MATH-G Circles Task Cards Exam not valid for Paper Pencil Test Sessions
|
|
- Annis Stewart
- 5 years ago
- Views:
Transcription
1 MATH-G Circles Task Cards Exam not valid for Paper Pencil Test Sessions [Exam ID:YL6VSY 1 Chords MA and TH intersect forming segments with the measures shown. What is the value of x? A 40 B 5 C 20 D 8 2 What is the value of x? A 15.7 B 7.7 C 2.6 D 1.5
2 3 If AP = 8 and PC = 4, what is the measure of AB, the diameter of this circle? A 2 B 6 C 8 D 4 4 Given: Circle J What is the value of y? A 38 B 50 C 88 D 92
3 5 Todd is planning a circular garden. The garden will be sectioned off for different plants. Todd is cutting the dividers for the garden. The dividers have the following measurements: AO = 6 ft, DO = 8 ft, and CO = 4 ft. What is the length of divider OB? A 8 ft B 16 ft C 10 ft D 12 ft 6 Chords AB and CD intersect, forming segments with the measures shown. What is the value of x? A 5 B 8 C 10 D 24
4 7 The sum of and is equal to A B C 120 D 8 Chords WP and KZ intersect at point L in the circle shown. What is the length of KZ? A 7.5 B 9 C 10 D 12
5 9 The figure shows a circle. m RPQ = 50 and m PRQ = 60 What is the measure of A 100 B 70 C 140 D A pizza has a diameter of 16 inches. Which is closest to the area of one slice if the pizza is divided into 6 equal pieces? A sq in. B sq in. C 67.2 sq in. D 33.5 sq in. 11 The spokes on a wagon wheel form twelve congruent central angles. What is the degree measure of A 90 B 120 C 150 D 30
6 12 The minute hand on a clock is 10 centimeters long and travels through an arc of 108 every 18 minutes. Which measure is closest to the length of the arc the minute hand travels through during this 18-minute period? A 3 cm B 6 cm C 9.4 cm D 18.8 cm 13 In circle O, the degree measure of is 280. What is the degree measure of POR? A 85 B 160 C 40 D 80
7 14 The circumference of circle C is 144π A 8π B 16π C 96π D 48π 15 Regular pentagon ABCDE is inscribed in circle P. What is the measure of arc CD? A 72 B 60 C 36 D 108
8 16 An architect used this diagram to design a curved balcony. She drew a circle with a radius of 40 feet and a central angle of 70 to determine the length of railing needed for the balcony. Which is closest to the length of railing needed for the curved section of the balcony? A 24 ft B 49 ft C 251 ft D 977 ft 17 A 180 B 90 C 135 D 45
9 18 What is the m ADC? A 77 B 46 C 80 D TW is a diameter of circle X, and TW is parallel to UV. If the measure of is 25, what is the degree measure of? A 210 B 130 C 155 D Which point lies on the circle represented by the equation (x - 1) 2 + (y - 3) 2 = 7 2? A (-1, 4) B (0, 7) C (1, 3) D (8, 3)
10 21 The equation (x - 1) 2 + (y - 3) 2 = r 2 represents circle A. The point B (4, 7) lies on the circle. What is r, the length of the radius of a circle A? A 13 B 5 C 5 5 D TV is a diameter of circle Z. What is the value of x? A 10 B 6 C 8 D 4 23 If is a diameter of circle P, what is m LMO? A 45 B 80 C 90 D 30
11 24 Katie has come upon a 6.25 ft puddle in the middle of the street and she knows that her car is 5.5 feet wide. If Katie was told that the tangent from the edge of the street to the circle is 7.5 feet, what is the width of the path (x ) between the puddle and the edge of the street? A 4.5 ft B 5 ft C 5.5 ft D 4 ft 25 In the diagram, AB is tangent to the circle at point A, and BD intersects the circle at points C and D. What is the value of x? A 3 B 4 C 6 D 5
12 26 If m AOB = 45 in circle O, what is m ACB? A 67.5 B 22.5 C 90 D A strawberry cake is cut into three pieces. The arc measures of all three pieces are congruent. What is the measure of angle XZY? A 240 B 120 C 40 D 60
13 28 Given: Circle P with center at (-4, 1) Which equation could represent circle P? A (x - 4) 2 + (y - 1) 2 = 41 B (x - 4) 2 + (y + 1) 2 = 41 C (x + 4) 2 + (y - 1) 2 = 41 D (x + 4) 2 + (y + 1) 2 = Penny is going to make a cake for a customer. She only has a triangular space left in the refrigerator. From the back corner of the space, the cake will need to sit 8 inches to the front and 12 inches to the side as shown in the drawing. What is the maximum radius the cake can have in order to fit in the triangular space? A 10 in B 8.5 in C 17 in D 5 in
14 30 Katie drops one of her plates and cracks it. The crack creates a central angle with an arc length of 7 inches. If the circumference of the plate is 35 inches, what is the measure of the central angle created by the crack? A 14 B 51 C 72 D 7 31 Paul needs to finish drawing the eye on the face in his poster. He has been given the measurements below, but needs to find the value of x to properly place the eye. What is the value of x? A 1 in B 6 in C 4 in D 3 in
15 32 Directions: Click on a box to choose each statement you want to select. You must select all true statements. A tree has a measured circumference of 15 inches in The tree grows ½ inch in diameter each year. In 2012, two round stationary bars are drilled into the tree, as illustrated below. Identify all true statements. The bars drilled into the tree are intersecting tangents. The angle Ɵ will remain constant as the tree expands. If Ɵ = 30 then the minor arc AB in 2012 will be approximately 3 inches. Sometime during 2012, the circumference will be exactly 16 inches. It will take more than 10 years for the circumference to double. The radius will double when the diameter doubles. 33 At a birthday party, Keisha split a pizza that has a diameter of 14 inches into 8 equal pieces. What is the approximate area of each slice? A 22 in 2 B 19.2 in 2 C 2.7 in 2 D 76.9 in 2
16 34 Find the length of arc AB when the diameter of circle C is 10 inches. 25π A in 9 B 2600π in 125π C in 9 D 20π in 35 Debbie s Pizza Shack cuts a large pizza into 10 equal slices. The diameter of the pizza is 16 inches. Bob eats two slices of pizza. How much pizza does he eat? A 3.2π in 2 B 6.4π in 2 C 51.2π in 2 D 12.8π in 2
17 36 Peter is landscaping a neighbor's circular flower garden. He has one last section of the garden that needs to be filled with stone. How many feet of stone will Peter need to fill this section of the garden? A ft 2 B ft 2 C ft 2 D ft 2 37 The area of the shaded sector of circle O is A 50π B 20π C 5π D 25π
18 38 Given: Circle P Which is closest to the area of the shaded sector of circle P? A 11 cm 2 B 28 cm 2 C 50 cm 2 D 78 cm 2 39 In the circle, what is the measure of ABC? A 60º B 140º C 120º D 30º
19 40 Two chords intersect with the measures shown in the drawing. What is the value of x? A 10.0 B 9.5 C 14.5 D What is m DAR in circle A? A 34º B 68º C 17º D 56º
20 42 Rodrigo planted flowers in a section of a circular garden as shown. Which is closest to the area of this section of the garden? A 118 sq ft B 82 sq ft C 29 sq ft D 18 sq ft 43 Write the equation for a circle that has a center at (2, 3) and a point on the circle at (6, 0). A (2 - x ) 2 - (3 - y ) 2 = 25 B (x - 2) 2 + (y - 3) 2 = 25 C (x - 2) 2 + (y - 3) 2 = 5 D (x + 2) 2 -(y + 3) 2 = Directions: Click on a box to choose each equation you want to select. You must select all correct equations. Identify each equation that represents a circle with a diameter length of 16. (x + 8) 2 + (y + 8) 2 = 16 (x - 16) 2 + (y - 16) 2 = 8 (x + 4) 2 + (y + 4) 2 = 16 (x - 2) 2 + (y + 8) 2 = 64 (x - 1) 2 + (y + 2) 2 = Directions: Click on a box to choose each point you want to select. You must select all correct points. A circle is defined by the equation (x - 4) 2 + y 2 = 9. Identify each point that lies on the circle. (-5, 0) (4, 3) (4, 9) (1, 0) (7, 0) (4, -3) (13, 0) (4, -9)
21 46 What is the length of the radius and the coordinates of the center of the circle defined by the equation x 2 + (y + 3) 2 = 36? A Center = (0, 3); radius = 6 B Center = (0, 3); radius = 36 C Center = (0, -3); radius = 6 D Center = (0, -3); radius = Directions: Type your answer in the box. The equation for circle P is 3x 2-12x + 3y y = 69. What is the radius of circle P? radius = 48 Directions: Click and drag the answers to the correct box. The equation of circle T is 3x 2 + 6x + 3y 2-18y = 9. Complete the statements for circle T below. (-1, 3) Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O? A (-6, -5) B (-2, -2) C (6, 4) D (8, 8)
22 50 Directions: Type your answer in the box. Identify the coordinates of the center of the circle by the equation (x + 4) 2 + (y - 5) 2 = 3 2. Place comma between coordinates. ( )
Circles Unit Test. Secondary Math II
Circles Unit Test Secondary Math II 1. Which pair of circles described are congruent to each other? Circle M has a radius of 6 m; Circle N has a diameter of 10 m. Circle J has a circumference of in; Circle
More informationAREA RELATED TO CIRCLES
CHAPTER 11 AREA RELATED TO CIRCLES (A) Main Concepts and Results Perimeters and areas of simple closed figures. Circumference and area of a circle. Area of a circular path (i.e., ring). Sector of a circle
More informationMid-Chapter Quiz: Lessons 10-1 through Refer to. 1. Name the circle. SOLUTION: The center of the circle is A. Therefore, the circle is ANSWER:
Refer to. 1. Name the circle. The center of the circle is A. Therefore, the circle is 2. Name a diameter. ; since is a chord that passes through the center, it is a diameter. 3. Name a chord that is not
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length www.jmap.org Name: G.C.B.5: Arc Length The diagram below shows circle O with radii OA and OB. The measure of angle AOB is 0, and the length of a radius is inches.
More informationRegents Exam Questions by Topic Page 1 ANGLES: Arc Length NAME:
Regents Exam Questions by Topic Page 1 1. 010725b As shown in the accompanying diagram, a dial in the shape of a semicircle has a radius of 4 centimeters. Find the measure of, in radians, when the pointer
More information10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference.
Page 90 Page 91 Page 92 Ch 10 Circles 10.1 Circles and Circumference Lesson Objectives Page 93 Standards Lesson Notes Page 94 10.1 Circles and Circumference Press the tabs to view details. 1 Lesson Objectives
More informationLesson 12.1 Skills Practice
Lesson 12.1 Skills Practice Name Date Introduction to Circles Circle, Radius, and Diameter Vocabulary Define each term in your own words. 1. circle 2. center of a circle 3. radius of a circle 4. diameter
More informationMCAS Review - Measurement Session 4A
lass: ate: I: MS Review - Measurement Session 4 Multiple hoice Identify the choice that best completes the statement or answers the question. 1 circle has an area of 16π square centimeters. What is the
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian
More informationG.C.B.5: Arc Length 1
Regents Exam Questions G.C.B.5: Arc Length 1 www.jmap.org Name: G.C.B.5: Arc Length 1 1 A sprinkler system is set up to water the sector shown in the accompanying diagram, with angle ABC measuring 1 radian
More information11.2 Start Thinking Warm Up Cumulative Review Warm Up
11.2 Start Thinking The circle in the diagram has a diameter of 14 inches. What is the area of the circle? Use the area of the circle to calculate the area of the sector created b the given measure of
More informationUniversity of Houston High School Mathematics Contest Geometry Exam Spring 2015
University of Houston High School Mathematics Contest Geometry Exam Spring 2015 Note that diagrams may not be drawn to scale. 1. A pool has a 4 foot wide sidewalk around it. If the pool is 28 feet long
More informationCHAPTER 10 SOL PROBLEMS
Modified and Animated By Chris Headlee Dec 2011 CHAPTER 10 SOL PROBLEMS Super Second-grader Methods SOL Problems; not Dynamic Variable Problems H and J are obtuse and ABC is acute ABC is small acute so
More informationGeometry Final Exam 2014 Study Guide. Name Date Block
Geometry Final Exam 014 Study Guide Name Date Block The final exam for Geometry will take place on June 5. The following study guide will help you prepare for the exam. Everything we have covered is fair
More informationGeometry Honors Final Exam Review June 2018
Geometry Honors Final Exam Review June 2018 1. Determine whether 128 feet, 136 feet, and 245 feet can be the lengths of the sides of a triangle. 2. Casey has a 13-inch television and a 52-inch television
More informationIndicate whether the statement is true or false.
PRACTICE EXAM IV Sections 6.1, 6.2, 8.1 8.4 Indicate whether the statement is true or false. 1. For a circle, the constant ratio of the circumference C to length of diameter d is represented by the number.
More informationReal-World Problems: Circles
11.3 Real-World Problems: Circles Lesson Objectives Solve real-world problems involving area and circumference of circles. Solve real-world problems involving semicircles, quadrants, and composite figures.
More informationCircles. Parts of a Circle: Vocabulary. Arc : Part of a circle defined by a chord or two radii. It is a part of the whole circumference.
Page 1 Circles Parts of a Circle: Vocabulary Arc : Part of a circle defined by a chord or two radii. It is a part of the whole circumference. Area of a disc : The measure of the surface of a disc. Think
More informationHow are the parts of a circle related?
Student Handout 1 How are the parts of a circle related? A circle has many specific parts including the Label the parts of the circle below. circumference radius, diameter, and circumference. d r Determine
More informationPre-Test. Use the following figure to answer Questions 1 through 6. B C. 1. What is the center of the circle? The center of the circle is point G.
Pre-Test Name Date Use the following figure to answer Questions 1 through 6. A B C F G E D 1. What is the center of the circle? The center of the circle is point G. 2. Name a radius of the circle. A radius
More informationClass X Chapter 12 Areas Related to Circles Maths
Exercise 12.1 Question 1: The radii of two circles are 19 cm and 9 cm respectively. Find the radius of the circle which has circumference equal to the sum of the circumferences of the two circles. Radius
More informationCK-12 Geometry: Circumference and Arc Length
CK-12 Geometry: Circumference and Arc Length Learning Objectives Find the circumference of a circle. Define the length of an arc and find arc length. Review Queue a. Find a central angle in that intercepts
More information11. Concentric Circles: Circles that lie in the same plane and have the same center.
Circles Definitions KNOW THESE TERMS 1. Circle: The set of all coplanar points equidistant from a given point. 2. Sphere: The set of all points equidistant from a given point. 3. Radius of a circle: The
More informationMath B Regents Exam 0806 Page b, P.I. A2.N.1
Math B Regents Exam 0806 Page 1 1. 080601b, P.I. A.N.1 1 The expression 4 is equal to [A] 8 [B] 4 [C] 16 [D] 4. 08060b, P.I. A.A. What is the solution of the equation x = 6? [A] 9 [B] 6 [C] 4 [D]. 08060b,
More informationGeometry Module 5 Unit 1 Practice Exam
Name: Class: Date: Geometry Module 5 Unit 1 Practice Exam Short Answer 1. What are the minor arcs of O? 2. What are the major arcs of O that contain point M? 3. Identify a semicircle that contains C. 1
More informationWARM UP. Sunday, November 16, 2014
WARM UP Sunday, November 16, 2014 1 2 3 4 5 6 7 8 9 10 Objectives Use properties of circles to derive the formula for sector area. Determine arc length and arc measure for given central and inscribed angle
More informationMath & 8.7 Circle Properties 8.6 #1 AND #2 TANGENTS AND CHORDS
Math 9 8.6 & 8.7 Circle Properties 8.6 #1 AND #2 TANGENTS AND CHORDS Property #1 Tangent Line A line that touches a circle only once is called a line. Tangent lines always meet the radius of a circle at
More informationMth 076: Applied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE
Mth 076: pplied Geometry (Individualized Sections) MODULE FOUR STUDY GUIDE INTRODUTION TO GEOMETRY Pick up Geometric Formula Sheet (This sheet may be used while testing) ssignment Eleven: Problems Involving
More informationUnit 1. GSE Analytic Geometry EOC Review Name: Units 1 3. Date: Pd:
GSE Analytic Geometry EOC Review Name: Units 1 Date: Pd: Unit 1 1 1. Figure A B C D F is a dilation of figure ABCDF by a scale factor of. The dilation is centered at ( 4, 1). 2 Which statement is true?
More information1. LINE SEGMENTS. a and. Theorem 1: If ABC A 1 B 1 C 1, then. the ratio of the areas is as follows: Theorem 2: If DE//BC, then ABC ADE and 2 AD BD
Chapter. Geometry Problems. LINE SEGMENTS Theorem : If ABC A B C, then the ratio of the areas is as follows: S ABC a b c ( ) ( ) ( ) S a b A BC c a a b c and b c Theorem : If DE//BC, then ABC ADE and AD
More information(A) 50 (B) 40 (C) 90 (D) 75. Circles. Circles <1M> 1.It is possible to draw a circle which passes through three collinear points (T/F)
Circles 1.It is possible to draw a circle which passes through three collinear points (T/F) 2.The perpendicular bisector of two chords intersect at centre of circle (T/F) 3.If two arcs of a circle
More informationGrade 9 Circles. Answer the questions. For more such worksheets visit
ID : ae-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer the questions (1) Two circles with centres O and O intersect at two points A and B. A line PQ is drawn parallel
More information11.3 areas of circles and sectors 2016 ink.notebook. April 12, Page 134 Page Areas of Circles and Sectors. Standards.
11.3 areas of circles and sectors 2016 ink.notebook Page 134 Page 133 11.3 Areas of Circles and Sectors Round to the nearest Lesson Objectives Standards Lesson Notes 11.3 Areas of Circles and Sectors Lesson
More informationName Grp Pd Date. Circles Test Review 1
ircles est eview 1 1. rc 2. rea 3. entral ngle 4. hord 5. ircumference 6. Diameter 7. Inscribed 8. Inscribed ngle 9. Intercepted rc 10. Pi 11. adius 12. ector 13. emicircle 14. angent 15. πr 2 16. 2πr
More informationChoose a circle to show how much each sentence is like you. Very Unlike Me. Unlike Me. Like Me. 01. I like maths at school. 02. I am good at maths.
Choose a circle to show how much each sentence is like you Very Unlike Me Unlike Me Like Me Very Like Me 1 2 3 4 01. I like maths at school. 02. I am good at maths. 03. My teacher thinks I am good at maths.
More informationNew Jersey Center for Teaching and Learning. Progressive Mathematics Initiative
Slide 1 / 150 New Jersey Center for Teaching and Learning Progressive Mathematics Initiative This material is made freely available at www.njctl.org and is intended for the non-commercial use of students
More informationIf x = 180 then the arc subtended by x is a semicircle which we know has length πr. Now we argue that:
Arclength Consider a circle of radius r and an angle of x degrees as shown in the figure below. The segment of the circle opposite the angle x is called the arc subtended by x. We need a formula for its
More information7 th Grade SAV Block 1 Practice Test Oregon Focus on Surface Area and Volume Block 1 Practice Test ~ Two-Dimensional Geometry.
Oregon Focus on Surface Area and Volume Block 1 Practice Test ~ Two-Dimensional Geometry Name Period Date Long/Short Term Learning Targets MA.MS.07.ALT.04: I can solve problems and explain formulas involving
More information0811ge. Geometry Regents Exam BC, AT = 5, TB = 7, and AV = 10.
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 2) 8 3) 3 4) 6 2 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More information1. Draw and label a diagram to illustrate the property of a tangent to a circle.
Master 8.17 Extra Practice 1 Lesson 8.1 Properties of Tangents to a Circle 1. Draw and label a diagram to illustrate the property of a tangent to a circle. 2. Point O is the centre of the circle. Points
More informationCircles Test Circumference/Area Calculator Active. Clearly label the following in the circle to the right.
Circles Test Circumference/Area Calculator Active Clearly label the following in the circle to the right. 1. Point B as the center 2. Diameter AC 3. Radius BD 4. Chord EF 5. Arc FG Find the following.
More informationVAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER)
BY:Prof. RAHUL MISHRA Class :- X QNo. VAISHALI EDUCATION POINT (QUALITY EDUCATION PROVIDER) CIRCLES Subject :- Maths General Instructions Questions M:9999907099,9818932244 1 In the adjoining figures, PQ
More informationUnit 3, Lesson 1: How Well Can You Measure?
Unit 3, Lesson 1: How Well Can You Measure? 1. Estimate the side length of a square that has a 9 cm long diagonal. 2. Select all quantities that are proportional to the diagonal length of a square. A.
More informationCHAPTER 10 CIRCLES Introduction
168 MATHEMATICS CIRCLES CHAPTER 10 10.1 Introduction You may have come across many objects in daily life, which are round in shape, such as wheels of a vehicle, bangles, dials of many clocks, coins of
More informationGauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 7-8 (Sprint Round 50 minutes)
Gauss School and Gauss Math Circle 2017 Gauss Math Tournament Grade 7-8 (Sprint Round 50 minutes) 1. Compute. 2. Solve for x: 3. What is the sum of the negative integers that satisfy the inequality 2x
More informationCircle Practice. D. chord 5. Which of the following is not a radius of the circle?
Name: Date: 1. In circle P, XY is a. 4. How many radii can be named in the diagram? A. radius. diameter A. 2. 3 C. 4 D. 5 C. chord D. circumference 2. In circle P, A is a. A. diameter. radius C. circumference
More informationClass X Delhi Math Set-3 Section A
Class X Delhi Math Set-3 Section A 1. The angle of depression of a car, standing on the ground, from the top of a 75 m high tower, is 30. The distance of the car from the base of the tower (in m.) is:
More information(b) Show that sin 2 =. 9 (c) Find the exact value of cos 2. (Total 6 marks)
IB SL Trig Review. In the triangle PQR, PR = 5 cm, QR = 4 cm and PQ = 6 cm. Calculate the size of PQˆ R ; the area of triangle PQR.. The following diagram shows a triangle ABC, where AĈB is 90, AB =, AC
More informationRecall the following facts for the Ferris wheel Carlos is riding:
SECONDARY MATH III // MODULE 6 In spite of his nervousness, Carlos enjoys his first ride on the amusement park Ferris wheel. He does, however, spend much of his time with his eyes fixed on the ground below
More informationWednesday, August 16, :30 to 11:30 a.m., only
MATHEMATICS B The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION MATHEMATICS B Wednesday, August 16, 2006 8:30 to 11:30 a.m., only Print Your Name: Print Your School's Name: Print
More informationHIGH SCHOOL - PROBLEMS
PURPLE COMET! MATH MEET April 2017 HIGH SCHOOL - PROBLEMS Copyright c Titu Andreescu and Jonathan Kane Problem 1 Paul starts at 1 and counts by threes: 1, 4, 7, 10,.... At the same time and at the same
More informationGozo College Boys Secondary Victoria - Gozo, Malta Ninu Cremona
Gozo College Boys Secondary Victoria - Gozo, Malta Ninu Cremona Half Yearly Examination 2011 2012 Form 4 Mathematics Scheme B Time: 20 Minutes NON CALCULTOR PAPER Answer all questions. Mark This paper
More informationCircles Print Activity. Use the Explore It mode to answer the following questions. 1. Use the diagram below to answer the following questions:
Name: Circles Print Activity Use the Explore It mode to answer the following questions. 1. Use the diagram below to answer the following questions: a. A is a/an angle. (central/inscribed) b. A is subtended
More informationCircles EOC Assessment 15%
MGSE9-12.G.C.1 1. Which of the following is false about circles? A. All circles are similar but not necessarily congruent. B. All circles have a common ratio of 3.14 C. If a circle is dilated with a scale
More informationAREAS RELATED TO CIRCLES Introduction
AREAS RELATED TO CIRCLES 3 AREAS RELATED TO CIRCLES 1 1.1 Introduction You are already familiar with some methods of finding perimeters and areas of simple plane figures such as rectangles, squares, parallelograms,
More informationUnit 8 Circle Geometry Exploring Circle Geometry Properties. 1. Use the diagram below to answer the following questions:
Unit 8 Circle Geometry Exploring Circle Geometry Properties Name: 1. Use the diagram below to answer the following questions: a. BAC is a/an angle. (central/inscribed) b. BAC is subtended by the red arc.
More information#2212 Geometry S2 #7772 Foundations in Geometry S2
Instructional Materials for WCSD Math Common Finals The Instructional Materials are for student and teacher use and are aligned to the Course Guides for the following courses: High School #2212 Geometry
More informationChapter (Circle) * Circle - circle is locus of such points which are at equidistant from a fixed point in
Chapter - 10 (Circle) Key Concept * Circle - circle is locus of such points which are at equidistant from a fixed point in a plane. * Concentric circle - Circle having same centre called concentric circle.
More informationGeometry Unit 8 - Notes Perimeter and Area
Geometry Unit 8 - Notes Perimeter and Area Syllabus Objective: 8. - The student will formulate strategies for finding the perimeter or area of various geometric figures. Review terms: ) area ) perimeter
More informationIn the same way that you used proportional reasoning to find the length of an arc, you can use proportional reasoning to find the area of a sector.
Name Class Date 16.3 Sector rea Essential Question: How do you find the area of a sector of a circle? Explore Derive the Formula for the rea of a Sector sector of a circle is a region bounded by two radii
More informationSection 4.2: Radians, Arc Length, and the Area of a Sector
CHAPTER 4 Trigonometric Functions Section 4.: Radians, Arc Length, and the Area of a Sector Measure of an Angle Formulas for Arc Length and Sector Area Measure of an Angle Degree Measure: 368 SECTION 4.
More information( ) 2 + ( 2 x ) 12 = 0, and explain why there is only one
IB Math SL Practice Problems - Algebra Alei - Desert Academy 0- SL Practice Problems Algebra Name: Date: Block: Paper No Calculator. Consider the arithmetic sequence, 5, 8,,. (a) Find u0. (b) Find the
More informationRiding a Ferris Wheel. Students should be able to answer these questions after Lesson 10.1:
.1 Riding a Ferris Wheel Introduction to ircles Students should be able to answer these questions after Lesson.1: What are the parts of a circle? How are the parts of a circle drawn? Read Question 1 and
More informationUnderstand and Apply Theorems about Circles
UNIT 4: CIRCLES AND VOLUME This unit investigates the properties of circles and addresses finding the volume of solids. Properties of circles are used to solve problems involving arcs, angles, sectors,
More informationSo, PQ is about 3.32 units long Arcs and Chords. ALGEBRA Find the value of x.
ALGEBRA Find the value of x. 1. Arc ST is a minor arc, so m(arc ST) is equal to the measure of its related central angle or 93. and are congruent chords, so the corresponding arcs RS and ST are congruent.
More informationAssignment Assigned Date Due Date Grade 6.7 Worksheet
Geometry Unit 6: Packet 2 CIRCLES This is a packet containing the homework and some classwork for the second half of unit 6. You will turn in completed assignments by their designated due date. If you
More informationRMT 2013 Geometry Test Solutions February 2, = 51.
RMT 0 Geometry Test Solutions February, 0. Answer: 5 Solution: Let m A = x and m B = y. Note that we have two pairs of isosceles triangles, so m A = m ACD and m B = m BCD. Since m ACD + m BCD = m ACB,
More informationARCS An ARC is any unbroken part of the circumference of a circle. It is named using its ENDPOINTS.
ARCS An ARC is any unbroken part of the circumference of a circle. It is named using its ENDPOINTS. A B X Z Y A MINOR arc is LESS than 1/2 way around the circle. A MAJOR arc is MORE than 1/2 way around
More informationCIRCLE PROPERTIES M.K. HOME TUITION. Mathematics Revision Guides. Level: GCSE Foundation Tier
Mathematics Revision Guides Circle Properties Page 1 of 5 M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Foundation Tier CIRCLE PROPERTIES Version:.1 Date: 8-10-01 Mathematics Revision Guides
More informationCBSE Board Class X Summative Assessment II Mathematics
CBSE Board Class X Summative Assessment II Mathematics Board Question Paper 2014 Set 2 Time: 3 hrs Max. Marks: 90 Note: Please check that this question paper contains 15 printed pages. Code number given
More informationArea Related to Circle Exercise 2
1 Area Related to Circle Exercise 2 Things to Remember Length of the arc of angle θ = (θ/360) 2πr Unless stated otherwise, use π =22/7. Question 1 Find the area of a sector of a circle with radius 6 cm
More information221 MATH REFRESHER session 3 SAT2015_P06.indd 221 4/23/14 11:39 AM
Math Refresher Session 3 1 Area, Perimeter, and Volume Problems Area, Perimeter, and Volume 301. Formula Problems. Here, you are given certain data about one or more geometric figures, and you are asked
More informationLesson 2B: Thales Theorem
Lesson 2B: Thales Theorem Learning Targets o I can identify radius, diameter, chords, central circles, inscribed circles and semicircles o I can explain that an ABC is a right triangle, then A, B, and
More information16.2 Arc Length and Radian Measure
Name Class Date 16.2 rc Length and Radian Measure Essential Question: How do you find the length of an arc? Explore Deriving the Formula for rc Length n arc is an unbroken part of a circle consisting of
More informationCIRCULAR MEASURE - SECTORS AND SEGMENTS
Mathematics Revision Guides Circular Measure Page 1 of M.K. HOME TUITION Mathematics Revision Guides Level: GCSE Higher Tier CIRCULAR MEASURE - SECTORS AND SEGMENTS Version: 3. Date: -10-014 Mathematics
More informationa) -64 b) 225 c) 27 d) 48 e) Find the corresponding conjugate of given complex numbers a)3-4i b) 4 5i c) 7 8i d)13 11i
Syllabus Unit 1: Similarity, Congruence, and Proof Unit 3: Circles and Spheres Unit 2: Right Triangle Trigonometry Unit 4: Extending the Number System 1. Simplify the following a) -64 b) 225 c) 27 d) 48
More informationTuesday, May 2, 2006
Final Exam MTH, Section # Tuesday, May, 006 Name (Print) Signature PID# DO NOT BEGIN THIS TEST UNTIL YOU ARE TOLD TO DO SO. This exam consists of multiple choice questions and open-ended questions on pages,
More informationThe University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY. Student Name:
GEOMETRY The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION GEOMETRY Wednesday, August 17, 2011 8:30 to 11:30 a.m., only Student Name: School Name: Print your name and the name of
More informationSave My Exams! The Home of Revision For more awesome GCSE and A level resources, visit us at 4H June 2017.
4H June 2017 Model Answers Level Subject Exam Board Paper Booklet IGCSE Maths Edexcel June 2017 4H Model Answers Time Allowed: Score: Percentage: 120 minutes / 100 /100 Grade Boundaries: 9 8 7 6 5 4 3
More informationKEY STANDARDS ADDRESSED: MM2G3. Students will understand the properties of circles.
KEY STANDARDS ADDRESSED:. Students will understand the properties of circles. a. Understand and use properties of chords, tangents, and secants an application of triangle similarity. b. Understand and
More informationMath 0200 Final Exam Review Questions
Math 000 Final Eam Review Questions 1. Simplif: 4 8i + 8 ( 7). Simplif: 11 ( 9) + 6(10 4) + 4. Simplif ( 5 + 7) ( ) 8 6 4. Simplif: (4 ) 9 i 5. Simplif: 4 7 6. Evaluate 4 + 5 when = and = Write each of
More information8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers
Pellissippi State Middle School Mathematics Competition 8 th Grade Exam Scoring Format: 3 points per correct response -1 each wrong response 0 for blank answers Directions: For each multiple-choice problem
More informationMath 9 Chapter 8 Practice Test
Name: Class: Date: ID: A Math 9 Chapter 8 Practice Test Short Answer 1. O is the centre of this circle and point Q is a point of tangency. Determine the value of t. If necessary, give your answer to the
More information3. A square has 4 sides, so S = 4. A pentagon has 5 vertices, so P = 5. Hence, S + P = 9. = = 5 3.
JHMMC 01 Grade Solutions October 1, 01 1. By counting, there are 7 words in this question.. (, 1, ) = 1 + 1 + = 9 + 1 + =.. A square has sides, so S =. A pentagon has vertices, so P =. Hence, S + P = 9..
More information2005 Chapter Competition Countdown Round Problems 1 80
005 Chapter Competition Countdown Round Problems 1 80 This section contains problems to be used in the Countdown Round. Founding Sponsors CNA Foundation National Society of Professional Engineers National
More informationSAMPLE QUESTIONS CLASS X
SAMPLE QUESTIONS SUMMATIVE ASSESSMENT II 2014 2015 CLASS X Mathematics VSA: 1 MARKS 1. If the common difference of an AP is 3, then what is a15 - a 9? 2. If the ratio between the length of the shadow of
More informationMATHCOUNTS State Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO.
MATHCOUNTS Name School Chapter 2011 State Competition Sprint Round Problems 1 30 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. This section of the competition consists of 30 problems. You will have 40
More informationA circle is the set of points that are equidistant from a special point in the called the.
NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Lesson Notes 9.3 Lesson Objectives Model and identify circle, radius, diameter, center, circumference, and chord. Draw, label, and determine relationships
More informationMeet #4. Math League SCASD. Self-study Packet. Problem Categories for this Meet (in addition to topics of earlier meets):
Math League SCASD Meet #4 Self-study Packet Problem Categories for this Meet (in addition to topics of earlier meets): 1. Mystery: Problem solving 2. : Properties of Circles 3. Number Theory: Modular Arithmetic,
More informationMath 9 Unit 8: Circle Geometry Pre-Exam Practice
Math 9 Unit 8: Circle Geometry Pre-Exam Practice Name: 1. A Ruppell s Griffon Vulture holds the record for the bird with the highest documented flight altitude. It was spotted at a height of about 11 km
More informationThere s a science to it!
Page 1 There s a science to it REDESIGNED SAT Practice Material Written by Montclair High School Math Teacher Ryan Casazza Topic: Geometry and Statistics *All answers are at the end of this document. 1)
More information( ) Chapter 10 Review Question Answers. Find the value of x mhg. m B = 1 2 ( 80 - x) H x G. E 30 = 80 - x. x = 50. Find m AXB and m Y A D X 56
hapter 10 Review Question nswers 1. ( ) Find the value of mhg 30 m = 1 2 ( 30) = 15 F 80 m = 1 2 ( 80 - ) H G E 30 = 80 - = 50 2. Find m X and m Y m X = 1 120 + 56 2 ( ) = 88 120 X 56 Y m Y = 1 120-56
More informationComprehensive Mathematics Contest
Comprehensive Mathematics Contest Elon University Mathematics and Statistics Department Saturday, March 17, 2018 Multiple Choice 1. Let a and b be lengths of the major and minor axis of the ellipse given
More informationPark Forest Math Team. Meet #4. Geometry. Self-study Packet
Park Forest Math Team Meet #4 Self-study Packet Problem Categories for this Meet: 1. Mystery: Problem solving 2. : ngle measures in plane figures including supplements and complements 3. Number Theory:
More informationMATHEMATICS TEST 60 Minutes 60 Questions
MATHEMATICS TEST 60 Minutes 60 Questions DIRECTIONS: Solve each problem, choose the correct answer, and then fill in the corresponding oval on your answer document. Do not linger over problems that take
More informationCDS-I 2019 Elementary Mathematics (Set-C)
1 CDS-I 019 Elementary Mathematics (Set-C) Direction: Consider the following for the next three (03) items : A cube is inscribed in a sphere. A right circular cylinder is within the cube touching all the
More information(A) 20% (B) 25% (C) 30% (D) % (E) 50%
ACT 2017 Name Date 1. The population of Green Valley, the largest suburb of Happyville, is 50% of the rest of the population of Happyville. The population of Green Valley is what percent of the entire
More informationCircumference and Arc Length
Circumference and Arc Length Say Thanks to the Authors Click http://www.ck12.org/saythanks (No sign in required) To access a customizable version of this book, as well as other interactive content, visit
More information10. Circles. Q 5 O is the centre of a circle of radius 5 cm. OP AB and OQ CD, AB CD, AB = 6 cm and CD = 8 cm. Determine PQ. Marks (2) Marks (2)
10. Circles Q 1 True or False: It is possible to draw two circles passing through three given non-collinear points. Mark (1) Q 2 State the following statement as true or false. Give reasons also.the perpendicular
More information0811ge. Geometry Regents Exam
0811ge 1 The statement "x is a multiple of 3, and x is an even integer" is true when x is equal to 1) 9 ) 8 3) 3 4) 6 In the diagram below, ABC XYZ. 4 Pentagon PQRST has PQ parallel to TS. After a translation
More information