Circles Print Activity. Use the Explore It mode to answer the following questions. 1. Use the diagram below to answer the following questions:
|
|
|
- Jack Neal
- 5 years ago
- Views:
Transcription
1 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 by the red arc. c. A is inscribed in arc. (BA/AC/BAC) 2. Select and then click to answer the following: f. Drag A and size. a. A and B are subtended by the red arc. b. A is inscribed in arc. (DA/DAB/DABC) c. B is inscribed in arc. (DB/ABC/DABC) d. A = B e. D = C B along arc DABC. Angles and change in g. Click and drag C along arc CD. arc. C and D are subtended by the red h. Click and change the size of the circle. Do any of the angle values change?. i. Click and change the location of the circle. Do any of the angle values change?. j. Conclusion: Angles subtended by the same arc are. Junior High Math Interactives Page 1 of 6
2 3. Select Click and click. Drag D to the right until A = 55 as shown in the diagram below. a. B o b. C c. D d. The angles subtended by arc AB are and. e. The angles subtended by arc DC are and. f. Conclusion: Angles subtended by the same arc are. 4. Select and click to answer the following: a. The inscribed angle is and it is subtended by the red arc. b. The central angle is. c. A = and COB d. Drag A around the circle until it measures 110. COB e. Click and drag C to the right to make central COB = 40. The inscribed angle is now. f. Click and drag C to the left to make inscribed A =100. The central angle is now. g. Click and change the size of the circle. Do any of the angle values change?. h. Click and change the location of the circle. Do any of the angle values change?. Junior High Math Interactives Page 2 of 6
3 4. con d i. Conclusion: The central angle measures the inscribed angle subtended by the same arc. (half / twice) 5. Select and click. Move B to the left until the central angle COB = 40 as shown in the diagram below. a. The inscribed angle is. b. The inscribed angle and the central angle are subtended by the same arc.. o c. COB = 40 and the inscribed angle =. d. Change the size of the circle. Do any of the angle values change?. e. Change the location of the circle. Do any of the angle values change?. f. Conclusion: The central angle measures the inscribed angle subtended by the same arc. (half / twice) 6. Select and click to answer the following: a. The red tangents to the circle are and. b. The tangent lengths are. c. C = D d. Move A around the outside of the circle. C = D =. e. Move C and D around the circumference of the circle. C = D f. Move B around the circle. OB, OC and OD are in length. Junior High Math Interactives Page 3 of 6
4 6. cont d g. Change the size of the circle. Do the tangent lengths change? Do the sizes of C or D change? h. Change the location of the circle. Do the tangent lengths change? Do the sizes of C or D change? h. Conclusion: A tangent to a circle is perpendicular to the at the point of tangency. 7. Select and click to answer the following: a. CD is called a. b. The midpoint of CD is. (A/0/B) c. The radius shown is. d. Move B around the circle until it intersects the chord CD at 90. When the radius passes through the midpoint of the chord, the lengths of CA and DA (or CE and DE) are. e. Click and move midpoint A until the chord CD intersects OB at 90. The lengths of CA and DA (or CE and DE) are. f. Click and move C and D around the circle until the chord intersects line OB at 90. The lengths of CA and DA (or CE and DE) are. g. Using the diagram from part f above, change the size of the circle. The lengths of CA and DA (or CE and DE) are. h. Using the diagram from part f above, change the location of the circle. The lengths of CA and DA (or CE and DE) are. Junior High Math Interactives Page 4 of 6
5 7. cont d i. Conclusion: The perpendicular from the centre of a circle bisects the. 8. Select and obtain the diagram below to answer the following: a. OB is a of the circle. b. CD is a of the circle. c. OB intersects CD at and angle of. d. The perpendicular from the centre of a circle bisects the. e. If CD measures 10 cm then CA and DA measure cm. 9. Select and click. Drag CD around the circle until A is on centre O and CD measures 16 as shown below. a. The length of AC =. b. The length of radius OB =. c. If the chord passes through the centre of circle and is twice the length of the radius, then the chord CD must be the. (diameter/radius) Junior High Math Interactives Page 5 of 6
6 10. Each diagram below is an example of one of the circle properties. Match the Circle Property to the diagram it illustrates. Circle Properties: Chord: The perpendicular from the centre of a circle to a chord bisects the chord. Central Angle: The measure of the central angle is equal to twice the measure of the inscribed angle subtended by the same arc. Inscribed Angle: The inscribed angles subtended by the same arc are equal in measure. Tangent: A tangent to a circle is perpendicular to the radius at the point of tangency. Property: Property: Property: Property: Junior High Math Interactives Page 6 of 6
Unit 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.
Ch 10 Review. Multiple Choice Identify the choice that best completes the statement or answers the question.
Ch 10 Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. In the diagram shown, the measure of ADC is a. 55 b. 70 c. 90 d. 180 2. What is the measure
Math & 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
Chapter (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.
Side c is called the hypotenuse. Side a, and side b, are the other 2 sides.
8.1 Properties of Tangents to a Circle Recall: Theorem of Pythagoras Side c is called the hypotenuse. Side a, and side b, are the other 2 sides. b Recall: Angle Sum Property In any triangle, the angles
Math 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
1. 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
Chapter-wise questions
hapter-wise questions ircles 1. In the given figure, is circumscribing a circle. ind the length of. 3 15cm 5 2. In the given figure, is the center and. ind the radius of the circle if = 18 cm and = 3cm
Chapter 10. Properties of Circles
Chapter 10 Properties of Circles 10.1 Use Properties of Tangents Objective: Use properties of a tangent to a circle. Essential Question: how can you verify that a segment is tangent to a circle? Terminology:
Circles. II. Radius - a segment with one endpoint the center of a circle and the other endpoint on the circle.
Circles Circles and Basic Terminology I. Circle - the set of all points in a plane that are a given distance from a given point (called the center) in the plane. Circles are named by their center. II.
Tangent Lines Unit 10 Lesson 1 Example 1: Tell how many common tangents the circles have and draw them.
Tangent Lines Unit 10 Lesson 1 EQ: How can you verify that a segment is tangent to a circle? Circle: Center: Radius: Chord: Diameter: Secant: Tangent: Tangent Lines Unit 10 Lesson 1 Example 1: Tell how
Solve problems involving tangents to a circle. Solve problems involving chords of a circle
8UNIT ircle Geometry What You ll Learn How to Solve problems involving tangents to a circle Solve problems involving chords of a circle Solve problems involving the measures of angles in a circle Why Is
C=2πr C=πd. Chapter 10 Circles Circles and Circumference. Circumference: the distance around the circle
10.1 Circles and Circumference Chapter 10 Circles Circle the locus or set of all points in a plane that are A equidistant from a given point, called the center When naming a circle you always name it by
Edexcel New GCE A Level Maths workbook Circle.
Edexcel New GCE A Level Maths workbook Circle. Edited by: K V Kumaran kumarmaths.weebly.com 1 Finding the Midpoint of a Line To work out the midpoint of line we need to find the halfway point Midpoint
Intermediate Math Circles Wednesday October Problem Set 3
The CETRE for EDUCTI in MTHEMTICS and CMPUTIG Intermediate Math Circles Wednesday ctober 24 2012 Problem Set 3.. Unless otherwise stated, any point labelled is assumed to represent the centre of the circle.
Example 1: Finding angle measures: I ll do one: We ll do one together: You try one: ML and MN are tangent to circle O. Find the value of x
Ch 1: Circles 1 1 Tangent Lines 1 Chords and Arcs 1 3 Inscribed Angles 1 4 Angle Measures and Segment Lengths 1 5 Circles in the coordinate plane 1 1 Tangent Lines Focused Learning Target: I will be able
VAISHALI 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
(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
+ 2gx + 2fy + c = 0 if S
CIRCLE DEFINITIONS A circle is the locus of a point which moves in such a way that its distance from a fixed point, called the centre, is always a constant. The distance r from the centre is called the
RMT 2014 Geometry Test Solutions February 15, 2014
RMT 014 Geometry Test Solutions February 15, 014 1. The coordinates of three vertices of a parallelogram are A(1, 1), B(, 4), and C( 5, 1). Compute the area of the parallelogram. Answer: 18 Solution: Note
2012 GCSE Maths Tutor All Rights Reserved
2012 GCSE Maths Tutor All Rights Reserved www.gcsemathstutor.com This book is under copyright to GCSE Maths Tutor. However, it may be distributed freely provided it is not sold for profit. Contents angles
Plane geometry Circles: Problems with some Solutions
The University of Western ustralia SHL F MTHMTIS & STTISTIS UW MY FR YUNG MTHMTIINS Plane geometry ircles: Problems with some Solutions 1. Prove that for any triangle, the perpendicular bisectors of the
Mid-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
chapter 1 vector geometry solutions V Consider the parallelogram shown alongside. Which of the following statements are true?
chapter vector geometry solutions V. Exercise A. For the shape shown, find a single vector which is equal to a)!!! " AB + BC AC b)! AD!!! " + DB AB c)! AC + CD AD d)! BC + CD!!! " + DA BA e) CD!!! " "
Properties of the Circle
9 Properties of the Circle TERMINOLOGY Arc: Part of a curve, most commonly a portion of the distance around the circumference of a circle Chord: A straight line joining two points on the circumference
Name two radii in Circle E.
A C E B D Name two radii in Circle E. Unit 4: Prerequisite Terms A C E B D ECandED Unit 4: Prerequisite Terms A C E B D Name all chords in Circle E. Unit 4: Prerequisite Terms A C E B D AD, CD, AB Unit
ARCS 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
EXPLORING CHORDS. Q1. Draw and label a radius on the circle. How does a chord compare with a radius? What are their similarities and differences?
EXPLORING CHORDS Name: Date: In this activity you will be using Geogebra to explore some properties associated with chords within a circle. Please answer each question throughout the activity marked Q#
SM2H Unit 6 Circle Notes
Name: Period: SM2H Unit 6 Circle Notes 6.1 Circle Vocabulary, Arc and Angle Measures Circle: All points in a plane that are the same distance from a given point, called the center of the circle. Chord:
CIRCLES MODULE - 3 OBJECTIVES EXPECTED BACKGROUND KNOWLEDGE. Circles. Geometry. Notes
Circles MODULE - 3 15 CIRCLES You are already familiar with geometrical figures such as a line segment, an angle, a triangle, a quadrilateral and a circle. Common examples of a circle are a wheel, a bangle,
Math 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
Circles 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
Circles in Neutral Geometry
Everything we do in this set of notes is Neutral. Definitions: 10.1 - Circles in Neutral Geometry circle is the set of points in a plane which lie at a positive, fixed distance r from some fixed point.
Circle 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
GCSE METHODS IN MATHEMATICS
Q Qualifications GCSE METHODS IN MTHEMTICS Linked Pair Pilot Specification (9365) ssessment Guidance Our specification is published on our website (www.aqa.org.uk). We will let centres know in writing
C Given that angle BDC = 78 0 and DCA = Find angles BAC and DBA.
UNERSTNING IRLE THEREMS-PRT NE. ommon terms: (a) R- ny portion of a circumference of a circle. (b) HR- line that crosses a circle from one point to another. If this chord passes through the centre then
Answer Key. 9.1 Parts of Circles. Chapter 9 Circles. CK-12 Geometry Concepts 1. Answers. 1. diameter. 2. secant. 3. chord. 4.
9.1 Parts of Circles 1. diameter 2. secant 3. chord 4. point of tangency 5. common external tangent 6. common internal tangent 7. the center 8. radius 9. chord 10. The diameter is the longest chord in
Grade 11 Pre-Calculus Mathematics (1999) Grade 11 Pre-Calculus Mathematics (2009)
Use interval notation (A-1) Plot and describe data of quadratic form using appropriate scales (A-) Determine the following characteristics of a graph of a quadratic function: y a x p q Vertex Domain and
21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle.
21. Prove that If one side of the cyclic quadrilateral is produced then the exterior angle is equal to the interior opposite angle. 22. Prove that If two sides of a cyclic quadrilateral are parallel, then
Euclidian Geometry Grade 10 to 12 (CAPS)
Euclidian Geometry Grade 10 to 12 (CAPS) Compiled by Marlene Malan marlene.mcubed@gmail.com Prepared by Marlene Malan CAPS DOCUMENT (Paper 2) Grade 10 Grade 11 Grade 12 (a) Revise basic results established
Page 1 of 15. Website: Mobile:
Exercise 10.2 Question 1: From a point Q, the length of the tangent to a circle is 24 cm and the distance of Q from the centre is 25 cm. The radius of the circle is (A) 7 cm (B) 12 cm (C) 15 cm (D) 24.5
Class IX Chapter 1 Number Sustems Maths
Class IX Chapter 1 Number Sustems Maths Exercise 1.1 Question Is zero a rational number? Can you write it in the form 0? and q, where p and q are integers Yes. Zero is a rational number as it can be represented
Mth 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
Review for Grade 9 Math Exam - Unit 8 - Circle Geometry
Name: Review for Grade 9 Math Exam - Unit 8 - ircle Geometry Date: Multiple hoice Identify the choice that best completes the statement or answers the question. 1. is the centre of this circle and point
Page 1
Pacing Chart Unit Week Day CCSS Standards Objective I Can Statements 121 CCSS.MATH.CONTENT.HSG.C.A.1 Prove that all circles are similar. Prove that all circles are similar. I can prove that all circles
Circle geometry investigation: Student worksheet
Circle geometry investigation: Student worksheet http://topdrawer.aamt.edu.au/geometric-reasoning/good-teaching/exploringcircles/explore-predict-confirm/circle-geometry-investigations About these activities
Core Mathematics 2 Coordinate Geometry
Core Mathematics 2 Coordinate Geometry Edited by: K V Kumaran Email: kvkumaran@gmail.com Core Mathematics 2 Coordinate Geometry 1 Coordinate geometry in the (x, y) plane Coordinate geometry of the circle
Additional Mathematics Lines and circles
Additional Mathematics Lines and circles Topic assessment 1 The points A and B have coordinates ( ) and (4 respectively. Calculate (i) The gradient of the line AB [1] The length of the line AB [] (iii)
Class 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:
Math 3 Quarter 4 Overview
Math 3 Quarter 4 Overview EO5 Rational Functions 13% EO6 Circles & Circular Functions 25% EO7 Inverse Functions 25% EO8 Normal Distribution 12% Q4 Final 10% EO5 Opp #1 Fri, Mar 24th Thu, Mar 23rd ML EO5
Circles. 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle ACB.
ircles Name: Date: 1. In the accompanying figure, the measure of angle AOB is 50. Find the measure of inscribed angle AB. 4. In the accompanying diagram, P is tangent to circle at and PAB is a secant.
1) With a protractor (or using CABRI), carefully measure nacb and write down your result.
4.5 The Circle Theorem Moment for Discovery: Inscribed Angles Draw a large circle and any of its chords AB, as shown. Locate three points C, C', and C'' at random on the circle and on the same side of
RMT 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,
It is known that the length of the tangents drawn from an external point to a circle is equal.
CBSE -MATHS-SET 1-2014 Q1. The first three terms of an AP are 3y-1, 3y+5 and 5y+1, respectively. We need to find the value of y. We know that if a, b and c are in AP, then: b a = c b 2b = a + c 2 (3y+5)
CIRCLES, CHORDS AND TANGENTS
NAME SCHOOL INDEX NUMBER DATE CIRCLES, CHORDS AND TANGENTS KCSE 1989 2012 Form 3 Mathematics Working Space 1. 1989 Q24 P2 The figure below represents the cross section of a metal bar. C A 4cm M 4cm B The
10. 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
Trans Web Educational Services Pvt. Ltd B 147,1st Floor, Sec-6, NOIDA, UP
Solved Examples Example 1: Find the equation of the circle circumscribing the triangle formed by the lines x + y = 6, 2x + y = 4, x + 2y = 5. Method 1. Consider the equation (x + y 6) (2x + y 4) + λ 1
Arcs and Inscribed Angles of Circles
Arcs and Inscribed Angles of Circles Inscribed angles have: Vertex on the circle Sides are chords (Chords AB and BC) Angle ABC is inscribed in the circle AC is the intercepted arc because it is created
Exhaustion: From Eudoxus to Archimedes
Exhaustion: From Eudoxus to Archimedes Franz Lemmermeyer April 22, 2005 Abstract Disclaimer: Eventually, I plan to polish this and use my own diagrams; so far, most of it is lifted from the web. Exhaustion
AREA 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
Unit 10 Geometry Circles. NAME Period
Unit 10 Geometry Circles NAME Period 1 Geometry Chapter 10 Circles ***In order to get full credit for your assignments they must me done on time and you must SHOW ALL WORK. *** 1. (10-1) Circles and Circumference
1998 Harvard/MIT Math Tournament GEOMETRY Answer Sheet
1998 Harvard/MIT Math Tournament GEOMETRY Answer Sheet Name: School: Grade: 1 7 2 8 3 9 4 10a 5 10b 6 10c TOTAL: GEOMETRY Question One. [3 points] Quadrilateral ALEX, pictured below (but not necessarily
( 1 ) Find the co-ordinates of the focus, length of the latus-rectum and equation of the directrix of the parabola x 2 = - 8y.
PROBLEMS 04 - PARABOLA Page 1 ( 1 ) Find the co-ordinates of the focus, length of the latus-rectum and equation of the directrix of the parabola x - 8. [ Ans: ( 0, - ), 8, ] ( ) If the line 3x 4 k 0 is
LAMC Intermediate I & II March 1, Oleg Gleizer. A natural unit of measuring angles, a radian
LAMC Intermediate I & II March 1, 2015 Oleg Gleizer prof1140g@math.ucla.edu A natural unit of measuring angles, a radian Consider an angle and a circle such that the vertex of the angle is the center of
Unit Circle: The unit circle has radius 1 unit and is centred at the origin on the Cartesian plane. POA
The Unit Circle Unit Circle: The unit circle has radius 1 unit and is centred at the origin on the Cartesian plane THE EQUATION OF THE UNIT CIRCLE Consider any point P on the unit circle with coordinates
New 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
MIND ACTION SERIES. MATHEMATICS PRACTISE EXAMINATION (Original Paper set up by Mark Phillips) GRADE 12 PAPER 2 OCTOBER 2016 TIME: 3 HOURS MARKS: 150
1 MIND ACTION SERIES MATHEMATICS PRACTISE EXAMINATION (Original Paper set up by Mark Phillips) GRADE 1 PAPER OCTOBER 016 TIME: 3 HOURS MARKS: 150 INSTRUCTIONS AND INFORMATION Read the following instructions
5 Find an equation of the circle in which AB is a diameter in each case. a A (1, 2) B (3, 2) b A ( 7, 2) B (1, 8) c A (1, 1) B (4, 0)
C2 CRDINATE GEMETRY Worksheet A 1 Write down an equation of the circle with the given centre and radius in each case. a centre (0, 0) radius 5 b centre (1, 3) radius 2 c centre (4, 6) radius 1 1 d centre
Grade 9 Circles. Answer t he quest ions. For more such worksheets visit
ID : th-9-circles [1] Grade 9 Circles For more such worksheets visit www.edugain.com Answer t he quest ions (1) ABCD is a cyclic quadrilateral such that AB is a diameter of the circle circumscribing it
LLT Education Services
8. The length of a tangent from a point A at distance 5 cm from the centre of the circle is 4 cm. Find the radius of the circle. (a) 4 cm (b) 3 cm (c) 6 cm (d) 5 cm 9. From a point P, 10 cm away from the
Recognise the Equation of a Circle. Solve Problems about Circles Centred at O. Co-Ordinate Geometry of the Circle - Outcomes
1 Co-Ordinate Geometry of the Circle - Outcomes Recognise the equation of a circle. Solve problems about circles centred at the origin. Solve problems about circles not centred at the origin. Determine
Calculate the circumference of a circle with radius 5 cm. Calculate the area of a circle with diameter 20 cm.
ETIE F CICLE evision. The terms Diameter, adius, Circumference, rea of a circle should be revised along with the revision of circumference and area. ome straightforward examples should be gone over with
Geometry: Introduction, Circle Geometry (Grade 12)
OpenStax-CNX module: m39327 1 Geometry: Introduction, Circle Geometry (Grade 12) Free High School Science Texts Project This work is produced by OpenStax-CNX and licensed under the Creative Commons Attribution
PhysicsAndMathsTutor.com
1. The diagram above shows the sector OA of a circle with centre O, radius 9 cm and angle 0.7 radians. Find the length of the arc A. Find the area of the sector OA. The line AC shown in the diagram above
Grade 9 Geometry-Overall
ID : au-9-geometry-overall [1] Grade 9 Geometry-Overall For more such worksheets visit www.edugain.com Answer t he quest ions (1) A chord of a circle is equal to its radius. Find the angle subtended by
Indicate 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.
(D) (A) Q.3 To which of the following circles, the line y x + 3 = 0 is normal at the point ? 2 (A) 2
CIRCLE [STRAIGHT OBJECTIVE TYPE] Q. The line x y + = 0 is tangent to the circle at the point (, 5) and the centre of the circles lies on x y = 4. The radius of the circle is (A) 3 5 (B) 5 3 (C) 5 (D) 5
Study Guide. Exploring Circles. Example: Refer to S for Exercises 1 6.
9 1 Eploring ircles A circle is the set of all points in a plane that are a given distance from a given point in the plane called the center. Various parts of a circle are labeled in the figure at the
Grade 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
CBSE 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
Berkeley Math Circle, May
Berkeley Math Circle, May 1-7 2000 COMPLEX NUMBERS IN GEOMETRY ZVEZDELINA STANKOVA FRENKEL, MILLS COLLEGE 1. Let O be a point in the plane of ABC. Points A 1, B 1, C 1 are the images of A, B, C under symmetry
Chapter 3. - parts of a circle.
Chapter 3 - parts of a circle. 3.1 properties of circles. - area of a sector of a circle. the area of the smaller sector can be found by the following formula: A = qº 360º pr2, given q in degrees, or!
Lesson 7.1: Central Angles
Lesson 7.1: Central Angles Definition 5.1 Arc An arc is a part of a circle. Types of Arc 1. Minor Arc 2. Major Arc 3. Semicircle Figure 5.1 Definition 5.2 Central Angle A central angle of a circle is an
UNIT 6. BELL WORK: Draw 3 different sized circles, 1 must be at LEAST 15cm across! Cut out each circle. The Circle
UNIT 6 BELL WORK: Draw 3 different sized circles, 1 must be at LEAST 15cm across! Cut out each circle The Circle 1 Questions How are perimeter and area related? How are the areas of polygons and circles
Circles. Exercise 9.1
9 uestion. Exercise 9. How many tangents can a circle have? Solution For every point of a circle, we can draw a tangent. Therefore, infinite tangents can be drawn. uestion. Fill in the blanks. (i) tangent
Key competencies (student abilities)
Year 9 Mathematics Cambridge IGCSE Mathematics is accepted by universities and employers as proof of mathematical knowledge and understanding. Successful Cambridge IGCSE Mathematics candidates gain lifelong
b UVW is a right-angled triangle, therefore VW is the diameter of the circle. Centre of circle = Midpoint of VW = (8 2) + ( 2 6) = 100
Circles 6F a U(, 8), V(7, 7) and W(, ) UV = ( x x ) ( y y ) = (7 ) (7 8) = 8 VW = ( 7) ( 7) = 64 UW = ( ) ( 8) = 8 Use Pythagoras' theorem to show UV UW = VW 8 8 = 64 = VW Therefore, UVW is a right-angled
0610ge. Geometry Regents Exam The diagram below shows a right pentagonal prism.
0610ge 1 In the diagram below of circle O, chord AB chord CD, and chord CD chord EF. 3 The diagram below shows a right pentagonal prism. Which statement must be true? 1) CE DF 2) AC DF 3) AC CE 4) EF CD
0811ge. 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
Circle Geometry. What You'll Learn. Why It's Important. in design. about circles?
Circle Geometry We see circles in n i iture and in design. What do you aire a ly know about circles? What You'll Learn Cir< le properties that relate: a tan( ent to a circle and the radius < f the circle
Part (1) Second : Trigonometry. Tan
Part (1) Second : Trigonometry (1) Complete the following table : The angle Ratio 42 12 \ Sin 0.3214 Cas 0.5321 Tan 2.0625 (2) Complete the following : 1) 46 36 \ 24 \\ =. In degrees. 2) 44.125 = in degrees,
Geometry Honors Homework
Geometry Honors Homework pg. 1 12-1 Practice Form G Tangent Lines Algebra Assume that lines that appear to be tangent are tangent. O is the center of each circle. What is the value of x? 1. 2. 3. The circle
Label carefully each of the following:
Label carefully each of the following: Circle Geometry labelling activity radius arc diameter centre chord sector major segment tangent circumference minor segment Board of Studies 1 These are the terms
2005 Palm Harbor February Invitational Geometry Answer Key
005 Palm Harbor February Invitational Geometry Answer Key Individual 1. B. D. C. D 5. C 6. D 7. B 8. B 9. A 10. E 11. D 1. C 1. D 1. C 15. B 16. B 17. E 18. D 19. C 0. C 1. D. C. C. A 5. C 6. C 7. A 8.
0811ge. 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
Circles, Mixed Exercise 6
Circles, Mixed Exercise 6 a QR is the diameter of the circle so the centre, C, is the midpoint of QR ( 5) 0 Midpoint = +, + = (, 6) C(, 6) b Radius = of diameter = of QR = of ( x x ) + ( y y ) = of ( 5
COMMON UNITS OF PERIMITER ARE METRE
MENSURATION BASIC CONCEPTS: 1.1 PERIMETERS AND AREAS OF PLANE FIGURES: PERIMETER AND AREA The perimeter of a plane figure is the total length of its boundary. The area of a plane figure is the amount of
10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152]
![10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152]](/thumbs/94/121826807.jpg "10. Show that the conclusion of the. 11. Prove the above Theorem. [Th 6.4.7, p 148] 4. Prove the above Theorem. [Th 6.5.3, p152]")
foot of the altitude of ABM from M and let A M 1 B. Prove that then MA > MB if and only if M 1 A > M 1 B. 8. If M is the midpoint of BC then AM is called a median of ABC. Consider ABC such that AB < AC.
Answer key. when inscribed angles intercept equal arcs, they are congruent an angle inscribed in a semi-circle is a. All right angles are congruent
Name Answer key Lesson 5.5 Circle Proofs Date CC Geometry Do Now Day 1 : Circle O, m ABC 42 o Find: m ADC Do Now Day 2 Name two valid statements and reasons: : Circle O, arc BA congruent to arc DE
Assignment. Riding a Ferris Wheel Introduction to Circles. 1. For each term, name all of the components of circle Y that are examples of the term.
ssignment ssignment for Lesson.1 Name Date Riding a Ferris Wheel Introduction to Circles 1. For each term, name all of the components of circle Y that are examples of the term. G R Y O T M a. Chord b.