10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference.

Size: px
Start display at page:

Download "10.1 circles and circumference 2017 ink.notebook. March 13, Page 91. Page 92. Page 90. Ch 10 Circles Circles and Circumference."

Transcription

1 Page 90 Page 91 Page 92 Ch 10 Circles 10.1 Circles and Circumference Lesson Objectives Page 93 Standards Lesson Notes Page Circles and Circumference Press the tabs to view details. 1

2 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards Lesson Notes After this lesson, you should be able to successfully identify and use parts of circles. You should also be able to find the circumference of a circle. G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc. G.C.2 Identify and describe relationships among inscribed angles, radii, and chords. Press the tabs to view details. Circle Set of all points in a plane equidistant from a fixed point Chord A segment whose endpoints lie on the circle G F Radius A Segment whose endpoints are the center of a circle and a point on the circle Diameter Any chord that contains the center of the circle H E D C L J K Secant A line that contains a chord Tangent A line in a plane of a circle that intersects the circle in EXACTLY one point A circle consists of all points in a plane that are a given distance, called the radius, from a given point called the center. A segment or line can intersect a circle in several ways. A segment with endpoints that are at the center and on the circle is a. A segment with endpoints on the circle is a. A chord that passes through the circle's center and made up of collinear radii is a. 2

3 Radius Diameter d = 2r r =1 2d EXAMPLE Name the circle: A B E F Name all the: Chords: Radii: D C Diameters: The circumference of a circle is the distance around the circle. For a circumference of C units and a diameter of d units or a radius or r units, C = 2¹ r STOP! C = d¹ Use 3.14 for ¹ 1. Find the circumference of the circle to the nearest hundredth. 13 cm 3

4 Finding the diameter and radius from the circumference: 1) 2) 3) 4) Divide circumference by 3.14 Your answer is the diameter Divide the diameter by 2 Your answer is the radius Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth. 2. C = 40 in When finding the exact circumference, do NOT type pi or 3.14 into the calculator. Your answer will be in terms of pi, for instance 5¹. Find the exact circumference of each circle using the given inscribed or circumscribed polygon cm 11 yd 12 cm 4

5 1. Name the circle. 2. Name radii of the circle. O A 3. Name chords of the circle C B D 4. Name the circle. A X 5. Name radii of the circle. 6. Name chords of the circle. 7. Name diameters of the circle. R Y B 8. If AB = 18 mm, find AR. 5

6 9. If RY = 10 in, find AR and AB. A X R Y B Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth. 11. C = 256 ft 12. C = m 6

7 Find the exact circumference of each circle using the given inscribed or circumscribed polygon. Find the exact circumference of each circle using the given inscribed or circumscribed polygon cm 3 mm 7 mm 6 cm 9 in 16. WHEELS Zack is designing wheels for a concept car. The diameter of the wheel is 18 inches. Zack wants to make spokes in the wheel that run from the center of the wheel to the rim. In other words, each spoke is a radius of the wheel. How long are these spokes? 7

8 17. SEWING Ms. Singer is going to put lace around the edge of the round tablecloth she just finished making. If the tablecloth has a diameter of 12 ft. How much lace will she need? 18. CAKE CUTTING Kathy slices through a circular cake. The cake has a diameter of 14 inches. The slice that Kathy made is straight and has a length of 11 inches. Did Kathy cut along a radius, a diameter, or a chord of the circle? On the Worksheet 8

9 HOMEWORK 10.1 Practice WS on Circles and Circumference For Exercises 1 7, refer to ÀP. 1. Name the circle. 2. Name a radius. 3. Name a chord. 4. Name a diameter. 5. Name a radius not drawn as part of a diameter. 6. Suppose the diameter of the circle is 16 cm. Find the radius. C A D P B E 7. If PC = 11 in, find AB. The diameters of ÀF and ÀG are 5 and 6 units, respectively. Find each measure. Find the diameter and radius of a circle with the given circumference. Round to the nearest hundredth. 10. C = 36 m 11. C = 17.2 ft 12. C = 5 yd 8. BF 9. AB 9

10 Find the exact circumference of each circle using the given inscribed or circumscribed polygon Find the exact circumference of each circle using the given inscribed or circumscribed polygon Find the exact circumference of each circle using the given inscribed or circumscribed polygon SUNDIALS Herman purchased a sundial to use as the centerpiece for a garden. The diameter of the sundial is 9.5 inches. a) Find the radius of the sundial. b) Find the circumference of the sundial to the nearest hundredth. 10

11 20. COINS Three identical circular coins are lined up in a row as shown. The distance between the centers of the first and third coins is 3.2 centimeters. What is the radius of one of these coins? 21. PLAZAS A rectangular plaza has a surrounding circular fence. The diagonals of the rectangle pass from one point on the fence through the center of the circle to another point on the fence. Based on the information in the figure, what is the diameter of the fence? Round your answer to the nearest tenth of a foot. 22. EXERCISE HOOPS Taiga wants to make a circular loop that he can twirl around his body for exercise. He will use a tube that is 2.5 meters long. a) What will be the diameter of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter. Answers: b) What will be the radius of Taiga's exercise hoop? Round your answer to the nearest thousandth of a meter. 11

11.3 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

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

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

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

Geometry H Ch. 10 Test

Geometry H Ch. 10 est 1. In the diagram, point is a point of tangency,, and. What is the radius of? M N J a. 76 c. 72 b. 70 d. 64 2. In the diagram, is tangent to at, is tangent to at,, and. Find the value

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

Regents 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

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

Mu Alpha Theta State 2007 Euclidean Circles

Mu Alpha Theta State 2007 Euclidean Circles 1. Joe had a bet with Mr. Federer saying that if Federer can solve the following problem in one minute, Joe would be his slave for a whole month. The problem

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.

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

2.1 The Rectangular Coordinate System

. The Rectangular Coordinate Sstem In this section ou will learn to: plot points in a rectangular coordinate sstem understand basic functions of the graphing calculator graph equations b generating a table

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. Parts of a Circle Class Work Use the diagram of the circle with center A to answer the following: Angles & Arcs Class Work

Circles Parts of a Circle Class Work Use the diagram of the circle with center A to answer the following: 1. Name the radii 2. Name the chord(s) 3. Name the diameter(s) 4. If AC= 7, what does TC=? 5. If

Geometry Final Exam Review

1. In the figures find the missing parts. Geometry Final Eam Review 2. In the figures find the missing parts. 3. Tom is trying to put a divider diagonally to separate his animals and his play area. If

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.

May 05, surface area and volume of spheres ink.notebook. Page 171. Page Surface Area and Volume of Spheres.

12.6 surface area and volume of spheres ink.notebook Page 171 Page 172 12.6 Surface Area and Volume of Spheres Page 173 Page 174 Page 175 1 Lesson Objectives Standards Lesson Notes Lesson Objectives Standards

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

Lesson 9. Exit Ticket Sample Solutions ( )= ( ) The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79

Exit Ticket Sample Solutions 1. Find the arc length of. ( )= ()() ( )=. ( ) = The arc length of is (. ) or.. Homework Problem Set Sample Solutions S.79 1. and are points on the circle of radius, and the

Customary Units of Measurement

Customary Units of Measurement What would it be like to have no system of measurement? If we are to measure something, we need a unit of measure. standard unit of measure: one that people have agreed to

Understand 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,

A 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

11.2 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

Pi: The Ultimate Ratio

Pi: The Ultimate Ratio Exploring the Ratio of Circle Circumference to Diameter 1 WARM UP Scale up or down to determine an equivalent ratio. 1. 18 miles 3 hours 5? 1 hour 2. \$750 4 days 3. 4. 12 in. 1 ft

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

( ) = 28. 2r = d 2 = = r d = r. 2 = r or 1. Free Pre-Algebra Lesson 33! page 1. Lesson 33 Formulas for Circles

Free Pre-Algebra Lesson 33! page 1 Lesson 33 Formulas for Circles What is a Circle? Everyone knows what a circle looks like. A sprinkler line rotates around a center pivot, forming circles of irrigated

MATH-G Circles Task Cards Exam not valid for Paper Pencil Test Sessions

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

10-1 Study Guide and Intervention

opyright Glencoe/McGraw-Hill, a division of he McGraw-Hill ompanies, Inc. NM I 10-1 tudy Guide and Intervention ircles and ircumference arts of ircles circle consists of all points in a plane that are

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

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

How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots

. Approximating Square Roots How can you find decimal approximations of square roots that are not rational? ACTIVITY: Approximating Square Roots Work with a partner. Archimedes was a Greek mathematician,

Replacement for a Carpenter s Square

Lesson.1 Skills Practice Name Date Replacement for a arpenter s Square Inscribed and ircumscribed Triangles and Quadrilaterals Vocabulary nswer each question. 1. How are inscribed polygons and circumscribed

EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE

1 EXPLAINING AREA AND CIRCUMFERENCE OF A CIRCLE INSTRUCTIONAL ACTIVITY Lesson 1 LEARNING GOAL Students will develop an understanding of diameter, radius, circumference, and pi and the relationships among

radii: AP, PR, PB diameter: AB chords: AB, CD, AF secant: AG or AG tangent: semicircles: ACB, ARB minor arcs: AC, AR, RD, BC,

h 6 Note Sheets L Shortened Key Note Sheets hapter 6: iscovering and roving ircle roperties eview: ircles Vocabulary If you are having problems recalling the vocabulary, look back at your notes for Lesson

( ) Find the value of x mhg. H x G. Find m AXB and m Y A D X 56. Baroody Page 1 of 18

1. ( ) Find the value of x mhg 30 F 80 H x G E 2. Find m X and m Y 120 X 56 Y aroody age 1 of 18 3. Find mq X 70 30 Y Q 4. Find the radius of a circle in which a 48 cm. chord is 8 cm closer to the center

Classwork. Opening Exercises 1 2. Note: Figures not drawn to scale. 1. Determine the volume for each figure below.

Classwork Opening Exercises 1 2 Note: Figures not drawn to scale. 1. Determine the volume for each figure below. a. Write an expression that shows volume in terms of the area of the base,, and the height

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

Name. Chapter 12: Circles

Name Chapter 12: Circles Chapter 12 Calendar Sun Mon Tue Wed Thu Fri Sat May 13 12.1 (Friday) 14 Chapter 10/11 Assessment 15 12.2 12.1 11W Due 16 12.3 12.2 HW Due 17 12.1-123 Review 12.3 HW Due 18 12.1-123

Circles and Volume. Circle Theorems. Essential Questions. Module Minute. Key Words. What To Expect. Analytical Geometry Circles and Volume

Analytical Geometry Circles and Volume Circles and Volume There is something so special about a circle. It is a very efficient shape. There is no beginning, no end. Every point on the edge is the same

Circles and Circumference

Practice A Circles and Circumference Point G is the center of the circle. Use it to answer each question. 1. Name the circle. 2. Name the diameter. 3. Name three radii. Find each missing value to the nearest

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

WARM 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

Real-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.

Introduction Circle Some terms related with a circle

141 ircle Introduction In our day-to-day life, we come across many objects which are round in shape, such as dials of many clocks, wheels of a vehicle, bangles, key rings, coins of denomination ` 1, `

Assignment 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

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:

BLoCK 4 ~ ratios, rates And PerCents

BLoCK 4 ~ ratios, rates And PerCents circles and similarity Lesson 20 ParTs of circles ------------------------------------------------------ 114 Explore! What Is It? Lesson 21 circumference of a circle

KEY 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

Meet #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,

Geo - CH11 Practice Test

Geo - H11 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Identify the secant that intersects ñ. a. c. b. l d. 2. satellite rotates 50 miles

b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals Converse d) Opposite sides Parallel and Congruent Theorem

Chapter 7 1. State which theorem you can use to show that the quadrilateral is a parallelogram. a) Parallelogram Opposite Angles Converse b) Parallelogram Opposite Sides Converse c) Parallelogram Diagonals

Geometry 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

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

Geometric Formulas (page 474) Name

LESSON 91 Geometric Formulas (page 474) Name Figure Perimeter Area Square P = 4s A = s 2 Rectangle P = 2I + 2w A = Iw Parallelogram P = 2b + 2s A = bh Triangle P = s 1 + s 2 + s 3 A = 1_ 2 bh Teacher Note:

Park 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:

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

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.

Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? A. (1,10) B. (2,7) C. (3,5) D. (4,3) E.

April 9, 01 Standards: MM1Ga, MM1G1b Practice Test Geometry 1. Which of the following points is the greatest distance from the y-axis? (1,10) B. (,7) C. (,) (,) (,1). Points P, Q, R, and S lie on a line

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

16.2 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

In 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

Liberal High School Lesson Plans

Monday, 5/8/2017 Liberal High School Lesson Plans er:david A. Hoffman Class:Algebra III 5/8/2017 To 5/12/2017 Students will perform math operationsto solve rational expressions and find the domain. How

Math Self-Test Version Form A Measurement and Geometry

Math Self-Test Version 0.1.1 Form A Measurement and Geometry Draw each object and describe the key characteristics that define the object. [3 pts. each] 1) Acute Triangle 2) Arc 3) Chord 4) Cube 5) Cylinder

Circles 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.

Circle - Circumference

Name : Score : Circle - Circumference Example : Circumference of a circle = 2πr or πd 8.53 m Diameter (d) = 8.53 m πd = 3.14 x 8.53 26.78 m Find the circumference of each circle. Round the answer to two

February 29 th March 4 th

February 29 th March 4 th Unit 7: Introduction to Functions Jump Start Table A: Bags of candy ( ) Cost ( ) 1 2 3 4 5 6 7 8 \$1.25 \$2.50 \$3.75 \$5.00 \$6.25 \$7.50 \$8.75 \$10.00 Table B: Number of seconds (

2016 State Mathematics Contest Geometry Test

2016 State Mathematics Contest Geometry Test In each of the following, choose the BEST answer and record your choice on the answer sheet provided. To ensure correct scoring, be sure to make all erasures

11.4 Circumference and Arc Length

11.4 ircumference and rc Length Goal p Find arc lengths and other measures. Your Notes VOULRY ircumference rc length THEOREM 11.8: IRUMFERENE OF IRLE The circumference of a circle is r 5 or 5, where d

Geometry Final Exam REVIEW

Name: Class: _ Date: _ Geometry Final Exam 09-10 - REVIEW Multiple Choice Identify the choice that best completes the statement or answers the question. 1. Find the perimeter and area of the parallelogram.

221 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

Name Score Period Date. m = 2. Find the geometric mean of the two numbers. Copy and complete the statement.

Chapter 6 Review Geometry Name Score Period Date Solve the proportion. 3 5 1. = m 1 3m 4 m = 2. 12 n = n 3 n = Find the geometric mean of the two numbers. Copy and complete the statement. 7 x 7? 3. 12

Finding a Percent of a Number (page 216)

LESSON Name 1 Finding a Percent of a Number (page 216) You already know how to change a percent to a fraction. Rewrite the percent as a fraction with a denominator of 100 and reduce. 25% = 25 100 = 1 5%

Chapter 12 Practice Test

hapter 12 Practice Test Multiple hoice Identify the choice that best completes the statement or answers the question. ssume that lines that appear to be tangent are tangent. is the center of the circle.

11. 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

Chapter 5: Measurement of Circles

Chapter 5: Measurement of Circles Getting Started, p. 151 1. a) Perimeter, since the word around is used. b) Area, since since the word wrap is used. c) Perimeter, since the word wrap is used. 2. a) 5

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

Ready To Go On? Skills Intervention 11-1 Lines That Intersect Circles

Name ate lass STION 11 Ready To Go On? Skills Intervention 11-1 Lines That Intersect ircles ind these vocabulary words in Lesson 11-1 and the Multilingual Glossary. Vocabulary interior of a circle exterior

Geometry 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

Chords and Arcs. Objectives To use congruent chords, arcs, and central angles To use perpendicular bisectors to chords

- hords and rcs ommon ore State Standards G-.. Identify and describe relationships among inscribed angles, radii, and chords. M, M bjectives To use congruent chords, arcs, and central angles To use perpendicular

Lesson 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

Lesson 12.1 Skills Practice

Lesson 12.1 Skills Practice Introduction to ircles ircle, Radius, and iameter Vocabulary efine each term in your own words. 1. circle circle is a collection of points on the same plane equidistant from

Name Period Date. GEO2.2: Area of Circles Derive the area formula for circles. Solve application problems that involve areas of circles.

Name Period Date GEOMETRY AND MEASUREMENT Student Pages for Packet 2: Circles GEO2.1 Circumference Use multiple representations to explore the relationship between the diameter and the circumference of

For Exercises 1 4, identify the part of the circle drawn in red as its circumference, diameter, or radius. Then, measure that part in centimeters.

A C E Applications Connections Extensions Applications For Exercises 1 4, identify the part of the circle drawn in red as its circumference, diameter, or radius. Then, measure that part in centimeters.

More Differentiation Page 1

More Differentiation Page 1 Directions: Solve the following problems using the available space for scratchwork. Indicate your answers on the front page. Do not spend too much time on any one problem. Note:

Unit 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.

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

Homework # Physics 2 for Students of Mechanical Engineering. Part A

Homework #9 203-1-1721 Physics 2 for Students of Mechanical Engineering Part A 5. A 25-kV electron gun in a TV tube fires an electron beam having a diameter of 0.22 mm at the screen. The spot on the screen

+ 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

Lesson 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

Ex 1: If a linear function satisfies the conditions of h( 3) = 1 and h(3) = 2, find h(x).

In lesson 1, the definition of a linear function was given. A linear function is a function of the form f(x) = ax + b, where a is the slope of the line and (0, b) is the y-intercept. A linear function

Extra Test Review. 3. Use the following graph to find the area of a rectangle with vertices of ( 2, 4), ( 2, 4), (1, 4), and (1, 4).

Name: Date: 1. The sides of the outer square are about 14 inches. The sides of the inner square about 10 inches. What is a logical estimate for the circumference of the circle? 3. Use the following graph

Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides.

Mth101 Chapter 8 HW Name Find the perimeter of the figure named and shown. Express the perimeter in the same unit of measure that appears on the given side or sides. 1) 1) Rectangle 6 in. 12 in. 12 in.

Chapter 8. Chapter 8 Opener. Section 8.1. Big Ideas Math Red Accelerated Worked-Out Solutions 4 7 = = 4 49 = = 39 = = 3 81 = 243

Chapter 8 Opener Try It Yourself (p. 35). trapezoids. circles Large Perimeter Diameter Small Perimeter Diameter Average of Ratios 3. trapezoid, triangle. triangles 5. rectangle, triangle 6. rectangle,

Unit 3, Lesson 1: How Well Can You Measure?

Unit 3, Lesson 1: How Well Can You Measure? Let s see how accurately we can measure. 1.1: Estimating a Percentage A student got 16 out of 21 questions correct on a quiz. Use mental estimation to answer

What is the longest chord?.

Section: 7-6 Topic: ircles and rcs Standard: 7 & 21 ircle Naming a ircle Name: lass: Geometry 1 Period: Date: In a plane, a circle is equidistant from a given point called the. circle is named by its.

Ohio s State Tests ITEM RELEASE SPRING 2018 GEOMETRY

Ohio s State Tests ITEM RELEASE SPRING 2018 GEOMETRY Table of Contents Content Summary and Answer Key... iii Question 4: Question and Scoring Guidelines... 1 Question 4: Sample Response... 4 Question 8:

Surface Areas of Prisms and Cylinders. Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary.

12-2 Skills Practice Surface Areas of Prisms and Cylinders Find the lateral area and surface area of each prism. Round to the nearest tenth if necessary. 12 yd 6 m 12 yd 10 yd 8 m 12 m 3. 4. 6 in. 8 in.

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