A circle is the set of points that are equidistant from a special point in the called the.


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1 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 among the radius, diameter, center, and circumference (e.g. radius is half the diameter) of a circle. Model and develop the concept that pi is the ratio of the circumference to the diameter of any circle. Subtopic A circle is the set of points that are equidistant from a special point in the called the. A radius is a line segment that connects the of the circle to any point on the circle. A is a line segment that connects two points on a circle. A diameter is a that connects two points on the circle and passes through the of the circle. The length of a is twice the length of a radius. Identify the radii, the diameter, and the chords shown in Circle T. R T X B 27 Module 9 Lesson 3 Lesson Notes
2 B 2 Identify the radii, the diameters, and the chords shown in circle E. B A E D C 3 The diameter of a circle is 30 feet. Find the radius. 4 Tell whether each statement is always true, sometimes true, or never true. A radius is a chord. A diameter is a chord. A chord is a diameter. Subtopic 2 Circumference The of a circle is the distance around the circle. is the ratio of the circumference of any circle to its. Pi () number Approximately or 22 7 Module 9 Lesson 3 28 Lesson Notes
3 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes 5 The diameter of a bike wheel is 28 inches. What is the circumference? Round to the nearest inch. C d C C The circumference of the bike wheel is about 88 inches. 6 The diameter of a manhole cover is 2 ft. What is the circumference? 2 C d C C = The circumference of the manhole cover is about feet. Module 9 Lesson 3 29 Lesson Notes
4 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Guided Practice 9.3 Set Identify the radii, the diameter, and the chords shown in Circle N. Radii: NM, NR, NQ M Q Diameter: QR Chords: QR, VS R V N S 2 Identify the radii, the diameter, and the chords shown in Circle W. Radii: WY Chords: VY andwz and VZ Y Z X W V 3 The diameter of a compact disc is 20 millimeters. Find the length of the radius. d =2r 20 = 2r 20 2 = r 20 2 = 60 The radius of the compact disc is 60 mm. Module 9 Lesson 3 30 Guided Practice
5 4 Tell whether each statement is always true, sometimes true, or never true. Chords in the same circle are congruent. Sometimes A diameter passes through the center of a circle. Always Set 2 The diameter of a coin is 35 mm. What is the circumference? Round to the nearest millimeter. C d C C 09.9 The coin s circumference is about 0 mm. 2 The radius of the lens of a magnifying glass is 38 millimeters. What is the circumference? Round to the nearest millimeter. C d C C The circumference is about 239 mm. 3 The radius of a circle is inch. 6 4 inches. What is the circumference? Round to the nearest d 2r d C d 22 C The circumference of the circle is about 39 inches. Module 9 Lesson 3 3 Guided Practice
6 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Challenge Problems 9.3 Set Use a calculator to find the value of 22 to six decimal places. Using the key on a 7 calculator, find the value of rounded to six decimal places. Then, order 22 7,, and 3.4 from least to greatest. 2 Explain how to estimate the diameter of a tree trunk if its circumference is 60 inches. 3 Determine if this statement is true or false and explain: If the diameter of a circle is doubled, then the circumference is doubled. Module 9 Lesson 3 32 Challenge Problems
7 Additional Work Area Module 9 Lesson 3 33 Challenge Problems
8 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Independent Practice 9.3 Identify the radii, diameters, and chords shown in each circle.. Circle O B C 2. Circle C T X Y G O F D R C U Radii: OG, OB, OF Diameter: BF Chords: CD, BF Radii: none Diameters: none Chords: RY and TU The length of a radius, r,ordiameter,d, is given. Find the missing measure. 3. d =6m 4. r = 4 ft r =? d =? r = 30.5 m d = 2 ft In each circle, either a radius or diameter is shown. Find the circumference. Round to the nearest inch in. 200 in. About 94 inches About 628 inches 34 Module 9 Lesson 3 Independent Practice
9 Tell whether each statement is always true, sometimes true, or never true. 7. A chord is a radius. Never true 8. Diameters in the same circle are congruent. Always true 9. Chords pass through the center of a circle. Sometimes true 0. A merrygoround is 630 inches in diameter. Use 22 7 circumference of the merrygoround. for to approximate the About,980 inches.. The diameter of a large pizza is 6 inches. To the nearest inch, what is the circumference of the pizza? About 50 inches 2. The circumference of a bowl is about 66 centimeters. To the nearest centimeter, what is the diameter of the bowl? About 2 centimeters 35 Module 9 Lesson 3 Independent Practice
10 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Use the circle below for problems Draw and label the center point P. 4. Draw and label diameters JT and AM. 5. Draw and label chord HK so that it is not a diameter. 6. Name all the radii shown in circle P. Journal. Tell how chords and diameters are alike. Tell how they are different. 2. Describe the relationship between a radius and diameter of the same circle. How can youfindoneifyouaregiventheother? 3. Explain what pi represents in a circle. Give two approximations for pi. Then, explain which approximation would be most appropriate for estimating the circumference of a circle with a diameter of 0 feet and which would be most appropriate for estimating a circle with a diameter of 4 feet. Cumulative Review Use the diagram on the right for Problems 6. A T. What point is coplanar with points M, A, ande? M E H L Point S S P 2. Describe MA and HT as parallel, perpendicular, or neither. Parallel 36 Module 9 Lesson 3 Independent Practice
11 3. Describe EL and HP as parallel, perpendicular, or neither. Neither A T 4. Describe HP and PL as parallel, perpendicular, or neither. M E H L Perpendicular S P 5. Classify PSL. Acute 6. The opposite sides of parallelogram PSEL are congruent. Tell why PLS ESL. SSS Congruence Tell if each figure is a polygon. If so, classify it by its number of sides and tell if it is concave or convex Concave pentagon Not a polygon Convex octagon Not a polygon 37 Module 9 Lesson 3 Independent Practice
12 Additional Work Area 38 Module 9 Lesson 3 Independent Practice
13 NAME Module 9 Lesson 3 Characteristics of Geometric Shapes Additional Practice 9.3 Use the circle at right for questions 6. Point Q is the center of the circle.. Name the circle. A B Circle Q 2. Name all the chords shown in the circle. Q AD and BC 3. Name all the diameters shown in the circle. F AD E D C 4. Name all the radii shown in the circle. QA, QF, QE, and QD 5. Classify FQE by its sides. Explain why it is classified in this way. Isosceles: QF and QE are radii, and all radii in the same circle are congruent. An isosceles triangle has at least two congruent sides. 6. Find the length of AD if EQ =6.5cm. AD =3cm Find the circumference of each circle. Round to the nearest tenth mm About 50.2 mm 42 in. About 3.9 inches 39 Module 9 Lesson 3 Additional Practice
14 9. The circumference of a circular rug is about 57 inches. To the nearest inch, what is the radius of the rug? The radius of the rug is about nine inches. 0. The two circles on the right have the same center point. The diameter of the smaller circle is seven meters, and AB is 0 meters long. Find the circumference of the larger circle. Round to the nearest meter. The circumference of the larger circle is about 85 meters. A B 40 Module 9 Lesson 3 Additional Practice
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