CPREP - Chapter 8 Packet Answers 8.1 Warm Up For use before Activity 8.1 1. 24 m 2. 40 cm 3. 36 yd 9. yes; The diameter of each of the small circles in diagram B is 2 feet. Because there are 5 circles along each side of the square, the length of each side is 5 2 10 feet. 4. 120 ft 10.about 9.6 times 5. 16 in. 6. 60 mm 8.1 Start Thinking! For use before Lesson 8.1 Sample answer: The circumference of a tree trunk is easier to measure. Unless the tree is cut down, you do not have access to the circular cross section in order to measure the diameter. The diameter of a quarter is easier to measure. You only need a ruler to measure across the quarter. In general, it is usually easier to measure the diameter of a circular object. The circumference is easier to measure only when you cannot access the diameter to measure it. 8.1 Puzzle Time HE HAD TOO MUCH TIME ON HIS HANDS 8.1 Warm Up For use before Lesson 8.1 1. about 37.68 in. 2. about 12.56 ft 8.2 Warm Up For use before Activity 8.2 1. 16 cm 2. 17 ft 3. 52 in. 3. about 22 cm 4. about 62.8 ft 4. 25 m 5. about 44 mm 6. about 3.14 in. 8.2 Start Thinking! For use before Lesson 8.2 Sample answer: yes; It is made up of a rectangle and two semicircles. Some examples: windows (rectangle and semicircle), some company and organization logos, a first place ribbon (circle and rectangles), some flowers 8.1 Practice A 1. 30 ft 2. 4 m 3. 32 mm 4. 5 cm 6. 3.5 yd 5. 12 in. 7. about 53.38 m 8. about 18.84 ft 9. about 88 in. 10. about 56.54 mm 11.about 20.56 in. 12. about 25.7 yd 13.a.8 mm; 24 mm b. 3 times greater 14. $131.56 15. about 5.14 ft 8.1 Practice B 1. about 81.64 m 2. about 37.68 ft 3. about 264 in. 4. about 72 yd 5. about 31.05 ft 6. about 28.27 cm 7. Circle 8.2 Start Thinking! For use before Activity 8.2 Sample answer: To find the perimeter of an irregular shape, you can add all of the different straight sections (or circular sections). To find a distance on a map, assuming that the route traveled is not along a straight line, you must add all of the straight sections to estimate the total distance. 5. about 56.52 in. 6. about 62.8 ft 8.2 Warm Up For use before Lesson 8.2 1. 24 units 2. 24 units 3. about 15 units 4. about 13.71 units 5. about 20.5 units 6. about 22.28 units 8.2 Practice A 1. about 24 in. 2. about 28 in. 3. about 21.42 in. 4. 34 yd 5. 24 in. 6. 60 mm 7. 31 m 8. 24 ft 9. 64 cm A B C D 10.about 23.42 ft Radius 2.5 ft 1 ft 32 ft 3.5 ft Diameter 60 in. 24 in. 768 in. 84 in. 8.2 Puzzle Time LIBRARY 8. about 9.42 in. 11. $3685.90 CPREP - Chapter 8 Packet Answers 8.3 Start Thinking! For use before Activity 8.3 Sample answer: 1. You can divide it into several triangles each with a vertex at the center of the circle. 2. You can put it on grid paper and estimate the number of squares that are covered. 3. You can divide it into tall, narrow rectangles. 8.3 Warm Up For use before Activity 8.3 8.3 Puzzle Time HAMWORK 8.4 Start Thinking! For use before Activity 8.4 Answers will vary. Sample answer: If you are planning on painting a room, you will need to calculate the area of each section of wall to figure out how much paint to buy. The windows and doorways make some walls composite figures. 1. 63 in.2 2. 14 m 2 3. 66 yd 2 8.4 Warm Up 1. 100 ft 2 2. 256 in.2 4. 50 cm2 5. 22.4 m2 6. 1 mm 2 3. 150 m2 4. 30 cm2 5. about 314 ft 2 6. about 7850 yd 2 8.3 Start Thinking! For use before Lesson 8.3 Sample answer: It is easier to use 22 7 if the radius is a multiple of 7. It is easier to use 3.14 in all other instances. 8.3 Warm Up For use before Lesson 8.3 1. about 50.24 in.2 2. about 154 ft 2 3. about 3.14 cm2 8.4 Start Thinking! For use before Lesson 8.4 Check students’ drawings and calculations. 8.4 Warm Up For use before Lesson 8.4 1. 21 units2 2. 20 units2 3. 12 units2 4. about 12.53 units2 5. 18 units2 6. about 17.72 units2 8.3 Practice A 1. about 78.5 m2 2. about 7850 mm 8.4 Practice A 1. 30 units2 2. 33 units2 3. about 1256 in.2 4. about 38.5 ft 2 4. 48 in.2 5. about 178.5 mm2 5. about 1386 mm2 6. about 3850 cm2 6. 402 ft 2 7. 210 cm2 7. about 50.24 ft 2 8. about 15,400 cm2 8. 60 yd 2 9. 40 m2 9. about 113.04 in.2 11. 99 in.2 224 2 10. about 28.26 in.2 12. about 153.86 in.2 3. 16 units2 10.perimeter: about 37.85 ft; area: about 69.625 ft 2 11. a. 144 in.2 b. 72 in.2 c. $172.80 8.4 Puzzle Time DO WE WALK OR HOP ON A DO