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4. pentagon, a = 24.3 cm, s = 35.3 cm %3D %3D

4. pentagon, a = 24.3 cm, s = 35.3 cm %3D %3D

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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exercises, see Extra Skill, Word Problem, and Proof Practice. Practice and Problem Solving A Practice by Example Each regular polygon has radii and apothem as shown. Find the measure of each numbered angle. Example 1 (page 546) m27 = 60; mZ8 = 30; 1. 2. for GO Help 3. 4. 6' 31 9 m21 = 120; m22 = 60; m23 = 30 m24 = 90; m25 = 45; mZ6 = 45 Find the area of each regular polygon with the given apothem a and side length s. Example 2 (page 547) 4. pentagon, a = 24.3 cm, s = 35.3 cm 2144.475 cm2 6. octagon, a = 60.4 in., s 50 in. 12,080 in.2 8. decagon, a = 19 m, s = 12.3 m 1168.5 m2 5. 7-gon, a = 29.1 ft, s = 28 ft 2851.8 ft2 7. nonagon, a = 27.5 in., s = 20 in. 2475 in.2 9. dodecagon, a = 26.1 cm, s = 14 cm 2192.4 cm? Example 3 (page 547) Find the area of each regular polygon. Round your answer to the nearest tenth. 10. 11. 12. 18 ft 8 in. 6 m 841.8 ft? 13. Art The smaller triangles in the Minneapolis sculpture at the left are equilateral. Each has a 12.7-in. radius. What is the area of each to the nearest square inch? 27.7 in.2 93.5 m2 30 210 in.2 12.7 in. Find the area of each regular polygon with the given radius or apothem. If your answer is not an integer, leave it in simplest radical form. 14. 15.
Transcribed Image Text:exercises, see Extra Skill, Word Problem, and Proof Practice. Practice and Problem Solving A Practice by Example Each regular polygon has radii and apothem as shown. Find the measure of each numbered angle. Example 1 (page 546) m27 = 60; mZ8 = 30; 1. 2. for GO Help 3. 4. 6' 31 9 m21 = 120; m22 = 60; m23 = 30 m24 = 90; m25 = 45; mZ6 = 45 Find the area of each regular polygon with the given apothem a and side length s. Example 2 (page 547) 4. pentagon, a = 24.3 cm, s = 35.3 cm 2144.475 cm2 6. octagon, a = 60.4 in., s 50 in. 12,080 in.2 8. decagon, a = 19 m, s = 12.3 m 1168.5 m2 5. 7-gon, a = 29.1 ft, s = 28 ft 2851.8 ft2 7. nonagon, a = 27.5 in., s = 20 in. 2475 in.2 9. dodecagon, a = 26.1 cm, s = 14 cm 2192.4 cm? Example 3 (page 547) Find the area of each regular polygon. Round your answer to the nearest tenth. 10. 11. 12. 18 ft 8 in. 6 m 841.8 ft? 13. Art The smaller triangles in the Minneapolis sculpture at the left are equilateral. Each has a 12.7-in. radius. What is the area of each to the nearest square inch? 27.7 in.2 93.5 m2 30 210 in.2 12.7 in. Find the area of each regular polygon with the given radius or apothem. If your answer is not an integer, leave it in simplest radical form. 14. 15.
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