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The area of a regular polygon is 36 in.2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. a. 3 9.1 in. b. 4 6 in. c. 6 3.7 in. d. Estimation Suppose the polygon is a pentagon. What would you expect the length of its side to be? Explain. See left.

The area of a regular polygon is 36 in.2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. a. 3 9.1 in. b. 4 6 in. c. 6 3.7 in. d. Estimation Suppose the polygon is a pentagon. What would you expect the length of its side to be? Explain. See left.

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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25. This one has sub parts; a, b, c, d - please show the steps
is 8 ft long, and its apothem is 9.7 ft. What is the area enclosed PowerPoin by the gazebo?D 38.8 ft2 ® 77.6 ft2 Use the 232.8 ft2 DD 310.4 ft² decago wvary. ut 4 h of a tagon tween in. 25. The area of a regular polygon is 36 in.2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. a. 3 9.1 in. b. 4 6 in. c. 6 3.7 in. d. Estimation Suppose the polygon is a pentagon. What would you expect the length of its side to be? Explain. See left. 1. Finc 2. Finc 3. Find GPS 26. A portion of a regular decagon has radii and an apothem drawn. Find the measure of each numbered angle, m1 36; mL2 = 18; 4. Fine 9-si 121 apc 302 m23 = 72 a is rt. A us is use. 27. Writing Explain why the radius of a regular polygon is greater than the apothem. See left. For Ex area o 28. Constructions Use a compass to construct a circle. 28a-c. See margin. a. Construct four perpendicular radii of the circle. b. Construct radii that bisect each of the four right angles. c. Connect the consecutive points where the radii intersect the circle. What regular polygon have you constructed? regular octagon d. Critical Thinking How can a circle help you construct a regular hexagon? Leave radica 5.
Transcribed Image Text:is 8 ft long, and its apothem is 9.7 ft. What is the area enclosed PowerPoin by the gazebo?D 38.8 ft2 ® 77.6 ft2 Use the 232.8 ft2 DD 310.4 ft² decago wvary. ut 4 h of a tagon tween in. 25. The area of a regular polygon is 36 in.2. Find the length of a side if the polygon has the given number of sides. Round your answer to the nearest tenth. a. 3 9.1 in. b. 4 6 in. c. 6 3.7 in. d. Estimation Suppose the polygon is a pentagon. What would you expect the length of its side to be? Explain. See left. 1. Finc 2. Finc 3. Find GPS 26. A portion of a regular decagon has radii and an apothem drawn. Find the measure of each numbered angle, m1 36; mL2 = 18; 4. Fine 9-si 121 apc 302 m23 = 72 a is rt. A us is use. 27. Writing Explain why the radius of a regular polygon is greater than the apothem. See left. For Ex area o 28. Constructions Use a compass to construct a circle. 28a-c. See margin. a. Construct four perpendicular radii of the circle. b. Construct radii that bisect each of the four right angles. c. Connect the consecutive points where the radii intersect the circle. What regular polygon have you constructed? regular octagon d. Critical Thinking How can a circle help you construct a regular hexagon? Leave radica 5.
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