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
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
Problem 23E: The surface of a soccer ball is composed of 12 regular pentagons and 20 regular hexagons. With each...
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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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