AnswersFall 24 GMS Geometry Concepts and Connections BSolving for Angle Measures of Right Triangles

Area of Regular Polygons Answers

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A regular octagon has a radius of 6 ft and a side length of 4.6 ft.

Question illustration
A
71 ft2
B
101 ft2
C
110 ft2
D
202 ft2
2
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A regular hexagon has a radius of 20 in. What is the approximate area of the hexagon?

A
600 in.2
B
1,038 in.2
C
1,200 in.2
D
2,076 in.2
3

A regular pentagon has an apothem measuring 3 cm and a perimeter of 21.8 cm.

Question illustration
A
13.8 cm2
B
17.3 cm2
C
32.7 cm2
D
69.0 cm2
4

A regular pentagon is shown.

Question illustration
A
2.9 cm
B
3.3 cm
C
4.9 cm
D
6.5 cm
5

A regular octagon has an apothem measuring 10 in. and a perimeter of 66.3 in.

Question illustration
A
88 in.2
B
175 in.2
C
332 in.2
D
700 in.2
6

The base of the right triangle drawn in the regular octagon measures 0.7 cm.

Question illustration
A
11.2 cm
B
14.1 cm
C
15.2 cm
D
20.8 cm
7

The area of the regular octagon is approximately 54 cm2.

Question illustration
A
3.4 cm
B
4.8 cm
C
24 cm
D
27 cm
8

A community pool that is shaped like a regular pentagon needs a new cover for the winter months. The radius of the pool is 20.10 ft. The pool is 23.62 ft on each side.To the nearest square foot, what is the area of the pool that needs to be covered?

A
192 ft2
B
960 ft2
C
1,921 ft2
D
3,842 ft2
9

A regular hexagon is shown.

Question illustration
A
6 in.
B
10 in.
C
14 in.
D
24 in.
10

The area of the regular hexagon is 10.4 in.2.

Question illustration
A
1.3 in.
B
1.7 in.
C
2.0 in.
D
3.4 in.

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Area of Regular Polygons Answers — Fall 24 GMS…