AnswersOC27 GEO-1206310-S2-Degele-VOL7006PArea of Regular Polygons

Density and Design Problems Answers

12 verified answers
1
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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
2
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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
3

A regular decagon has a radius of 8 cm.What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

A
188 cm2
B
198 cm2
C
304 cm2
D
375 cm2
4

Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in.

Question illustration
A
2.50 in.
B
3.75 in.
C
5.00 in.
D
6.25 in.
5

A regular decagon has a radius of 8 cm.What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

A
188 cm2
B
198 cm2
C
304 cm2
D
375 cm2
6

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
7

A regular pentagon is shown.

Question illustration
A
2.9 cm
B
3.3 cm
C
4.9 cm
D
6.5 cm
8

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.
9

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
10

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
11

Manuel wants to buy a window shade to cover the window and frame shown. The window is in the shape of a regular octagon.The radius of the window, including the frame, is 2 ft, and the measure of each edge of the octagonal frame is 1.52 ft.

Question illustration
A
2 ft2
B
7 ft2
C
11.2 ft2
D
22.5 ft2
12

Fiona must find the length indicated by the dotted line for the tiles she is installing. She knows that each polygon is a regular hexagon with a perimeter of 7.5 in.

Question illustration
A
2.50 in.
B
3.75 in.
C
5.00 in.
D
6.25 in.
13

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
14

The area of the regular hexagon is 169.74 ft2.

Question illustration
A
24.2 ft
B
28.3 ft
C
48.5 ft
D
56.8 ft
15

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.
16

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
17

A square has an apothem measuring 2.5 cm and a perimeter of 20 cm.What is the area of the square, rounded to the nearest square centimeter?

A
13 cm2
B
25 cm2
C
50 cm2
D
100 cm2
18

Which statements about finding the area of the equilateral triangle are true? Select three options.

A
The apothem can be found using the Pythagorean theorem.
B
The apothem can be found using the tangent ratio.
C
The perimeter of the equilateral triangle is 15 cm.
D
The length of the apothem is approximately 2.5 cm.
E
The area of the equilateral triangle is approximately 65 cm2.
19

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
20

A regular pentagon is shown.

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

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