Radian Measure Answers

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1
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Which expression converts radians to degrees?

Question illustration
A
StartFraction pi Over 4 EndFraction times 180 degrees
Option A
B
StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction
Option B
C
StartFraction pi Over 4 EndFraction times StartFraction Pi Over 180 degrees EndFraction
Option C
D
StartFraction pi Over 4 EndFraction times pi
Option D
2
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How long is the arc intersected by a central angle of radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
0.3 cm
B
0.7 cm
C
2.9 cm
D
7.1 cm
3

What is the approximate length of arc s on the circle below? Use 3.14 for . Round your answer to the nearest tenth.

Question illustration
A
5.6 in.
B
6.3 in.
C
14.3 in.
D
25.1 in.
4

A circle has a central angle measuring radians that intersects an arc of length 45 in. What is the length of the radius of the circle? Round your answer to the nearest tenth. Use 3.14 for .

Question illustration
A
2.4 in.
B
19.1 in.
C
105.6 in.
D
135.0 in.
5

What is 4 radians converted to degrees? If necessary, round your answer to the nearest degree.

A
13°
B
45°
C
229°
D
720°
6

Which expression converts 8 radians to degrees?

A
8 times pi
Option A
B
8 times StartFraction pi Over 180 degrees EndFraction
Option B
C
8 times 180 degrees
Option C
D
8 times StartFraction 180 degrees Over pi EndFraction
Option D
7

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
30°
B
45°
C
60°
D
90°
8

Which equation gives the length of an arc, s, intersected by a central angle of 3 radians in a circle with a radius of 4 in.?

A
s = three-fourths
Option A
B
s = four-thirds
Option B
C
s = 4 + 3
Option C
D
s = 4 times 3
Option D
9

A circle has a central angle measuring radians that intersects an arc of length 33 cm. What is the length of the radius of the circle? Round your answer to the nearest whole cm. Use 3.14 for .

Question illustration
A
11 cm
B
15 cm
C
22 cm
D
41 cm
10

What is radians converted to degrees? If necessary, round your answer to the nearest degree.

Question illustration
A
30°
B
90°
C
150°
D
900°

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