Radian Measure

Question 1

Which expression converts 45° to radians?

Revolt · Accepted Answer

45 degrees times StartFraction pi Over 180 degrees EndFraction

Question 2

What is 720° converted to radians?

Revolt · Accepted Answer

4 pi

Question 3

A circle has a central angle of 6 radians that intersects an arc of length 14 in. Which equation finds the length of the radius, r, of the circle?

Revolt · Accepted Answer

r = Fourteen-sixths

Question 4

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 .

Revolt · Accepted Answer

7.1 cm

Question 5

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

Revolt · Accepted Answer

6.3 in.

Question 6

Which of the following are in the correct order from least to greatest?

Revolt · Accepted Answer

, 60°, , , 255°

Question 7

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.?

Revolt · Accepted Answer

s = 4 times 3

Question 8

Which expression converts 8 radians to degrees?

Revolt · Accepted Answer

8 times StartFraction 180 degrees Over pi EndFraction

Question 9

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

Revolt · Accepted Answer

60°

Question 10

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

Revolt · Accepted Answer

229°

Radian Measure Answers

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