Radian Measure

Question 1

What is –36° converted to radians?

Revolt · Accepted Answer

Negative StartFraction pi Over 5 EndFraction

Question 2

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 3

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 4

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

Revolt · Accepted Answer

229°

Question 5

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

Revolt · Accepted Answer

, 60°, , , 255°

Question 6

Which expression converts 45° to radians?

Revolt · Accepted Answer

45 degrees times StartFraction pi Over 180 degrees EndFraction

Question 7

Which expression converts 8 radians to degrees?

Revolt · Accepted Answer

8 times StartFraction 180 degrees Over pi EndFraction

Question 8

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 .

Revolt · Accepted Answer

15 cm

Question 9

Which expression converts radians to degrees?

Revolt · Accepted Answer

StartFraction pi Over 4 EndFraction times StartFraction 180 degrees Over pi EndFraction

Question 10

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 .

Revolt · Accepted Answer

19.1 in.

Radian Measure Answers

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