Radian Measure

Which expression converts (pi/4) radians to degrees?

((pi/4) times (180 degrees/pi))

What is -36° converted to radians?

(-pi/5)

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?

r=14/6

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which equation gives the measure of the central angle, q?

theta=7/5

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

(3pi/10), 60 degrees, (pi/2), (2pi/3), 255 degres

A circle has a central angle measuring (7pi/10) 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 pi.

15 cm.

What is (5pi/6) radians converted to degrees?

150 degrees

A circle has a central angle measuring (3pi/4) 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 pi.

19.1 ft.

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

229 degrees

Which expression converts 45° to radians?

45 degrees times (pi/180 degrees)

What is 720° converted to radians?

4pi

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

6.3 in.

What is (pi/3) radians converted to degrees? If necessary, round your answer to the nearest degree.

60 degrees

How long is the arc intersected by a central angle of (pi/2) radians in a circle with a radius of 4.5 cm? Round your answer to the nearest tenth. Use 3.14 for pi.

7.1 cm

Which expression converts 8 radians to degrees?

8 times (180 degrees/pi)