Free Printable Radian and Degrees

1.

What is 5π/6 radians in degrees?

a)

180

b)

150

c)

360

d)

120

2.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

3.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

4.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

5.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

6.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

7.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

8.

If you split a circle into 6 equal parts, how many radians will each section be?

a)

π/3 radians

b)

π/6 radians

c)

π/60 radians

d)

π/12 radians

9.

Match the following radian measure and degree measures.

a)

1 radian

1.

≈57.3˚

b)

$\frac{\pi}{3}$

2.

60˚

c)

$\frac{\pi}{5}$

3.

36˚

d)

$\frac{\pi}{9}$

4.

20˚

e)

$\frac{\pi}{8}$

5.

22.5

10.

Find the radian measure of the marked angle.

a)

$\frac{\pi}{3}$

b)

$1.25$

c)

$0.8$

d)

$\frac{\pi}{6}$

11.

What are the negative and positive coterminal angles of -225 degrees?

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

12.

Which of the following is a negative coterminal angle of 165 degrees?

a)

195

b)

525

c)

-525

d)

-195

13.

Find an angle coterminal with an angle which measures 11π ∕ 3.

a)

17 π / 3

b)

4π ∕ 3

c)

π ∕ 3

d)

8π ∕ 3

14.

Find the area of the shaded sector.

a)

5.2

b)

7.9

c)

10.5

d)

15.7

15.

In a circle with a diameter of 24 cm, a central angle of $\frac{4\pi}{3}$ radians intercepts an arc. The length of the arc, in terms of $\pi$ , is

a)

$16\pi$

b)

$4\pi$

c)

$3\pi$

d)

$32\pi$

16.

What are the negative and positive coterminal angles of 240 degrees?

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

17.

Which of the following is closest to the measure of the angle shown?

a)

30º

b)

40º

c)

395º

d)

440º

18.

Convert 3π/4 radians to degrees.

a)

90 degrees

b)

135 degrees

c)

270 degrees

d)

180 degrees

19.

Express π/3 radians in degrees.

a)

60

b)

120

c)

90

d)

45

20.

If an angle is 2 radians, what is the angle in degrees?

a)

180.0

b)

270.0

c)

114.591559026

d)

90.0

Radian and Degrees

Total questions: 20

Worksheet time: 20mins

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