Free Printable Degrees <=> Radians

1.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

2.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

3.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

4.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

5.

What is 225 degrees in radians?

a)

7π/4

b)

5π/4

c)

3π/4

d)

5π/3

6.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

7.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

8.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

9.

What is 150 degrees in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

10.

What is 360 degrees in radians?

a)

2π/3

b)

5π/4

c)

2π

d)

π

11.

What is 120 degrees in radians?

a)

2π/3

b)

π/3

c)

5π/3

d)

4π/3

12.

What is 2π/3 radians in degrees?

a)

150

b)

120

c)

180

d)

30

13.

What is 240 degrees in radians?

a)

π/3

b)

4π/3

c)

5π/3

d)

2π/3

14.

Convert π/4 radians to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

15.

Convert 4π/ 3 radians in degrees

a)

120

b)

240

c)

210

d)

270

16.

Convert 270^o into radians

a)

π/ 4

b)

3π/ 2

c)

3π/ 4

d)

π/ 2

17.

Convert 210^o to Radians

a)

7π / 6

b)

21π / 10

c)

5π / 6

d)

9π / 4

18.

Convert $\frac{\pi}{3}$ radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

19.

What is $\frac{7\pi}{4}$ in degrees?

a)

$300\degree$

b)

$135\degree$

c)

$315\degree$

d)

$45\degree$

20.

What is $\frac{2\pi}{3}$ radians in degrees?

a)

$150\degree$

b)

$120\degree$

c)

$180\degree$

d)

$30\degree$

21.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

22.

Convert $\pi$ radians to degrees.

23.

Convert $\frac{π}{4}$ from radians to degrees

24.

What is $\frac{5π}{6}$ radians in degrees?

25.

What is $\frac{7π}{4}$ radians in degrees?

26.

What is $\frac{4π}{3}$ radians in degrees?

27.

What is $225\degree$ in radians?

a)

$\frac{7\pi}{4}$

b)

$\frac{5\pi}{4}$

c)

$\frac{3\pi}{4}$

d)

$\frac{5\pi}{3}$

28.

What is $\frac{11\pi}{6}$ radians in degrees?

a)

30

b)

330

c)

360

d)

300

29.

What is $270\degree$ in radians?

a)

$\frac{\pi}{4}$

b)

$\frac{3\pi}{2}$

c)

$\frac{3\pi}{4}$

d)

$\frac{\pi}{2}$

30.

What is $\frac{7\pi}{4}$ in degrees?

a)

$300\degree$

b)

$135\degree$

c)

$315\degree$

d)

$45\degree$

31.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

32.

Convert 150⁰ to radians

a)

$\frac{5\pi}{6}$

b)

$\frac{3\pi}{4}$

c)

$\frac{7\pi}{6}$

d)

$\frac{2\pi}{3}$

33.

Convert $\frac{\pi}{3}$ radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

34.

Convert $\frac{\pi}{4}$ to degrees

a)

90⁰

b)

45⁰

c)

60⁰

d)

30⁰

35.

convert $\frac{5\pi}{3}$ rad into degrees

a)

$210\degree$

b)

$300\degree$

c)

$270\degree$

d)

$315\degree$

36.

convert $\frac{3\pi}{4}$ rad into degrees

a)

$135\degree$

b)

$140\degree$

c)

$175\degree$

d)

$210\degree$

37.

What is $\frac{7\pi}{4}$ radians in degrees?

a)

300

b)

135

c)

315

d)

45

38.

How many radians does a circle have?

a)

360 degrees

b)

2pi radians

c)

pi radians

d)

^{2 radians}

39.

Match the following angles correctly.

a)

$\frac{3\pi}{2}$

1.

270 degrees

b)

$\frac{2\pi}{3}$

2.

120 degrees

c)

$\pi$

3.

180 degrees

d)

$2\pi$

4.

360 degrees

e)

$\frac{3\pi}{4}$

5.

135 degrees

40.

Order the angles from smallest to largest

a)

$\frac{\pi}{6}$

b)

$\frac{\pi}{3}$

c)

$\frac{\pi}{2}$

d)

$\frac{2\pi}{3}$

e)

$\pi$

1)

2)

3)

4)

5)

41.

Match the following angles with its correct picture.

a)

1.

315 degrees

b)

2.

275 degrees

c)

3.

135 degrees

d)

4.

300 degrees

e)

5.

65 degrees

42.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

43.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

44.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

45.

What is 0 degrees in radians?

a)

2π

b)

0

c)

π

d)

π/2

46.

What is 240 degrees in radians?

a)

π/3

b)

4π/3

c)

5π/3

d)

2π/3

47.

Find the measure of the angle.

a)

80

b)

290

c)

120

d)

170

48.

Find the measure of the angle.

a)

210

b)

150

c)

30

d)

60

49.

Find the measure of the angle.

a)

30

b)

120

c)

210

d)

330

50.

Find the measure of the angle.

a)

30

b)

60

c)

120

d)

330

51.

Find the measure of the angle.

a)

180

b)

270

c)

90

d)

360

52.

Which of the following is closest to the measure of the angle drawn by the green curve?

a)

5π/6

b)

5π/3

c)

4π/5

d)

4π/3

53.

Which of the following radian measures is represented by this diagram?

a)

$\frac{3\pi}{4}$

b)

$\frac{11\pi}{6}$

c)

$\frac{3\pi}{8}$

d)

$\frac{11\pi}{9}$

54.

Convert $\frac{\pi}{3}$ radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

55.

What is 3π/4 radians in degrees?

a)

315

b)

135

c)

150

d)

330

56.

What is 45 degrees in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

57.

Convert 7π/ 6 radians into degrees

a)

225

b)

210

c)

270

d)

240

58.

Convert 4π/ 3 radians in degrees

a)

120

b)

240

c)

210

d)

270

59.

Convert 270^o into radians

a)

π/ 4

b)

3π/ 2

c)

3π/ 4

d)

π/ 2

60.

Convert 210^o to Radians

a)

7π / 6

b)

21π / 10

c)

5π / 6

d)

9π / 4

61.

150⁰ in radians

a)

2π/3

b)

3π/4

c)

5π/6

d)

6π/5

62.

315⁰ in radians

a)

3π/2

b)

7π/4

c)

7π/6

d)

5π/3

63.

3π/4 radians in degrees.

a)

135⁰

b)

45⁰

c)

225⁰

d)

270⁰

64.

2π/3 radians in degrees.

a)

240⁰

b)

270⁰

c)

120⁰

d)

330⁰

65.

5π/3 radians in degrees.

a)

300⁰

b)

330⁰

c)

210⁰

d)

315⁰

66.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

67.

Convert π radians to degrees.

a)

90⁰

b)

180⁰

c)

360⁰

d)

60⁰

68.

Convert π/3 radians to degrees

a)

60⁰

b)

30⁰

c)

90⁰

d)

45⁰

69.

What is 4π/3 radians in degrees?

a)

120

b)

240

c)

210

d)

270

70.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

71.

Convert each degree measure into radians and each radian measure into degrees.

a)

a

b)

b

c)

c

d)

d

Degrees <=> Radians

Total questions: 71

Worksheet time: 4hrs 13mins

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