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Chapter 5.1 - Angles & Radian Measures

Total questions: 23

Worksheet time: 25mins

Name
Class
Date
1.

Which of the following shows  150°150\degree  in standard positon?

a)
b)
c)
d)
2.

Which of the following shows  −210°-210\degree  graphed in standard position?

a)
b)
c)
d)
3.

Which of the following shows  300°300\degree  graphed in standard position?

a)
b)
c)
d)
4.

Which of the following shows  5π4\frac{5\pi}{4}  graphed in standard position?

a)
b)
c)
d)
5.

Which of the following shows  −π4-\frac{\pi}{4}  graphed in standard position?

a)
b)
c)
d)
6.

Which of the following shows  11π6\frac{11\pi}{6}  graphed in standard position?

a)
b)
c)
d)
7.

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

a)

135°135\degree

b)

85°85\degree

c)

210°210\degree

d)

−220°-220\degree

8.

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

a)

−220°-220\degree

b)

385°385\degree

c)

−210°-210\degree

d)

−480°-480\degree

9.

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

a)

−3π4-\frac{3\pi}{4}

b)

6π5\frac{6\pi}{5}

c)

−π3-\frac{\pi}{3}

d)

−7π4-\frac{7\pi}{4}

10.

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

a)

540°, -120°

b)

600°, -120°

c)

425°, -240°

d)

120°, -135°

11.

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

a)

375°, -600°

b)

125°, -356°

c)

135°, -585°

d)

60°, -120°

12.

Find a coterminal angle to -27°.

a)

-387°

b)

27°

c)

323°

d)

-393°

13.

Find a coterminal angle to -90°.

a)

-450°

b)

90°

c)

180°

d)

-180°

14.

Find a coterminal angle to 45°.

a)

360°

b)

405°

c)

315°

d)

295°

15.
Find an angle coterminal with an angle which measures 11π ∕ 3.
a)
17 π / 3
b)
4π ∕ 3
c)
π ∕ 3
d)
8π ∕ 3
16.
Find an angle coterminal with an angle measuring 17π / 4 radians.
a)
π ∕ 3
b)
5π ∕ 4
c)
π ∕ 4
d)
13π ∕ 4
17.

What is 360° in radian?

a)

2π radian

b)

π radian

c)

π/4 radian

d)

π/2 radian

18.

What is 150° in radians?

a)

5π/6

b)

7π/6

c)

5π/4

d)

π/6

19.

What is 45° in radians?

a)

π/2

b)

π/6

c)

π/4

d)

3π/4

20.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
21.

What is 5π/6 radians in degrees?

a)

180°

b)

150°

c)

360°

d)

120°

22.

What is 4π/3 radians in degrees?

a)

120°

b)

240°

c)

210°

d)

270°

23.

What is 2π/3 radians in degrees?

a)

150°

b)

120°

c)

180°

d)

30°