Free Printable Intro Unit Circle

1.

What is 11π/6 radians in degrees?

a)

30

b)

330

c)

360

d)

300

2.

Convert 150⁰ to radians

a)

5π/6

b)

3π/4

c)

7π/6

d)

2π/3

3.

Convert from degrees to radians: 135°

a)

2π ∕ 3

b)

3π ∕ 4

c)

5π ∕ 4

d)

3π ∕ 5

4.

Choose the best match for the graph.

a)

30^o

b)

45^o

c)

60^o

d)

90^o

5.

What is the measure of this angle?

a)

-70^o

b)

-20^o

c)

20^o

d)

70^o

6.

What are the exact coordinates of 3π/4 on the unit circle?

a)

(−√2∕2, √2∕2)

b)

(−√2∕2, −√2∕2)

c)

(−√3∕2, −√2∕2)

d)

(√2∕2, −√2∕2)

7.

Identify the Positive angle in both radians and degrees that represent point D.

a)

$60\degree,\ \frac{\pi}{3}$

b)

$45\degree,\ \frac{\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$90\degree,\ \frac{\pi}{2}$

8.

Identify the Positive angle in both radians and degrees that represent point L.

a)

$240\degree,\ \frac{4\pi}{3}$

b)

$225\degree,\ \frac{5\pi}{4}$

c)

$-60\degree,\ -\frac{\pi}{3}$

d)

$270\degree,\ \frac{3\pi}{2}$

9.

Identify the Positive angle in both radians and degrees that represent point I.

a)

$180\degree,\ \pi$

b)

$210\degree,\ \frac{7\pi}{6}$

c)

$150\degree,\ \frac{5\pi}{6}$

d)

$360\degree,\ 2\pi$

10.

What are the coordinates of 210° on the unit circle?

a)

(−√3/2, −1/2)

b)

(√3/2, −1/2)

c)

(−√3/2, 1/2)

d)

(−1/2,−√3/2 )

11.

What the coordinates of 3π/2 on the unit circle?

a)

0, 1

b)

1, 0

c)

-1, 0

d)

0, -1

12.

How many degrees is ^π/₂ radians?

a)

30°

b)

45°

c)

60°

d)

90°

13.

Identify the Positive angle in both radians and degrees that represent point H.

a)

$150\degree,\ \frac{5\pi}{6}$

b)

$135\degree,\ \frac{3\pi}{4}$

c)

$180\degree,\ \pi$

d)

$210\degree,\ \frac{7\pi}{6}$

14.

What is 7π/4 radians in degrees?

a)

300

b)

135

c)

315

d)

45

15.

What is a complete circle in radians?

a)

π

b)

2π

c)

1/2 π

d)

1

Intro Unit Circle

Total questions: 15

Worksheet time: 15mins

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