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Angles to radians

Total questions: 21

Worksheet time: 21mins

Name
Class
Date
1.

What is 0° in radians

a)

0

b)

π6\frac{\pi}{6}

c)

π3\frac{\pi}{3}

d)

π1\frac{\pi}{1}

2.
How many radians does a circle have?
a)
  360 degrees
b)
2pi radians
c)
pi radians
d)
2 radians
3.
Convert π radians to degrees.
a)
90⁰
b)
180⁰
c)
360⁰
d)
60⁰
4.
Convert 150⁰ to radians
a)
5π/6
b)
3π/4
c)
7π/6
d)
2π/3
5.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6
6.
What is 7π/4 radians in degrees?
a)
300
b)
135
c)
315
d)
45
7.
What is 225  degrees in radians? 
a)
7π/4
b)
5π/4
c)
3π/4
d)
5π/3
8.
What is 2π/3 radians in degrees? 
a)
150
b)
120
c)
180
d)
 30
9.
What is 11π/6 radians in degrees? 
a)
30
b)
330
c)
360
d)
 300
10.
What is 150 degrees in radians?
a)
5π/6
b)
7π/6
c)
5π/4
d)
π/6
11.
What is 360 degrees in radians? 
a)
2π/3
b)
5π/4
c)
d)
π
12.
What is 7π/6 radians in degrees?
 225⁰ 210⁰ 270⁰ 240⁰
a)
225
b)
210
c)
270
d)
240
13.
What is 240 degrees in radians? 
a)
π/3
b)
4π/3
c)
5π/3
d)
2π/3
14.

What is the measure in radians of the angle A = 330°?

a)

a) 11π/3

b)

b) 7π/4

c)

c) 7π/6

d)

d) 11π/6

15.

What is 30° in radians?

a)

π3\frac{\pi}{3}

b)

π6\frac{\pi}{6}

c)

π4\frac{\pi}{4}

d)

π5\frac{\pi}{5}

16.

What is 45° in radians?

a)

π3\frac{\pi}{3}

b)

π5\frac{\pi}{5}

c)

π7\frac{\pi}{7}

d)

π4\frac{\pi}{4}

17.

What is 60° in radians?

a)

π6\frac{\pi}{6}

b)

π3\frac{\pi}{3}

c)

π5\frac{\pi}{5}

d)

π2\frac{\pi}{2}

18.

What is 90° in radians?

a)

π2\frac{\pi}{2}

b)

π4\frac{\pi}{4}

c)

π\pi

d)

π3\frac{\pi}{3}

19.

What is 135° in radians?

a)

2π3\frac{2\pi}{3}

b)

6π7\frac{6\pi}{7}

c)

3π4\frac{3\pi}{4}

d)

5π4\frac{5\pi}{4}

20.

What is 270° in radians?

a)

4π3\frac{4\pi}{3}

b)

4π5\frac{4\pi}{5}

c)

5π6\frac{5\pi}{6}

d)

3π2\frac{3\pi}{2}

21.

What is 300° in radians?

a)

 5π3\frac{5\pi}{3}  

b)

 5π6\frac{5\pi}{6}  

c)

 5π4\frac{5\pi}{4}  

d)

 3π2\frac{3\pi}{2}