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Degree-Radian Practice

Total questions: 12

Worksheet time: 36mins

Name
Class
Date
1.

Convert from degrees to radians (in terms of π\pi   ): 240 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

4π3\frac{4\pi}{3}  

b)

6π5\frac{6\pi}{5}  

c)

2π3\frac{2\pi}{3}  

d)

7π6\frac{7\pi}{6}  

2.

Convert from degrees to radians (in terms of π\pi   ): 360 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

3π4\frac{3\pi}{4}  

b)

π\pi  

c)

2π2\pi  

d)

2π3\frac{2\pi}{3}  

3.

Convert from degrees to radians (in terms of π\pi   ): 180 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

π2\frac{\pi}{2}  

b)

π\pi  

c)

2π2\pi  

d)

π3\frac{\pi}{3}  

4.

Convert from degrees to radians (in terms of π\pi   ): 120 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

2π3\frac{2\pi}{3}  

b)

3π5\frac{3\pi}{5}  

c)

3π4\frac{3\pi}{4}  

d)

π2\frac{\pi}{2}  

5.

Convert from degrees to radians (in terms of π\pi   ): 45 degrees.

HINT: Multiply by π180\frac{\pi}{180}   and simplify.

a)

π3\frac{\pi}{3}  

b)

π5\frac{\pi}{5}  

c)

π4\frac{\pi}{4}  

d)

π2\frac{\pi}{2}  

6.
Convert 330⁰ to radians
a)
11π/6
b)
11π/3
c)
11π/9
d)
7π/6
7.
What is 45 degrees in radians?
a)
π/2
b)
π/6
c)
π/4
d)
3π/4
8.
What is 90 degrees in radians? 
a)
π/4
b)
π/2
c)
π/6
d)
3π/2
9.

What is  225°225\degree   in radians? 

a)

7π4\frac{7\pi}{4}  

b)

5π4\frac{5\pi}{4}  

c)

3π4\frac{3\pi}{4}  

d)

5π3\frac{5\pi}{3}  

10.

What is 270°270\degree  in radians?

a)

π4\frac{\pi}{4}

b)

3π2\frac{3\pi}{2}

c)

3π4\frac{3\pi}{4}

d)

π2\frac{\pi}{2}

11.

To convert from degrees to RADIANS

a)

multiply by

π180°\frac{π}{180°}

b)

multiply by
180°π\frac{180°}{π}

c)

multiply by
π2\frac{π}{\sqrt{2}}

d)

multiply by
π3\frac{π}{\sqrt{3}}

12.
Convert 100⁰ to radians
a)
5π/9
b)
π/2
c)
5π/8
d)
5π/6