Discovering Radians Activity Sheet Page 2

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Conversion between degrees and radian
For example:
Ex 1) 225˚=______(radians)
a. To convert to radians you should multiply by ______.
b. You should only focus on ________ and write  after the fraction is reduced.
c. _________ = _________.
d. The answer is ________.
Ex 2)
= ______(degrees)
a. To covert to degrees you should multiply by _______.
b. Since the ’s cancel each other, we should only focus on the ________.
c. ________ = _______.
d. The answer is _______.
Ex 3) An angle representing one complete revolution of the unit circle measures 2 
radians, formerly ______º.
1. Change the following radians to
2.
Change the following degrees to
degrees if 2  =360º,
radians if 360º= 2  ,
a)  = ____________
a) 270º = __________
b) 60º = __________
 ____________
b)
2
 ____________
c)
c) 150º = __________
4
3
 ___________
d)
4
d) 30º = __________
11
 __________
e)
e) 240º = __________
6

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