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HW- Conversion Worksheet
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HS, Teacher Website
Name _________________________
Geometry H
11.2B Converting between Radians and Degrees
GOAL:
I will be able to:
1. convert from degree measure to radian measure and vice versa.
Date ________
DEGREE - A unit of measurement of angles, one three-hundred-and-sixtieth of the
circumference of a circle.
RADIAN - A unit of angle, equal to an angle at the center of a circle whose arc is equal in length
to the radius.
http://upload.wikimedia.org/wikipedia/commons/4/4e/Circle_radians.gif
CONVERTING ANGLE MEASURES
Degrees to radians
π radians
Multiply by
180o
Radians to degrees
180o
Multiply by
π radians
Example 1: Convert from Degrees to Radians
Convert from degrees to radians. Answer must be in simplest fraction form.
1. 40o
2. 120o
3. 180o
a. 60
o
YOU TRY:
b. 100o
c. 360o
Example 2: Convert from Radians to Degrees
Convert from degrees to radians. Answer must be in simplest fraction form.
3π
5π
π
1.
2.
3.
4
3
3
a.
π
9
YOU TRY:
b.
7π
4
http://upload.wikimedia.org/wikipedia/commons/6/67/2pi-unrolled.gif
c.
8π
5