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```									Radian Measure                                                                          Name:
Date:
Toolkit:                                               Summary

   Angle measure in degrees from 0° to 360°
   Angles in Standard Position information
   Reference angles
   Coterminal angles

Up to now, we have measured angles in degrees….

But we can also talk about angles in the language of RADIANS. We just need to
know how to translate!

What is a radian?        Measure of an angle in radians = Length of arc subtending the angle
a
    (as long as θ is in RADIANS) A handy rearrangement:
r
look like?
a
     
r

Imagine a full circle: the length of the “arc” is ___________________________
are there in a circle?
and the formula is__________.
a
So   
r

What is the easiest
way to convert?
How do you convert

Ex1) Convert to
a) 180°
b) 270°
c) 360°
d) 220°
e) 120°

How do you convert

Ex2) Convert to
degrees

a) 1

b)
6

c)
8

d)
2
5
e)
4

5
Ex3) Sketch       in
3
standard position
and give the
reference angle

Application:
Arc Length
Ex4) Find the length
of the arc subtending
an angle of 45° in a