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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
                                                                   Length of radius
                            a
                             (as long as θ is in RADIANS) A handy rearrangement:
                            r
What does 1 radian       1 radian is the angle when the arc length equals the radius!
look like?
                              a
                              
                              r




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




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

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

How do you convert
radians to degrees?

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
circle with a radius
of 3.6 (to the nearest
tenth)

				
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