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Advanced Algebra w/Trigonometry
Ch 13C Notes #1 – Degree vs. Radian Angle Measures
Target Goals: 1. Convert degrees to radians - convert radians to degrees
2. Sketch an angle and state the quadrant
Unit Circle
The length of the intercepted arc of the unit circle is defined as a radian.
Radians are sometimes used to measure angles.
Circumference of the Unit Circle =
Sketch the following angles in standard position. Draw an arrow to represent the correct amount of rotation.
Find two coterminal angles, one positive and one negative. State the quadrant,
Ex 1) (a) 95º
(b) - 50º
Positive angle: ___________
Positive angle: ___________
Negative angle: __________
Negative angle: __________
Quadrant: __________
Quadrant: __________
__________________________________________________________________________________________
Ex 2) Change the following angle measures from degrees to radians.
(a) 30
(b) 45
(c) 90
(d) 135
__________________________________________________________________________________________
Ex 3) Change the following angle measures from radians to degrees.
(a)

3
HW #1: Ch 13C -- Radian WS #1
(b)
3
2
(c)
7
4