Radian to Degree Measure
The measure of an angle is determined by the amount of rotation from the initial side to the terminal side. In radians, one complete counterclockwise revolution is and in degrees, one complete counterclockwise revolution is . So, degree measure and radian measure are related by the equations
radians and
radians
From the latter, we obtain the equation radian = . This leads us to the rule to convert radian measure to degree measure. To convert from radians to degrees, multiply the radians by .
Example 1:
Convert radians to degrees.
Example 2:
Convert radians to degrees.
Example 3:
Convert radians to degrees.