Math Homework. Do It Faster, Learn It Better.
Degree to Radian 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
and
From the latter, we obtain the equation . This leads us to the rule to convert degree measure to radian measure. To convert from degrees to radians, multiply the degrees by .
Example 1:
Convert to radian measure.
Example 2:
Convert to radian measure.