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 2*π** *and in degrees, one complete counterclockwise revolution is 360°. So, degree measure and radian measure are related by the equations

360° = 2*π** *radians and

180° = *π** *radians

From the latter, we obtain the equation 1 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 3 radians to degrees.

(3 rad) =