Definition of the Radian Measure
The radian measure is an angle measure in which an angle of 1 radian is counted as one. In other words, the radian measure of any angle is the ratio of this angle to the radian.
The definition of the radian measure implies that the magnitude of the round angle equals 2π radians.
There is also another way to determine the radian measure: the radian measure of an angle is the ratio of the arc length of the circle between the angle sides to the radius of this circle when the center of the circle coincides with the angle’s vertex.
Formula of the Radian Measure of an angle
The Radian Length of angle α can be determined as follows:
When rotated in the positive direction:
When rotated in the negative direction: