A radian (radrad) is the angle (θ\theta) which subtends an arc equal to the length of the radius of a circle and the SI unit of angles. The angle of a circle is 2π2\pi radians.

Convert Between Radians and Degrees

Given there are 360°360\degree in a circle and 2π rad2\pi\ rad in a circle, we can say 360°=2π rad360\degree = 2\pi\ rad.

You can solve for either side of the equation to determine the formula for conversion.

First, simplify:

180°=π rad180\degree = \pi\ rad

Video: Intro to Radians

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