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

Resources to Learn About Radians

Deeper Knowledge on Radian

Angular Motion

The basics of angular motion

Broader Topics Related to Radian

Circles (Geometry)

The mathematics of circles


Fun with numbers

Radian Knowledge Graph