2π radians = 360°

The Radian
Circle

A radian is the angle made when the arc equals the radius. Drag the point, or select any of the sixteen principal angles below to see it measured both ways.

Angle in radians
00.000 rad
Angle in degrees
Coordinates on the unit circle
( cos θ, sin θ ) = ( 1.000, 0.000 )

The short gray arc near 0° is exactly one radius long — that curved distance is what defines one radian, no matter where on the circle you measure it from.

Sixteen principal angles
deg · fraction of π · decimal rad · (cos, sin)