Radian

A unit for measuring angles. 180° = π radians, and 360° = 2π radians. The number of radians in an angle equals the number of radii it takes to measure a circular arc described by that angle.

Note: 360° equals 2π radians because a complete circular arc has length equal to 2π times the radius.

 

	Formula: θ = s/r θ = measure of the central angle in radians s = arc length r = radius of the circle
	Example: s = 10 r = 5 θ = 10/5 = 2 radians

 

Commonly used angles in degrees and radians

 

See also

Special angles