Radian rad

Symbolrad
SystemSI Derived Unit
QuantityPlane angle
Value in SI1 rad = 1 m/m (dimensionless); 180°/π
Defined / adopted1960 (11th CGPM)

About the Radian

A radian is the angle subtended at the centre of a circle by an arc equal in length to the radius, so a full turn is 2π radians. Because it is a ratio of two lengths it is dimensionless. Mathematics and physics prefer radians because derivatives of trigonometric functions take their simplest form in them.

Related Units