degree

Non-SI unit accepted for use with SI

Name

Symbol

Quantity

Value in SI units

degree

plane angle

^π⁄₁₈₀ rad

Definition

The degree, symbol °, is a non-SI unit of plane angle accepted for use with the SI.

By definition, one degree is equal to ¹⁄₃₆₀ of a turn, or ^π⁄₁₈₀ of a radian.

The degree is a non-SI unit accepted for use with the SI.

The conversion between radians and degrees follows from the relation: 1 turn = 360°.

$360^\circ = 2 \pi \mspace{6mu} \text{rad}\\ \\ \\ 1^\circ \mspace{17mu} = \dfrac{\pi}{180} \mspace{6mu} \text{rad}$