minute

Non-SI unit accepted for use with SI

Name

Symbol

Quantity

Value in SI units

minute

′

plane angle

^π⁄_10 800 rad

Definition

The arc minute, symbol ′, is a non-SI unit of plane angle accepted for use with the SI.

One arc minute is equal to ¹⁄_21 600 of a turn, or ^π⁄_10 800 of a radian.

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

The conversion between radians and arc minutes follows from the relations: 1 turn = 360° and 1° = 60′.

$360^\circ = 2 \pi \mspace{6mu} \text{rad}\\ \\ \\ 1^\circ \mspace{17mu} = \dfrac{\pi}{180} \mspace{6mu} \text{rad}\\ \\ \\ 1^\prime \mspace{19mu} = \dfrac{\pi}{10 \ 800} \mspace{6mu} \text{rad}$