minute

Non-SI unit accepted for use with SI

Name	Symbol	Quantity	SI units
minute	′	plane angle, phase angle	^π⁄_10 800 rad
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 radians.
Definition
$1^\prime = \dfrac{\pi}{10 \ 800} \mspace{6mu} \text{rad}$

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

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