# minute

##### Non-SI unit accepted for use with SI
Name Symbol Quantity Value in SI units
minute plane angle π10 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 121 600 of a turn, or π10 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′.

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