Minutes Of Arc Conversion

Protractors are often used to measure angle

The minute of arc is a unit used to measure angle. Use one of the conversion calculators below to convert to another unit of measure, or read on to learn more about minutes of arc.

Minute Of Arc Conversion Calculators

Choose a unit of angle to convert to.

Minute Of Arc Definition and Usage

The minute of arc is a unit of angle equal to 1/60th of one degree, or 1/21,600 of a circle. The minute of arc is also equal to π/10,800 radians.

A minute of arc is sometimes also referred to as an arc minute, arcminute, or minute arc. Minutes of arc can be abbreviated as arcmin, and are also sometimes abbreviated as MOA or amin. For example, 1 minute of arc can be written as 1 arcmin, 1 MOA, or 1 amin.

The minute of arc is most commonly represented using the prime (′), although the single-quote is commonly used. For instance, 1 minute of is most commonly expressed as 1′.

Uses

Arc minutes are often used in conjunction with degrees and arc seconds. The arc minute is often used in astronomy, altitude, navigation, and the system of latitude and longitude.

Minutes Of Arc Measurement Conversion Table

Common minute of arc values and equivalent imperial and metric angle measurements
minutes of arc radians milliradians degrees seconds of arc gradians revolutions circles mils (NATO)
1' 0.000291 rad 0.290888 mrad 0.016667° 60" 0.018519g 0.000046296 r 0.000046296 cir 0.296296 mil
2' 0.000582 rad 0.581776 mrad 0.033333° 120" 0.037037g 0.000092593 r 0.000092593 cir 0.592593 mil
3' 0.000873 rad 0.872665 mrad 0.05° 180" 0.055556g 0.000139 r 0.000139 cir 0.888889 mil
4' 0.001164 rad 1.163553 mrad 0.066667° 240" 0.074074g 0.000185 r 0.000185 cir 1.185185 mil
5' 0.001454 rad 1.454441 mrad 0.083333° 300" 0.092593g 0.000231 r 0.000231 cir 1.481481 mil
6' 0.001745 rad 1.745329 mrad 0.1° 360" 0.111111g 0.000278 r 0.000278 cir 1.777778 mil
7' 0.002036 rad 2.036217 mrad 0.116667° 420" 0.12963g 0.000324 r 0.000324 cir 2.074074 mil
8' 0.002327 rad 2.327106 mrad 0.133333° 480" 0.148148g 0.00037 r 0.00037 cir 2.37037 mil
9' 0.002618 rad 2.617994 mrad 0.15° 540" 0.166667g 0.000417 r 0.000417 cir 2.666667 mil
10' 0.002909 rad 2.908882 mrad 0.166667° 600" 0.185185g 0.000463 r 0.000463 cir 2.962963 mil
11' 0.0032 rad 3.19977 mrad 0.183333° 660" 0.203704g 0.000509 r 0.000509 cir 3.259259 mil
12' 0.003491 rad 3.490659 mrad 0.2° 720" 0.222222g 0.000556 r 0.000556 cir 3.555556 mil
13' 0.003782 rad 3.781547 mrad 0.216667° 780" 0.240741g 0.000602 r 0.000602 cir 3.851852 mil
14' 0.004072 rad 4.072435 mrad 0.233333° 840" 0.259259g 0.000648 r 0.000648 cir 4.148148 mil
15' 0.004363 rad 4.363323 mrad 0.25° 900" 0.277778g 0.000694 r 0.000694 cir 4.444444 mil
16' 0.004654 rad 4.654211 mrad 0.266667° 960" 0.296296g 0.000741 r 0.000741 cir 4.740741 mil
17' 0.004945 rad 4.9451 mrad 0.283333° 1,020" 0.314815g 0.000787 r 0.000787 cir 5.037037 mil
18' 0.005236 rad 5.235988 mrad 0.3° 1,080" 0.333333g 0.000833 r 0.000833 cir 5.333333 mil
19' 0.005527 rad 5.526876 mrad 0.316667° 1,140" 0.351852g 0.00088 r 0.00088 cir 5.62963 mil
20' 0.005818 rad 5.817764 mrad 0.333333° 1,200" 0.37037g 0.000926 r 0.000926 cir 5.925926 mil