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A minute of arc or arcminute (arcmin) is a unit of angular measurement equal to 1/60 of one degree. Since one degree is 1/360 of a turn (or complete rotation), one minute of arc is 1/21600 of a turn (or, in radians, π/10800).
In relation to the base unit of [angle] => (radians), 1 Circles (o) is equal to 6.28319 radians, while 1 Minute Of Arc (MOA) = 0.000290888 radians.| 1 Circles | to common angle units |
|---|---|
| 1 o | = 6.28319 radians (rad) |
| 1 o | = 6283.19 milliradians (mrad/mil) |
| 1 o | = 6400.0028520557 angular mils (µ mil) |
| 1 o | = 360.0002548397 degrees (°deg) |
| 1 o | = 400.0003055775 gradians (grad) |
| 1 o | = 21600.031627293 arcminutes (arcmin) |
| 1 o | = 1296000.9174658 arcseconds (arcsec) |
| 1 o | = 6.0000019098585 sextants (60°) |
| 1 o | = 11.999980901451 signs (30°) |
| 1 o | = 1 turns (t) |
| Circles | to Minute Of Arc (table conversion) |
|---|---|
| 1 o | = 21600.031627293 MOA |
| 2 o | = 43200.063254586 MOA |
| 3 o | = 64800.094881879 MOA |
| 4 o | = 86400.126509172 MOA |
| 5 o | = 108000.15813646 MOA |
| 6 o | = 129600.18976376 MOA |
| 7 o | = 151200.22139105 MOA |
| 8 o | = 172800.25301834 MOA |
| 9 o | = 194400.28464564 MOA |
| 10 o | = 216000.31627293 MOA |
| 20 o | = 432000.63254586 MOA |
| 30 o | = 648000.94881879 MOA |
| 40 o | = 864001.26509172 MOA |
| 50 o | = 1080001.5813646 MOA |
| 60 o | = 1296001.8976376 MOA |
| 70 o | = 1512002.2139105 MOA |
| 80 o | = 1728002.5301834 MOA |
| 90 o | = 1944002.8464564 MOA |
| 100 o | = 2160003.1627293 MOA |
| 200 o | = 4320006.3254586 MOA |
| 300 o | = 6480009.4881879 MOA |
| 400 o | = 8640012.6509172 MOA |
| 500 o | = 10800015.813646 MOA |
| 600 o | = 12960018.976376 MOA |
| 700 o | = 15120022.139105 MOA |
| 800 o | = 17280025.301834 MOA |
| 900 o | = 19440028.464564 MOA |
| 1000 o | = 21600031.627293 MOA |
| 2000 o | = 43200063.254586 MOA |
| 4000 o | = 86400126.509172 MOA |
| 5000 o | = 108000158.13646 MOA |
| 7500 o | = 162000237.2047 MOA |
| 10000 o | = 216000316.27293 MOA |
| 25000 o | = 540000790.68232 MOA |
| 50000 o | = 1080001581.3646 MOA |
| 100000 o | = 2160003162.7293 MOA |
| 1000000 o | = 21600031627.293 MOA |
| 1000000000 o | = 21600031627293 MOA |