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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).
A second of arc, or arcsecond (arsec) is 1/60 of an arcminute, 1/3600 of a degree, 1/1296000 of a turn, and π/648000 (about 1/206265) of a radian.
In relation to the base unit of [angle] => (radians), 1 Minute Of Arc (MOA) is equal to 0.000290888 radians, while 1 Second Of Arc (SOA) = 4.848137E-6 radians.| 1 Minute Of Arc | to common angle units |
|---|---|
| 1 MOA | = 0.000290888 radians (rad) |
| 1 MOA | = 0.290888 milliradians (mrad/mil) |
| 1 MOA | = 0.29629599449146 angular mils (µ mil) |
| 1 MOA | = 0.016666654061044 degrees (°deg) |
| 1 MOA | = 0.018518505550338 gradians (grad) |
| 1 MOA | = 1 arcminutes (arcmin) |
| 1 MOA | = 59.999954621744 arcseconds (arcsec) |
| 1 MOA | = 0.00027777745946803 sextants (60°) |
| 1 MOA | = 0.0005555538579068 signs (30°) |
| 1 MOA | = 4.629622850813E-5 turns (t) |
| Minute Of Arc | to Second Of Arc (table conversion) |
|---|---|
| 1 MOA | = 59.999954621744 SOA |
| 2 MOA | = 119.99990924349 SOA |
| 3 MOA | = 179.99986386523 SOA |
| 4 MOA | = 239.99981848698 SOA |
| 5 MOA | = 299.99977310872 SOA |
| 6 MOA | = 359.99972773047 SOA |
| 7 MOA | = 419.99968235221 SOA |
| 8 MOA | = 479.99963697396 SOA |
| 9 MOA | = 539.9995915957 SOA |
| 10 MOA | = 599.99954621744 SOA |
| 20 MOA | = 1199.9990924349 SOA |
| 30 MOA | = 1799.9986386523 SOA |
| 40 MOA | = 2399.9981848698 SOA |
| 50 MOA | = 2999.9977310872 SOA |
| 60 MOA | = 3599.9972773047 SOA |
| 70 MOA | = 4199.9968235221 SOA |
| 80 MOA | = 4799.9963697396 SOA |
| 90 MOA | = 5399.995915957 SOA |
| 100 MOA | = 5999.9954621744 SOA |
| 200 MOA | = 11999.990924349 SOA |
| 300 MOA | = 17999.986386523 SOA |
| 400 MOA | = 23999.981848698 SOA |
| 500 MOA | = 29999.977310872 SOA |
| 600 MOA | = 35999.972773047 SOA |
| 700 MOA | = 41999.968235221 SOA |
| 800 MOA | = 47999.963697396 SOA |
| 900 MOA | = 53999.95915957 SOA |
| 1000 MOA | = 59999.954621744 SOA |
| 2000 MOA | = 119999.90924349 SOA |
| 4000 MOA | = 239999.81848698 SOA |
| 5000 MOA | = 299999.77310872 SOA |
| 7500 MOA | = 449999.65966308 SOA |
| 10000 MOA | = 599999.54621744 SOA |
| 25000 MOA | = 1499998.8655436 SOA |
| 50000 MOA | = 2999997.7310872 SOA |
| 100000 MOA | = 5999995.4621744 SOA |
| 1000000 MOA | = 59999954.621744 SOA |
| 1000000000 MOA | = 59999954621.744 SOA |