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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).
Binary degree or binary radian (brad) is 1 turn/256. In terms of the SI unit radians this is π/128 rad. The binary degree is used in computing so that an angle can be efficiently represented in a single byte.
In relation to the base unit of [angle] => (radians), 1 Minute Of Arc (MOA) is equal to 0.000290888 radians, while 1 Binary Degrees (b deg) = 0.0245436926 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 Binary Degrees (table conversion) |
|---|---|
| 1 MOA | = 0.011851843353025 b deg |
| 2 MOA | = 0.02370368670605 b deg |
| 3 MOA | = 0.035555530059075 b deg |
| 4 MOA | = 0.0474073734121 b deg |
| 5 MOA | = 0.059259216765125 b deg |
| 6 MOA | = 0.07111106011815 b deg |
| 7 MOA | = 0.082962903471175 b deg |
| 8 MOA | = 0.0948147468242 b deg |
| 9 MOA | = 0.10666659017723 b deg |
| 10 MOA | = 0.11851843353025 b deg |
| 20 MOA | = 0.2370368670605 b deg |
| 30 MOA | = 0.35555530059075 b deg |
| 40 MOA | = 0.474073734121 b deg |
| 50 MOA | = 0.59259216765125 b deg |
| 60 MOA | = 0.7111106011815 b deg |
| 70 MOA | = 0.82962903471175 b deg |
| 80 MOA | = 0.948147468242 b deg |
| 90 MOA | = 1.0666659017723 b deg |
| 100 MOA | = 1.1851843353025 b deg |
| 200 MOA | = 2.370368670605 b deg |
| 300 MOA | = 3.5555530059075 b deg |
| 400 MOA | = 4.74073734121 b deg |
| 500 MOA | = 5.9259216765125 b deg |
| 600 MOA | = 7.111106011815 b deg |
| 700 MOA | = 8.2962903471175 b deg |
| 800 MOA | = 9.48147468242 b deg |
| 900 MOA | = 10.666659017723 b deg |
| 1000 MOA | = 11.851843353025 b deg |
| 2000 MOA | = 23.70368670605 b deg |
| 4000 MOA | = 47.4073734121 b deg |
| 5000 MOA | = 59.259216765125 b deg |
| 7500 MOA | = 88.888825147688 b deg |
| 10000 MOA | = 118.51843353025 b deg |
| 25000 MOA | = 296.29608382563 b deg |
| 50000 MOA | = 592.59216765125 b deg |
| 100000 MOA | = 1185.1843353025 b deg |
| 1000000 MOA | = 11851.843353025 b deg |
| 1000000000 MOA | = 11851843.353025 b deg |