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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.
An arcminute (arcmin) or minute of arc 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 Second Of Arc (SOA) is equal to 4.848137E-6 radians, while 1 Arcminutes (arcmin) = 0.000290888 radians.| 1 Second Of Arc | to common angle units |
|---|---|
| 1 SOA | = 4.848137E-6 radians (rad) |
| 1 SOA | = 0.004848137 milliradians (mrad/mil) |
| 1 SOA | = 0.0049382703096925 angular mils (µ mil) |
| 1 SOA | = 0.00027777777776858 degrees (°deg) |
| 1 SOA | = 0.00030864199259955 gradians (grad) |
| 1 SOA | = 0.016666679271747 arcminutes (arcmin) |
| 1 SOA | = 1 arcseconds (arcsec) |
| 1 SOA | = 4.6296278258744E-6 sextants (60°) |
| 1 SOA | = 9.2592379679144E-6 signs (30°) |
| 1 SOA | = 7.7160439203653E-7 turns (t) |
| Second Of Arc | to Arcminutes (table conversion) |
|---|---|
| 1 SOA | = 0.016666679271747 arcmin |
| 2 SOA | = 0.033333358543494 arcmin |
| 3 SOA | = 0.050000037815242 arcmin |
| 4 SOA | = 0.066666717086989 arcmin |
| 5 SOA | = 0.083333396358736 arcmin |
| 6 SOA | = 0.10000007563048 arcmin |
| 7 SOA | = 0.11666675490223 arcmin |
| 8 SOA | = 0.13333343417398 arcmin |
| 9 SOA | = 0.15000011344572 arcmin |
| 10 SOA | = 0.16666679271747 arcmin |
| 20 SOA | = 0.33333358543494 arcmin |
| 30 SOA | = 0.50000037815242 arcmin |
| 40 SOA | = 0.66666717086989 arcmin |
| 50 SOA | = 0.83333396358736 arcmin |
| 60 SOA | = 1.0000007563048 arcmin |
| 70 SOA | = 1.1666675490223 arcmin |
| 80 SOA | = 1.3333343417398 arcmin |
| 90 SOA | = 1.5000011344572 arcmin |
| 100 SOA | = 1.6666679271747 arcmin |
| 200 SOA | = 3.3333358543494 arcmin |
| 300 SOA | = 5.0000037815242 arcmin |
| 400 SOA | = 6.6666717086989 arcmin |
| 500 SOA | = 8.3333396358736 arcmin |
| 600 SOA | = 10.000007563048 arcmin |
| 700 SOA | = 11.666675490223 arcmin |
| 800 SOA | = 13.333343417398 arcmin |
| 900 SOA | = 15.000011344572 arcmin |
| 1000 SOA | = 16.666679271747 arcmin |
| 2000 SOA | = 33.333358543494 arcmin |
| 4000 SOA | = 66.666717086989 arcmin |
| 5000 SOA | = 83.333396358736 arcmin |
| 7500 SOA | = 125.0000945381 arcmin |
| 10000 SOA | = 166.66679271747 arcmin |
| 25000 SOA | = 416.66698179368 arcmin |
| 50000 SOA | = 833.33396358736 arcmin |
| 100000 SOA | = 1666.6679271747 arcmin |
| 1000000 SOA | = 16666.679271747 arcmin |
| 1000000000 SOA | = 16666679.271747 arcmin |