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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.
In relation to the base unit of [angle] => (radians), 1 Second Of Arc (SOA) is equal to 4.848137E-6 radians, while 1 Rotations (rot) = 6.28319 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 Rotations (table conversion) |
|---|---|
| 1 SOA | = 7.7160439203653E-7 rot |
| 2 SOA | = 1.5432087840731E-6 rot |
| 3 SOA | = 2.3148131761096E-6 rot |
| 4 SOA | = 3.0864175681461E-6 rot |
| 5 SOA | = 3.8580219601826E-6 rot |
| 6 SOA | = 4.6296263522192E-6 rot |
| 7 SOA | = 5.4012307442557E-6 rot |
| 8 SOA | = 6.1728351362922E-6 rot |
| 9 SOA | = 6.9444395283288E-6 rot |
| 10 SOA | = 7.7160439203653E-6 rot |
| 20 SOA | = 1.5432087840731E-5 rot |
| 30 SOA | = 2.3148131761096E-5 rot |
| 40 SOA | = 3.0864175681461E-5 rot |
| 50 SOA | = 3.8580219601826E-5 rot |
| 60 SOA | = 4.6296263522192E-5 rot |
| 70 SOA | = 5.4012307442557E-5 rot |
| 80 SOA | = 6.1728351362922E-5 rot |
| 90 SOA | = 6.9444395283288E-5 rot |
| 100 SOA | = 7.7160439203653E-5 rot |
| 200 SOA | = 0.00015432087840731 rot |
| 300 SOA | = 0.00023148131761096 rot |
| 400 SOA | = 0.00030864175681461 rot |
| 500 SOA | = 0.00038580219601826 rot |
| 600 SOA | = 0.00046296263522192 rot |
| 700 SOA | = 0.00054012307442557 rot |
| 800 SOA | = 0.00061728351362922 rot |
| 900 SOA | = 0.00069444395283288 rot |
| 1000 SOA | = 0.00077160439203653 rot |
| 2000 SOA | = 0.0015432087840731 rot |
| 4000 SOA | = 0.0030864175681461 rot |
| 5000 SOA | = 0.0038580219601826 rot |
| 7500 SOA | = 0.005787032940274 rot |
| 10000 SOA | = 0.0077160439203653 rot |
| 25000 SOA | = 0.019290109800913 rot |
| 50000 SOA | = 0.038580219601826 rot |
| 100000 SOA | = 0.077160439203653 rot |
| 1000000 SOA | = 0.77160439203653 rot |
| 1000000000 SOA | = 771.60439203653 rot |