Convert arcsecond to degree
Here you can quickly calculate how many degree fit in one arcsecond.
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- 1 ″ = 0.000278 °
- 1 ° = 3600 ″
Example: arcsecond to degree
- 1 arcsecond = 0.000278 degree
Arcsecond to degree conversion table
| arcsecond | degree |
|---|---|
| 1 | 0.000278 |
| 30 | 0.008333 |
| 45 | 0.0125 |
| 60 | 0.016667 |
| 90 | 0.025 |
| 180 | 0.05 |
| 270 | 0.075 |
| 360 | 0.1 |
Arcsecond to degree formula
To convert arcsecond to degree, divide by 3600.
1 ″ = 0.000278 °
Example: 1 arcsecond = 0.000278 degree
Common angle conversion mistakes
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The calculator is in the wrong mode. SIN() in a spreadsheet, Math.sin in code and a calculator in radian mode all read 90 as radians, so sin(90) gives about 0.894, not 1. Convert degrees to radians first, or switch the calculator to degree mode.
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A mil is not the same everywhere. The NATO mil is 1/6,400 of a turn, the old Swedish streck 1/6,300, and some armies use 1/6,000. Check which scale the sight or map uses, or the target lands off at long range.
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Gradians and degrees are easy to mix up, since both show as plain numbers on the instrument. A right angle is 90° but 100 gon, and 1 gon is smaller than 1°. Check the unit setting on the instrument.
Quick arcsecond and degree conversion quiz
Score:
0
1 degree equals 3 600 arcsecond.
Correct answer: 1 degree = 3 600 arcsecond.
20 arcsecond equals 0.00111 degree.
Correct answer: 20 arcsecond = 0.00556 degree.
100 arcsecond equals 0.00278 degree.
Correct answer: 100 arcsecond = 0.0278 degree.
2 arcsecond equals 0.00556 degree.
Correct answer: 2 arcsecond = 0.000556 degree.