arc-seconds to degrees
Convert arc-second to degree — instant, free, with the formula shown.
1 ″=0.00027778 °
How to convert arc-second to degree
To convert arc-second to degree, multiply by 0.00027778:
° = ″ × 0.00027778
For example, 10 ″ × 0.000278 = 0.00277778 °.
″ to ° conversion table
| arc-seconds (″) | degrees (°) |
|---|---|
| 1 ″ | 0.00027778 ° |
| 2 ″ | 0.00055556 ° |
| 5 ″ | 0.00138889 ° |
| 10 ″ | 0.00277778 ° |
| 25 ″ | 0.00694444 ° |
| 50 ″ | 0.01388889 ° |
| 100 ″ | 0.02777778 ° |
| 250 ″ | 0.06944444 ° |
| 500 ″ | 0.13888889 ° |
| 1000 ″ | 0.27777778 ° |
Other arc-second conversions
Convert to degree from another unit
″ to ° — frequently asked
How many degrees are in 1 arc-second?
1 arc-second = 0.00027778 degrees (″ × 0.000278 = °).
What is the formula to convert arc-second to degree?
Multiply your arc-second value by 0.00027778 to get degree.
How do I convert 10 arc-seconds to degrees?
10 ″ = 0.00277778 °. For 100 ″ the answer is 0.02777778 °. Use the calculator on this page for any other value.
When to convert arc-second to degree
1Mathematics and trigonometry (radians)
2Surveying and navigation (degrees, minutes, seconds)
3Engineering (mrad for laser sights, optics)
4Astronomy (arc-seconds for stellar parallax)
Angle conversion — common questions
Why are radians used in math instead of degrees?
Because in radians, derivatives and series of trig functions take their simplest form (d/dx sin(x) = cos(x) only when x is in radians).
How many degrees in 1 radian?
1 rad = 180/π ≈ 57.2958°.
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