arcseconds to degrees | Exact Decimal + Formula
1 Arcsecond = 0.000278 Degree
One degree equals exactly 3,600 arcseconds — a fixed ratio you can memorize. Real-world use: astronomical measurements of star positions and telescope resolution. This page expresses those values in degrees, which is used for geometry, navigation, roof pitches, and everyday angle measurement. Type a value above for an instant answer; the exact formula and the reference table are below.
About Arcsecond and Degree
Arcsecond (arcsec)
An arcsecond is 1/3,600 of a degree.
Where it's used: Astronomical measurements of star positions and telescope resolution.
Degree (°)
A degree is 1/360 of a full rotation.
Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.
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Formula
° = arcsec × 0.000277778
To convert Arcsecond to Degree, use the formula displayed above.
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Arcsecond to Degree: Quick Reference Table
| Arcsecond | Degree (Decimal) | Fraction |
|---|---|---|
| 0.001 arcsec | 2.7778e-7 ° | - |
| 0.01 arcsec | 0.000003 ° | - |
| 0.1 arcsec | 0.000028 ° | - |
| 0.5 arcsec | 0.000139 ° | - |
| 1 arcsec | 0.000278 ° | - |
| 2 arcsec | 0.000556 ° | - |
| 5 arcsec | 0.001389 ° | - |
| 10 arcsec | 0.002778 ° | - |
| 25 arcsec | 0.006944 ° | - |
| 50 arcsec | 0.013889 ° | - |
| 100 arcsec | 0.027778 ° | - |
| 250 arcsec | 0.069444 ° | - |
| 500 arcsec | 0.138889 ° | - |
| 1000 arcsec | 0.277778 ° | - |
arcsec to ° Formula and Examples
Direct Formula
° = arcsec × 0.000277778 Inverse Formula
arcsec = ° × 3600 Mental Math Shortcut
Divide the value by roughly 3600 to quickly estimate the converted result.
Common Arcsecond to Degree Calculations
- 5 arcsec = 0.001389 °
- 10 arcsec = 0.002778 °
- 50 arcsec = 0.013889 °
- 100 arcsec = 0.027778 °
- 500 arcsec = 0.138889 °
Precision & Practical Use
For example, 10 arcsec = 0.002778 ° — roughly fractional unit measurement.
Results are computed to up to 9 decimal places. Round to the precision of your measuring instrument — for most angle applications, 2–3 significant figures are plenty.
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How to Convert Arcsecond to Degree
How many degrees are in one arcsecond?
One Arcsecond (arcsec) equals 0.000278 Degree (°). To convert arcseconds to degrees, multiply the arcsecond value by 0.000278.
How do I convert Arcsecond to Degree?
Multiply your arcsecond value by 0.000278 to get the result in Degree: ° = arcsec × 0.000278. For example, 5 arcsec = 0.001389 °.
What is the formula for converting arcsec to °?
The conversion formula is ° = arcsec × 0.000278. Use the calculator above for any value, and see the reference table below for common inputs from 0.001 to 1000.
Is there a quick mental estimate for arcsec to °?
Divide the value by roughly 3600 to quickly estimate the converted result.
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