degrees to arcseconds | Exact Decimal + Formula
1 Degree = 3600 Arcsecond
One degree equals exactly 3,600 arcseconds — a fixed ratio you can memorize. Real-world use: geometry, navigation, roof pitches, and everyday angle measurement. This page expresses those values in arcseconds, which is used for astronomical measurements of star positions and telescope resolution. Type a value above for an instant answer; the exact formula and the reference table are below.
About Degree and Arcsecond
Degree (°)
A degree is 1/360 of a full rotation.
Where it's used: Geometry, navigation, roof pitches, and everyday angle measurement.
Arcsecond (arcsec)
An arcsecond is 1/3,600 of a degree.
Where it's used: Astronomical measurements of star positions and telescope resolution.
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Angle Converter
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Formula
arcsec = ° × 3600
To convert Degree to Arcsecond, use the formula displayed above.
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Degree to Arcsecond: Quick Reference Table
| Degree | Arcsecond (Decimal) | Fraction |
|---|---|---|
| 0.001 ° | 3.6 arcsec | - |
| 0.01 ° | 36 arcsec | - |
| 0.1 ° | 360 arcsec | - |
| 0.5 ° | 1800 arcsec | - |
| 1 ° | 3600 arcsec | - |
| 2 ° | 7200 arcsec | - |
| 5 ° | 18000 arcsec | - |
| 10 ° | 36000 arcsec | - |
| 25 ° | 90000 arcsec | - |
| 50 ° | 180000 arcsec | - |
| 100 ° | 360000 arcsec | - |
| 250 ° | 900000 arcsec | - |
| 500 ° | 1800000 arcsec | - |
| 1000 ° | 3600000 arcsec | - |
° to arcsec Formula and Examples
Direct Formula
arcsec = ° × 3600 Inverse Formula
° = arcsec × 0.000278 Mental Math Shortcut
Multiply the value by roughly 3600 to calculate the equivalent amount in your head.
Common Degree to Arcsecond Calculations
- 5 ° = 18000 arcsec
- 10 ° = 36000 arcsec
- 50 ° = 180000 arcsec
- 100 ° = 360000 arcsec
- 500 ° = 1800000 arcsec
Precision & Practical Use
For example, 10 ° = 36000 arcsec — roughly multiple unit increments.
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 Degree to Arcsecond
How many arcseconds are in one degree?
One Degree (°) equals 3600 Arcsecond (arcsec). To convert degrees to arcseconds, multiply the degree value by 3600.
How do I convert Degree to Arcsecond?
Multiply your degree value by 3600 to get the result in Arcsecond: arcsec = ° × 3600. For example, 5 ° = 18000 arcsec.
What is the formula for converting ° to arcsec?
The conversion formula is arcsec = ° × 3600. 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 ° to arcsec?
Multiply the value by roughly 3600 to calculate the equivalent amount in your head.
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