Convert Degrees to Arcseconds
1 degree is 3,600 ″. One degree is exactly 3600 arcseconds.
One degree is 3600 arcseconds. To convert degrees to arcseconds, multiply by 3600; to go the other way, divide by 3600 or multiply by 2.7778 × 10^-4. The factor is exact rather than rounded: it follows from NIST Special Publication 811. A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic.
Factor checked against the defining standard · How we check
- Degrees × 3600
1 * 36003,600 ″
1 degree in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.01745329252 rad | × 0.0174532925199 |
| degrees (as entered) | 1 ° | — |
| gradians | 1.111111111 gon | × 1.11111111111 |
| arcminutes | 60 ′ | × 60 |
| arcseconds | 3,600 ″ | × 3,600 |
| turns | 0.002777777778 turn | × 0.00277777777778 |
| milliradians | 17.45329252 mrad | × 17.4532925199 |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert degrees to arcseconds? The converter and the working
- 1.Take the measurement in degrees.
- 2.Multiply by 3600 — that is how many arcseconds fit in one degree.
- 3.To go back the other way, divide by 3600, or multiply by 2.7778 × 10^-4.
Worked example: 25 degrees to arcseconds
- Formula
- ° × 3600 = ″
- Arithmetic
- 25 × 3600 = 90,000 ″
- Answer
- 25 ° = 90,000 ″
The factor is exact, so this figure is exact too — only the display is rounded.
Degrees to arcseconds conversion table
| Degrees | Arcseconds |
|---|---|
| 1 ° | 3,600 ″ |
| 2 ° | 7,200 ″ |
| 3 ° | 10,800 ″ |
| 4 ° | 14,400 ″ |
| 5 ° | 18,000 ″ |
| 6 ° | 21,600 ″ |
| 7 ° | 25,200 ″ |
| 8 ° | 28,800 ″ |
| 9 ° | 32,400 ″ |
| 10 ° | 36,000 ″ |
| 12 ° | 43,200 ″ |
| 15 ° | 54,000 ″ |
| 20 ° | 72,000 ″ |
| 25 ° | 90,000 ″ |
| 50 ° | 180,000 ″ |
| 100 ° | 360,000 ″ |
| 200 ° | 720,000 ″ |
| 300 ° | 1,080,000 ″ |
| 500 ° | 1,800,000 ″ |
| 1000 ° | 3,600,000 ″ |
| 2000 ° | 7,200,000 ″ |
| 5000 ° | 18,000,000 ″ |
| 10000 ° | 36,000,000 ″ |
What is a degree?
A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
What is an arcsecond?
A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
How many arcseconds are in a degree?
One degree is 3600 arcseconds, exactly. Going the other way, one arcsecond is 2.7778 × 10^-4 degrees. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to a degree.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Degrees to arcseconds. Rule Calculator. https://rulecalculators.com/convert/degree-to-arcsecond
- MLA
- "Convert Degrees to arcseconds." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/degree-to-arcsecond.
- Chicago
- Rule Calculator. "Convert Degrees to arcseconds." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/degree-to-arcsecond.
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Questions people actually ask
- How many arcseconds are in a degree?
- 3600. A 3,600th of a degree. Stellar parallax is measured in these: a star one arcsecond of parallax away is one parsec from Earth, which is where the name comes from.
- How do I convert arcseconds back to degrees?
- Divide by 3600, or multiply by 2.7778 × 10^-4 — they are the same operation.
Other angle conversions
Arcseconds to degrees — the same conversion the other way.