Convert Arcseconds to Degrees (″ to °)
1 second of arc (″) = 0.0002777777778 degrees (°). 1 ° = 3600 ″. Example: 15 ″ = 15 × 0.0002777777778 = 0.004166666667 °.
Also searched as seconds of arc to °, seconds of arc in °, seconds of arc into degrees, ″ to °, ″ in degrees, ″ into degree, second of arc to degree, ″ to degrees converter and how many degrees in a second of arc.
1 ″ = 0.0002777777778 °
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk second of arc to degree converter to paste a column from Excel.
How to Convert Arcsecond to Degree
- 1 ″ = 0.0002777777778 °
- 1 ° = 3600 ″
- Example: convert 15 ″ to °: 15 ″ = 15 × 0.0002777777778 ° = 0.004166666667 °
Formula
° = ″ ÷ 3600
Derivation from SI units:
- 1″ = (1/3600)° = π/648 000 rad.
- 1° = π/180 rad exactly; a full turn is 360°.
- 1 ″ = 0.000004848136811095 rad ÷ 0.01745329251994 rad per ° = 0.0002777777777778 °
Both units are defined exactly, so the factor is exact. Arcsecond definition: second of arc; Degree definition: degree.
Worked examples
- A reading of 15 ″ converts to 0.004166666667 °.
15 ″ × 0.0002777777778 = 0.004166666667 ° - A value of 60 ″ is 0.01666666667 °.
60 ″ × 0.0002777777778 = 0.01666666667 °
Arcsecond to Degree conversion table
| Arcseconds (″) | Degrees (°) |
|---|---|
| 1 ″ | 0.0002777777778 ° |
| 5 ″ | 0.001388888889 ° |
| 10 ″ | 0.002777777778 ° |
| 15 ″ | 0.004166666667 ° |
| 30 ″ | 0.008333333333 ° |
| 36 ″ | 0.01 ° |
| 60 ″ | 0.01666666667 ° |
| 100 ″ | 0.02777777778 ° |
| 1000 ″ | 0.2777777778 ° |
| 3600 ″ | 1 ° |
Where it's used
Arcseconds are used for astronomy (parallax, star positions), while degrees appear in geometry, surveying and navigation. Both measure plane angle, so the conversion is a fixed factor.
Arcsecond to other angle units
| Conversion | 1 ″ equals |
|---|---|
| second of arc to degree | 0.0002777777778 ° |
| second of arc to radian | 0.000004848136811 rad |
| second of arc to gradian | 0.0003086419753 gon |
| second of arc to revolution | 7.716049383 × 10⁻⁷ rev |
| second of arc to minute of arc | 0.01666666667 ′ |
Frequently asked questions
How many degrees are in 1 second of arc?
1 ″ = 0.0002777777778 °.
How do I convert seconds of arc to degrees?
Multiply the value in ″ by 0.0002777777778, or divide it by 3600. For example, 15 ″ × 0.0002777777778 = 0.004166666667 °.
Is the ″ to ° conversion exact?
Yes. Both units are defined exactly, so the ratio is exact; its decimal form does not terminate and is shown here to 10 significant figures (more with the precision selector).
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures , Table 4 (radian) and Table 8 (non-SI units accepted for use with the SI).
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
Cite this page
APA
Scientific Converters. (2026, October 15). Convert Arcseconds to Degrees (″ to °). Retrieved October 25, 2026, from https://scientificconverters.com/angle/arcseconds-to-degrees/
IEEE
Scientific Converters, "Convert Arcseconds to Degrees (″ to °)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/arcseconds-to-degrees/