Convert Degrees to Arcseconds (° to ″)
1 degree (°) = 3600 seconds of arc (″). 1 ″ = 0.0002777777778 °. Example: 15 ° = 15 × 3600 = 54000 ″.
Also searched as degrees to ″, degrees in ″, degrees into seconds of arc, ° to ″, ° in seconds of arc, ° into second of arc, degree to second of arc, ° to seconds of arc converter and how many seconds of arc in a degree.
1 ° = 3600 ″
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk degree to second of arc converter to paste a column from Excel.
How to Convert Degree to Arcsecond
- 1 ° = 3600 ″
- 1 ″ = 0.0002777777778 °
- Example: convert 15 ° to ″: 15 ° = 15 × 3600 ″ = 54000 ″
Formula
″ = ° × 3600
Derivation from SI units:
- 1° = π/180 rad exactly; a full turn is 360°.
- 1″ = (1/3600)° = π/648 000 rad.
- 1 ° = 0.01745329251994 rad ÷ 0.000004848136811095 rad per ″ = 3600 ″
Both units are defined exactly, so the factor is exact. Degree definition: degree; Arcsecond definition: second of arc.
Worked examples
- A reading of 45 ° converts to 162000 ″.
45 ° × 3600 = 162000 ″ - A value of 120 ° is 432000 ″.
120 ° × 3600 = 432000 ″
Degree to Arcsecond conversion table
| Degrees (°) | Arcseconds (″) |
|---|---|
| 1 ° | 3600 ″ |
| 15 ° | 54000 ″ |
| 30 ° | 108000 ″ |
| 45 ° | 162000 ″ |
| 60 ° | 216000 ″ |
| 90 ° | 324000 ″ |
| 120 ° | 432000 ″ |
| 180 ° | 648000 ″ |
| 270 ° | 972000 ″ |
| 360 ° | 1296000 ″ |
Where it's used
Degrees are used for geometry, surveying and navigation, while seconds of arc appear in astronomy (parallax, star positions). Both measure plane angle, so the conversion is a fixed factor.
Degree to other angle units
| Conversion | 1 ° equals |
|---|---|
| degree to second of arc | 3600 ″ |
| degree to radian | 0.01745329252 rad |
| degree to gradian | 1.111111111 gon |
| degree to revolution | 0.002777777778 rev |
| degree to minute of arc | 60 ′ |
Frequently asked questions
How many seconds of arc are in 1 degree?
1 ° = 3600 ″.
How do I convert degrees to seconds of arc?
Multiply the value in ° by 3600. For example, 15 ° × 3600 = 54000 ″.
Is the ° to ″ conversion exact?
Yes. Both units are defined exactly, and 1 ° is exactly 3600 ″.
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 Degrees to Arcseconds (° to ″). Retrieved October 25, 2026, from https://scientificconverters.com/angle/degrees-to-arcseconds/
IEEE
Scientific Converters, "Convert Degrees to Arcseconds (° to ″)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/degrees-to-arcseconds/