Convert Arcseconds to Arcminutes (″ to ′)
1 second of arc (″) = 0.01666666667 minutes of arc (′). 1 ′ = 60 ″. Example: 15 ″ = 15 × 0.01666666667 = 0.25 ′.
Also searched as seconds of arc to ′, seconds of arc in ′, seconds of arc into minutes of arc, ″ to ′, ″ in minutes of arc, ″ into minute of arc, second of arc to minute of arc, ″ to minutes of arc converter and how many minutes of arc in a second of arc.
1 ″ = 0.01666666667 ′
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk second of arc to minute of arc converter to paste a column from Excel.
How to Convert Arcsecond to Arcminute
- 1 ″ = 0.01666666667 ′
- 1 ′ = 60 ″
- Example: convert 15 ″ to ′: 15 ″ = 15 × 0.01666666667 ′ = 0.25 ′
Formula
′ = ″ ÷ 60
Derivation from SI units:
- 1″ = (1/3600)° = π/648 000 rad.
- 1′ = (1/60)° = π/10 800 rad.
- 1 ″ = 0.000004848136811095 rad ÷ 0.0002908882086657 rad per ′ = 0.01666666666667 ′
Both units are defined exactly, so the factor is exact. Arcsecond definition: second of arc; Arcminute definition: minute of arc.
Worked examples
- A reading of 15 ″ converts to 0.25 ′.
15 ″ × 0.01666666667 = 0.25 ′ - A value of 60 ″ is 1 ′.
60 ″ × 0.01666666667 = 1 ′
Arcsecond to Arcminute conversion table
| Arcseconds (″) | Arcminutes (′) |
|---|---|
| 1 ″ | 0.01666666667 ′ |
| 5 ″ | 0.08333333333 ′ |
| 10 ″ | 0.1666666667 ′ |
| 15 ″ | 0.25 ′ |
| 30 ″ | 0.5 ′ |
| 36 ″ | 0.6 ′ |
| 60 ″ | 1 ′ |
| 100 ″ | 1.666666667 ′ |
| 1000 ″ | 16.66666667 ′ |
| 3600 ″ | 60 ′ |
Where it's used
Arcseconds are used for astronomy (parallax, star positions), while minutes of arc appear in latitude and longitude (degrees, minutes, seconds). Both measure plane angle, so the conversion is a fixed factor.
Arcsecond to other angle units
| Conversion | 1 ″ equals |
|---|---|
| second of arc to minute of arc | 0.01666666667 ′ |
| second of arc to radian | 0.000004848136811 rad |
| second of arc to degree | 0.0002777777778 ° |
| second of arc to gradian | 0.0003086419753 gon |
| second of arc to revolution | 7.716049383 × 10⁻⁷ rev |
Frequently asked questions
How many minutes of arc are in 1 second of arc?
1 ″ = 0.01666666667 ′.
How do I convert seconds of arc to minutes of arc?
Multiply the value in ″ by 0.01666666667, or divide it by 60. For example, 15 ″ × 0.01666666667 = 0.25 ′.
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 Arcminutes (″ to ′). Retrieved October 25, 2026, from https://scientificconverters.com/angle/arcseconds-to-arcminutes/
IEEE
Scientific Converters, "Convert Arcseconds to Arcminutes (″ to ′)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/arcseconds-to-arcminutes/