Convert Arcminutes to Arcseconds (′ to ″)
1 minute of arc (′) = 60 seconds of arc (″). 1 ″ = 0.01666666667 ′. Example: 15 ′ = 15 × 60 = 900 ″.
Also searched as minutes of arc to ″, minutes of arc in ″, minutes of arc into seconds of arc, ′ to ″, ′ in seconds of arc, ′ into second of arc, minute of arc to second of arc, ′ to seconds of arc converter and how many seconds of arc in a minute of arc.
1 ′ = 60 ″
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk minute of arc to second of arc converter to paste a column from Excel.
How to Convert Arcminute to Arcsecond
- 1 ′ = 60 ″
- 1 ″ = 0.01666666667 ′
- Example: convert 15 ′ to ″: 15 ′ = 15 × 60 ″ = 900 ″
Formula
″ = ′ × 60
Derivation from SI units:
- 1′ = (1/60)° = π/10 800 rad.
- 1″ = (1/3600)° = π/648 000 rad.
- 1 ′ = 0.0002908882086657 rad ÷ 0.000004848136811095 rad per ″ = 60 ″
Both units are defined exactly, so the factor is exact. Arcminute definition: minute of arc; Arcsecond definition: second of arc.
Worked examples
- A reading of 15 ′ converts to 900 ″.
15 ′ × 60 = 900 ″ - A value of 45 ′ is 2700 ″.
45 ′ × 60 = 2700 ″
Arcminute to Arcsecond conversion table
| Arcminutes (′) | Arcseconds (″) |
|---|---|
| 1 ′ | 60 ″ |
| 5 ′ | 300 ″ |
| 10 ′ | 600 ″ |
| 15 ′ | 900 ″ |
| 20 ′ | 1200 ″ |
| 30 ′ | 1800 ″ |
| 45 ′ | 2700 ″ |
| 60 ′ | 3600 ″ |
| 90 ′ | 5400 ″ |
| 120 ′ | 7200 ″ |
Where it's used
Arcminutes are used for latitude and longitude (degrees, minutes, seconds), while seconds of arc appear in astronomy (parallax, star positions). Both measure plane angle, so the conversion is a fixed factor.
Arcminute to other angle units
| Conversion | 1 ′ equals |
|---|---|
| minute of arc to second of arc | 60 ″ |
| minute of arc to radian | 0.0002908882087 rad |
| minute of arc to degree | 0.01666666667 ° |
| minute of arc to gradian | 0.01851851852 gon |
| minute of arc to revolution | 0.0000462962963 rev |
Frequently asked questions
How many seconds of arc are in 1 minute of arc?
1 ′ = 60 ″.
How do I convert minutes of arc to seconds of arc?
Multiply the value in ′ by 60. For example, 15 ′ × 60 = 900 ″.
Is the ′ to ″ conversion exact?
Yes. Both units are defined exactly, and 1 ′ is exactly 60 ″.
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 Arcminutes to Arcseconds (′ to ″). Retrieved October 25, 2026, from https://scientificconverters.com/angle/arcminutes-to-arcseconds/
IEEE
Scientific Converters, "Convert Arcminutes to Arcseconds (′ to ″)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/arcminutes-to-arcseconds/