Convert Degrees to Arcminutes (° to ′)
1 degree (°) = 60 minutes of arc (′). 1 ′ = 0.01666666667 °. Example: 0.5 ° = 0.5 × 60 = 30 ′.
Also searched as degrees to ′, degrees in ′, degrees into minutes of arc, ° to ′, ° in minutes of arc, ° into minute of arc, degree to minute of arc, ° to minutes of arc converter and how many minutes of arc in a degree.
1 ° = 60 ′
Type in either box. Scientific notation works: 1.5e-3.
Converting a list? Use the bulk degree to minute of arc converter to paste a column from Excel.
How to Convert Degree to Arcminute
- 1 ° = 60 ′
- 1 ′ = 0.01666666667 °
- Example: convert 0.5 ° to ′: 0.5 ° = 0.5 × 60 ′ = 30 ′
Formula
′ = ° × 60
Derivation from SI units:
- 1° = π/180 rad exactly; a full turn is 360°.
- 1′ = (1/60)° = π/10 800 rad.
- 1 ° = 0.01745329251994 rad ÷ 0.0002908882086657 rad per ′ = 60 ′
Both units are defined exactly, so the factor is exact. Degree definition: degree; Arcminute definition: minute of arc.
Worked examples
- An angle of 0.5 ° is 30 ′.
0.5 ° × 60 = 30 ′ - 1 ° is 60 ′.
1 ° × 60 = 60 ′
Degree to Arcminute conversion table
| Degrees (°) | Arcminutes (′) |
|---|---|
| 1 ° | 60 ′ |
| 15 ° | 900 ′ |
| 30 ° | 1800 ′ |
| 45 ° | 2700 ′ |
| 60 ° | 3600 ′ |
| 90 ° | 5400 ′ |
| 120 ° | 7200 ′ |
| 180 ° | 10800 ′ |
| 270 ° | 16200 ′ |
| 360 ° | 21600 ′ |
Where it's used
Decimal degrees are converted to minutes of arc for coordinates written in degrees and minutes, telescope fields of view and rifle-scope adjustments. Multiply by 60.
Degree to other angle units
| Conversion | 1 ° equals |
|---|---|
| degree to minute of arc | 60 ′ |
| degree to radian | 0.01745329252 rad |
| degree to gradian | 1.111111111 gon |
| degree to revolution | 0.002777777778 rev |
| degree to second of arc | 3600 ″ |
Frequently asked questions
How many arcminutes are in a degree?
Exactly 60: 1° = 60′, and 1′ = 60″.
How many minutes of arc are in 1 degree?
1 ° = 60 ′.
How do I convert degrees to minutes of arc?
Multiply the value in ° by 60. For example, 0.5 ° × 60 = 30 ′.
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 Degrees to Arcminutes (° to ′). Retrieved October 25, 2026, from https://scientificconverters.com/angle/degrees-to-arcminutes/
IEEE
Scientific Converters, "Convert Degrees to Arcminutes (° to ′)," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/angle/degrees-to-arcminutes/