One degree is 60 arcminutes. Astronomers, surveyors and shooters (MOA, minute of angle) use arcminutes for small angles.
How to use the Degrees to Arcminutes Converter
- Type the number of degrees into the Degrees field. Decimals such as 0.5 are fine.
- Read the answer in Arcminutes – it updates as you type, with no button to press.
- To convert the other way, type into Arcminutes and the degrees are recalculated.
- Press Copy results to copy both values with the page title, or Copy link to share this exact conversion.
This page converts only ° ⇄ ′. Need a different unit? Use the general angle converter, where you can choose any “from” and “to” unit.
How it works
Both units measure angle, so they are always in the same ratio: one degree equals 60 arcminutes. The calculator multiplies the number of degrees you type by 60 to give arcminutes, and when you type into the arcminutes field it divides by the same factor to give degrees. Because the ratio never changes, doubling the degrees always doubles the arcminutes. Results are calculated at full precision and rounded only for display (up to eight decimal places, with very large or small values shown in scientific notation).
How to convert degrees to arcminutes
- Write down the value in degrees, for example 1 °.
- Multiply by the conversion factor 60 (because 1 degree = 60 ′).
- 1 × 60 = 60 ′.
- To go back from arcminutes to degrees, divide by 60 – or multiply by 0.016666667.
° to ′ conversion table
| Degrees | Arcminutes | Arcminutes | Degrees |
|---|---|---|---|
| 0.1 ° | 6 ′ | 1 ′ | 0.016666667 ° |
| 0.25 ° | 15 ′ | 2 ′ | 0.033333333 ° |
| 0.5 ° | 30 ′ | 5 ′ | 0.083333333 ° |
| 1 ° | 60 ′ | 10 ′ | 0.16666667 ° |
| 1.5 ° | 90 ′ | 20 ′ | 0.33333333 ° |
| 2 ° | 120 ′ | 50 ′ | 0.83333333 ° |
| 5 ° | 300 ′ | 100 ′ | 1.6666667 ° |
| 10 ° | 600 ′ | 1,000 ′ | 16.666667 ° |
What is a degree?
A degree is 1/360 of a full turn. Navigation, construction and geometry use degrees.
What is an arcminute?
An arcminute is 1/60 of a degree. Map coordinates and shooting (MOA, minute of angle) use arcminutes.
Common mistakes to avoid
Feeding degrees into a calculator set to radians (or the reverse), and reading decimal degrees as degrees and minutes.
Formula
1 ° = 60 ′1 ′ = 0.016666667 °′ = ° × 60Worked example
Inputs — Degrees: 1 °.
Results — Arcminutes = 60 ′.
Frequently asked questions
How many arcminutes in a degree?
60.
What is 1 MOA at 100 yards?
About 1.047 inches.
How do I convert degrees to arcminutes?
Multiply the number of degrees by 60. For example, 1 ° × 60 = 60 ′.
How do I convert arcminutes back to degrees?
Divide by 60 (or multiply by 0.016666667), or simply type the value into the arcminutes field above.
What is 10 ° in arcminutes?
10 ° = 600 ′.
What is 5 ° in arcminutes?
5 ° = 300 ′.
Is this conversion exact?
Yes. The factor comes from the official definitions of both units (NIST and the SI), so the only difference you may see is rounding in the last displayed digit.
Can I convert to other units on this page?
This page converts only between degrees and arcminutes. To pick any angle unit, use the general angle converter linked under Related calculators.
What formula does the Degrees to Arcminutes Converter use?
1 ° = 60 ′.