Convert Arcminutes to Degrees
1 arcminute is 0.02 °. One arcminute is exactly 0.0166666666667 degrees.
One arcminute is 0.016666667 degrees. To convert arcminutes to degrees, multiply by 0.016666667; to go the other way, divide by 0.016666667 or multiply by 60. The relation is exact but the figure is not: it is a rounding of a number that does not terminate, and it follows from NIST Special Publication 811. A sixtieth of a degree.
Factor checked against the defining standard · How we check
- Arcminutes × 0.016666667
1 * 0.01666670.017 °
1 arcminute in every angle unit
| Unit | Value | Exact factor |
|---|---|---|
| radians | 0.0002908882087 rad | × 0.000290888208666 |
| degrees | 0.01666666667 ° | × 0.0166666666667 |
| gradians | 0.01851851852 gon | × 0.0185185185185 |
| arcminutes (as entered) | 1 ′ | — |
| arcseconds | 60 ″ | × 60 |
| turns | 0.0000462962963 turn | × 0.0000462962962963 |
| milliradians | 0.2908882087 mrad | × 0.290888208666 |
Factors are entered by hand from NIST Special Publication 811 rather than derived from a units library, so the ones that terminate are exact rather than rounded.
How do you convert arcminutes to degrees? The converter and the working
- 1.Take the measurement in arcminutes.
- 2.Multiply by 0.016666667 — that is how many degrees fit in one arcminute.
- 3.To go back the other way, divide by 0.016666667, or multiply by 60.
Worked example: 25 arcminutes to degrees
- Formula
- ′ × 0.016666667 = °
- Arithmetic
- 25 × 0.016666667 = 0.42 °
- Answer
- 25 ′ = 0.42 °
The factor is rounded for display; the figure above is computed from the full value.
Arcminutes to degrees conversion table
| Arcminutes | Degrees |
|---|---|
| 1 ′ | 0.02 ° |
| 2 ′ | 0.03 ° |
| 3 ′ | 0.05 ° |
| 4 ′ | 0.07 ° |
| 5 ′ | 0.08 ° |
| 6 ′ | 0.1 ° |
| 7 ′ | 0.12 ° |
| 8 ′ | 0.13 ° |
| 9 ′ | 0.15 ° |
| 10 ′ | 0.17 ° |
| 12 ′ | 0.2 ° |
| 15 ′ | 0.25 ° |
| 20 ′ | 0.33 ° |
| 25 ′ | 0.42 ° |
| 50 ′ | 0.83 ° |
| 100 ′ | 1.67 ° |
| 200 ′ | 3.33 ° |
| 300 ′ | 5 ° |
| 500 ′ | 8.33 ° |
| 1000 ′ | 16.67 ° |
| 2000 ′ | 33.33 ° |
| 5000 ′ | 83.33 ° |
| 10000 ′ | 166.67 ° |
What is an arcminute?
A sixtieth of a degree. A nautical mile was defined as one arcminute of latitude, which is why the two units keep appearing together on charts.
What is a degree?
A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
How many degrees are in an arcminute?
One arcminute is 0.016666667 degrees. Going the other way, one degree is 60 arcminutes. Both figures come from the same defined relation rather than from a measurement, which is why they are the same today as they were in 1959.
Every angle unit here
The whole group — 7 units with their symbols and the size of each one in radians — is on the conversion index, along with every pair it makes. The table above already gives each of them relative to an arcminute.
Source: NIST Special Publication 811 — the radian, and units accepted for use with the SI
Cite this page
- APA
- Rule Calculator. (2026). Convert Arcminutes to degrees. Rule Calculator. https://rulecalculators.com/convert/arcminute-to-degree
- MLA
- "Convert Arcminutes to degrees." Rule Calculator, August 16, 2026, https://rulecalculators.com/convert/arcminute-to-degree.
- Chicago
- Rule Calculator. "Convert Arcminutes to degrees." Rule Calculator. Last reviewed August 16, 2026. https://rulecalculators.com/convert/arcminute-to-degree.
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Questions people actually ask
- How many degrees are in an arcminute?
- 0.016666667. A 360th of a full turn, inherited from Babylonian astronomy and its base-60 arithmetic. 360 survives because it divides evenly by everything from 2 to 12 except 7.
- How do I convert degrees back to arcminutes?
- Divide by 0.016666667, or multiply by 60 — they are the same operation.
Other angle conversions
Degrees to arcminutes — the same conversion the other way.