The arcminute
The arcminute (′) equals 1/60 of a degree. It is used in astronomy, navigation, and optics to express small angular sizes and precision beyond whole degrees — one nautical mile is defined as one arcminute of latitude.
Arcminutes to Degrees Converter
1 ′ = 0.0166667 ° (arcminute → degree)
1 ′ = 0.0166667 °
1 arcminute equals 0.0166667 degrees. To convert arcminutes to degrees, multiply the arcminute value by 0.0166667. For quick reference: 1 ′ = 0.0166667 °, 5 ′ = 0.0833333 °, 10 ′ = 0.166667 °, 100 ′ = 1.66667 °.
Formula
Degrees = Arcminutes × 0.0166667Quick
How to convert arcminutes to degrees
Take your value
Start with your value in arcminutes.
Multiply by 0.0166667
Multiply the arcminute value by 0.0166667. This is the exact conversion factor from arcminutes to degrees.
Read the result
The product is your value in degrees. For example, 5 ′ × 0.0166667 = 0.0833333 °.
Conversion formula
The exact factor from arcminutes to degrees is 0.0166667.
Degrees = Arcminutes × 0.0166667
Arcminutes to Degrees conversion table
Fifty common reference values, hand-picked for skim utility. Use the calculator above for any value not listed.
| Arcminutes (′) | Degrees (°) |
|---|---|
| 0.1 ′ | 0.0016667 ° |
| 0.25 ′ | 0.0041667 ° |
| 0.5 ′ | 0.0083333 ° |
| 1 ′ | 0.016667 ° |
| 2 ′ | 0.033333 ° |
| 3 ′ | 0.05 ° |
| 4 ′ | 0.066667 ° |
| 5 ′ | 0.083333 ° |
| 6 ′ | 0.1 ° |
| 7 ′ | 0.11667 ° |
| 8 ′ | 0.13333 ° |
| 9 ′ | 0.15 ° |
| 10 ′ | 0.16667 ° |
| 11 ′ | 0.18333 ° |
| 12 ′ | 0.2 ° |
| 13 ′ | 0.21667 ° |
| 14 ′ | 0.23333 ° |
| 15 ′ | 0.25 ° |
| 16 ′ | 0.26667 ° |
| 18 ′ | 0.3 ° |
| 20 ′ | 0.33333 ° |
| 22 ′ | 0.36667 ° |
| 24 ′ | 0.4 ° |
| 25 ′ | 0.41667 ° |
| 28 ′ | 0.46667 ° |
| 30 ′ | 0.5 ° |
| 32 ′ | 0.53333 ° |
| 36 ′ | 0.6 ° |
| 40 ′ | 0.66667 ° |
| 45 ′ | 0.75 ° |
| 48 ′ | 0.8 ° |
| 50 ′ | 0.83333 ° |
| 60 ′ | 1 ° |
| 70 ′ | 1.1667 ° |
| 75 ′ | 1.25 ° |
| 80 ′ | 1.3333 ° |
| 90 ′ | 1.5 ° |
| 100 ′ | 1.6667 ° |
| 125 ′ | 2.0833 ° |
| 150 ′ | 2.5 ° |
| 200 ′ | 3.3333 ° |
| 250 ′ | 4.1667 ° |
| 300 ′ | 5 ° |
| 400 ′ | 6.6667 ° |
| 500 ′ | 8.3333 ° |
| 600 ′ | 10 ° |
| 750 ′ | 12.5 ° |
| 800 ′ | 13.333 ° |
| 900 ′ | 15 ° |
| 1000 ′ | 16.667 ° |
Real-world reference
The full moon spans about 31 arcminutes across the sky. One arcminute of latitude corresponds to one nautical mile. In degrees, that gives you: 1 ′ = 0.0166667 °, 10 ′ = 0.166667 °, 100 ′ = 1.66667 °.
Frequently asked questions
- How many degrees are in 1 arcminute?
- 1 arcminute equals 0.0166667 degrees.
- How do I convert arcminutes to degrees?
- Multiply the arcminute value by 0.0166667. So x ′ × 0.0166667 = the equivalent in °.
- What is 5 arcminutes in degrees?
- 5 arcminutes equals 0.0833333 degrees.
- What is 10 arcminutes in degrees?
- 10 arcminutes equals 0.166667 degrees.
- What is 100 arcminutes in degrees?
- 100 arcminutes equals 1.66667 degrees.
- How do I convert back from degrees to arcminutes?
- Multiply the degree value by 60. For example, 1 ° = 60 ′.
- Is the arcminute bigger than the degree?
- No. 1 arcminute is smaller than 1 degree. It takes 60 arcminutes to equal 1 degree.
- Are these conversion factors exact?
- The factor is derived directly from the SI definitions of arcminute and degree; the displayed value is rounded for readability, and the browser computes using IEEE 754 double-precision arithmetic.
About the arcminute and the degree
The degree
The degree (°) divides a full rotation into 360 equal parts, a convention traced to Babylonian sexagesimal astronomy. It is the everyday unit for angles in navigation, geography (latitude/longitude), construction, and general use.