Arcminutes to Degrees Converter
Convert arcminutes to degrees — divide by sixty. Results update as you type; exact factors shown.
One arcminute is 0.0167 degrees — see the exact factor, not a rounded rule of thumb.
How the arcminutes to degrees converter works
Angles convert through the radian. A full turn is 2π radians = 360° = 400 gon = 6,400 NATO mils. A degree is 60 arcminutes, an arcminute 60 arcseconds.
The UK is metric for most trade and science but keeps miles, pints, stone and mpg (with the imperial gallon) in daily life.
Common angle conversions
| From | To | Units |
|---|---|---|
| 1 ′ | 0.0167 ° | arcminute to degrees |
| 5 ′ | 0.0833 ° | arcminutes to degrees |
| 10 ′ | 0.1667 ° | arcminutes to degrees |
| 15 ′ | 0.25 ° | arcminutes to degrees |
| 30 ′ | 0.5 ° | arcminutes to degrees |
| 31 ′ | 0.5167 ° | arcminutes to degrees |
| 60 ′ | 1 ° | arcminutes to degrees |
| 90 ′ | 1.5 ° | arcminutes to degrees |
| 120 ′ | 2 ° | arcminutes to degrees |
| 180 ′ | 3 ° | arcminutes to degrees |
| 360 ′ | 6 ° | arcminutes to degrees |
| 5,400 ′ | 90 ° | arcminutes to degrees |
Units in this converter and their exact factors
| Unit | Symbol | One unit in radians |
|---|---|---|
| degree | ° | 0.0174532925 radian |
| radian | rad | 1 radian |
| gradian (gon) | gon | 0.0157079633 radian |
| arcminute | ′ | 0.0002908882 radian |
| arcsecond | ″ | 0.0000048481 radian |
| turn (revolution) | rev | 6.2831853072 radian |
| NATO mil (1/6400 turn) | mil | 0.0009817477 radian |
FAQFrequently asked questions about angle conversion
How many arcminutes in a degree?
60.
What is 31 arcminutes?
About 0.52 degrees — the apparent size of the full Moon.
What is 60 arcminutes?
One degree.
Why sixty?
Babylonian base-60 arithmetic, the same reason minutes and seconds divide the hour.
What is human visual acuity?
About one arcminute of resolution for 20/20 vision.
Where these figures come from
- BIPM — The International System of Units (SI Brochure, 9th edition) — definitions of the base and derived units.
- NIST Special Publication 811 — Guide for the Use of the International System of Units — the exact conversion factors used here.
- National Physical Laboratory (NPL) — United Kingdom's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.