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 US uses customary units (US gallon, short ton, °F) in daily life; NIST SP 811 gives the exact SI factors.
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 Institute of Standards and Technology (NIST) — United States's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.