Degrees to Arcminutes Converter
Convert degrees to arcminutes — sixty arcminutes to the degree. Results update as you type; exact factors shown.
One degree is 60 arcminutes — see the exact factor, not a rounded rule of thumb.
How the degrees to arcminutes 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 |
|---|---|---|
| 0.1 ° | 6 ′ | degrees to arcminutes |
| 0.25 ° | 15 ′ | degrees to arcminutes |
| 0.5 ° | 30 ′ | degrees to arcminutes |
| 1 ° | 60 ′ | degree to arcminutes |
| 2 ° | 120 ′ | degrees to arcminutes |
| 5 ° | 300 ′ | degrees to arcminutes |
| 10 ° | 600 ′ | degrees to arcminutes |
| 15 ° | 900 ′ | degrees to arcminutes |
| 30 ° | 1,800 ′ | degrees to arcminutes |
| 45 ° | 2,700 ′ | degrees to arcminutes |
| 90 ° | 5,400 ′ | degrees to arcminutes |
| 180 ° | 10,800 ′ | degrees to arcminutes |
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?
Exactly 60.
Where are arcminutes used?
Astronomy, navigation and optics, where angles are small and degrees too coarse.
What is 1 arcminute of latitude?
One nautical mile — which is where that unit comes from.
What is the Moon's angular size?
About 31 arcminutes, or half a degree.
What is an arcsecond?
A sixtieth of an arcminute, so 3,600 to the degree.
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.