Arcminutes to Radians Converter
Convert arcminutes to radians — divide by 3,437.75. Results update as you type; exact factors shown.
One arcminute is 0.0003 radians — see the exact factor, not a rounded rule of thumb.
How the arcminutes to radians 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 ′ | 0.0003 rad | arcminute to radians |
| 10 ′ | 0.0029 rad | arcminutes to radians |
| 30 ′ | 0.0087 rad | arcminutes to radians |
| 60 ′ | 0.0175 rad | arcminutes to radians |
| 100 ′ | 0.0291 rad | arcminutes to radians |
| 360 ′ | 0.1047 rad | arcminutes to radians |
| 600 ′ | 0.1745 rad | arcminutes to radians |
| 1,000 ′ | 0.2909 rad | arcminutes to radians |
| 3,437.75 ′ | 1 rad | arcminutes to radians |
| 5,400 ′ | 1.5708 rad | arcminutes to radians |
| 10,800 ′ | 3.1416 rad | arcminutes to radians |
| 21,600 ′ | 6.2832 rad | arcminutes to radians |
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 radians is one arcminute?
0.000291 rad.
What is 3,437.75 arcminutes?
One radian.
What is 21,600 arcminutes?
A full turn — 2π radians.
Why convert to radians?
Because every trigonometric function in mathematics and software expects them.
What is one arcminute of resolution?
About the limit of unaided human vision — 20/20 acuity.
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.