Radians to Arcminutes Converter
Convert radians to arcminutes — one radian is 3,437.75 arcminutes. Results update as you type; exact factors shown.
One radian is 3,437.7468 arcminutes — see the exact factor, not a rounded rule of thumb.
How the radians 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 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 |
|---|---|---|
| 0.001 rad | 3.4377 ′ | radians to arcminutes |
| 0.01 rad | 34.3775 ′ | radians to arcminutes |
| 0.1 rad | 343.7747 ′ | radians to arcminutes |
| 0.5 rad | 1,718.8734 ′ | radians to arcminutes |
| 1 rad | 3,437.7468 ′ | radian to arcminutes |
| 1.5708 rad | 5,400.0126 ′ | radians to arcminutes |
| 2 rad | 6,875.4935 ′ | radians to arcminutes |
| 3 rad | 10,313.2403 ′ | radians to arcminutes |
| 3.1416 rad | 10,800.0253 ′ | radians to arcminutes |
| 4 rad | 13,750.9871 ′ | radians to arcminutes |
| 6.2832 rad | 21,600.0505 ′ | radians to arcminutes |
| 10 rad | 34,377.4677 ′ | radians 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 radian?
3,437.75.
Why so many?
A radian is about 57.3 degrees, and each degree holds 60 arcminutes.
What is a milliradian?
About 3.44 arcminutes. It is the standard unit in optics and ballistics.
What is π radians?
10,800 arcminutes — 180 degrees.
Where are arcminutes used?
Astronomy, navigation and optical resolution.
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.