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.
Australia is fully metric under the National Measurement Act 1960; imperial units appear only in trade with the US and in older documents.
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 Measurement Institute (NMI) — Australia's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.