Radians to Degrees Converter
Convert radians to degrees — multiply by 180 and divide by π. Results update as you type; exact factors shown.
One radian is 57.2958 degrees — see the exact factor, not a rounded rule of thumb.
How the radians 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 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 |
|---|---|---|
| 0.5 rad | 28.6479 ° | radians to degrees |
| 1 rad | 57.2958 ° | radian to degrees |
| 1.5708 rad | 90.0002 ° | radians to degrees |
| 2 rad | 114.5916 ° | radians to degrees |
| 3.1416 rad | 179.9998 ° | radians to degrees |
| 4 rad | 229.1831 ° | radians to degrees |
| 4.7124 rad | 270.0006 ° | radians to degrees |
| 6.2832 rad | 359.9997 ° | radians to degrees |
| 0.7854 rad | 45.0001 ° | radians to degrees |
| 1.0472 rad | 60.0001 ° | radians to degrees |
| 0.5236 rad | 30.0001 ° | radians to degrees |
| 10 rad | 572.9578 ° | radians 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
What is the formula?
degrees = radians × 180 ÷ π.
What is 1 radian in degrees?
About 57.2958°.
What is π radians?
180 degrees.
Why does my calculator give strange trig answers?
Almost always because it is in the wrong mode — radians when you meant degrees, or the reverse.
What is 2π?
A full turn, 360 degrees.
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.