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.
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 |
|---|---|---|
| 0.5 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 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.