Gradians to Radians Converter
Convert gradians to radians — 100 gradians is π/2. Results update as you type; exact factors shown.
One gradian (gon) is 0.0157 radians — see the exact factor, not a rounded rule of thumb.
How the gradians 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 |
|---|---|---|
| 10 gon | 0.1571 rad | gradian (gon) to radians |
| 25 gon | 0.3927 rad | gradian (gon) to radians |
| 50 gon | 0.7854 rad | gradian (gon) to radians |
| 100 gon | 1.5708 rad | gradian (gon) to radians |
| 150 gon | 2.3562 rad | gradian (gon) to radians |
| 200 gon | 3.1416 rad | gradian (gon) to radians |
| 250 gon | 3.927 rad | gradian (gon) to radians |
| 300 gon | 4.7124 rad | gradian (gon) to radians |
| 350 gon | 5.4978 rad | gradian (gon) to radians |
| 400 gon | 6.2832 rad | gradian (gon) to radians |
| 500 gon | 7.854 rad | gradian (gon) to radians |
| 1,000 gon | 15.708 rad | gradian (gon) 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 100 gradians?
π/2, about 1.5708 — one right angle.
How many gradians in a full turn?
400.
Why was the gradian invented?
During French metrication, to give the right angle a round value of 100.
Is it still used?
Rarely — surveying in some European countries, and as a calculator mode.
What is 400 gradians in radians?
2π, a full turn.
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.