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.
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 |
|---|---|---|
| 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 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.