Radians to Gradians Converter
Convert radians to gradians — 200 gradians to π radians. Results update as you type; exact factors shown.
One radian is 63.662 gradian (gon) — see the exact factor, not a rounded rule of thumb.
How the radians to gradians 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 |
|---|---|---|
| 0.1 rad | 6.3662 gon | radians to gradian (gon) |
| 0.5 rad | 31.831 gon | radians to gradian (gon) |
| 1 rad | 63.662 gon | radian to gradian (gon) |
| 1.5708 rad | 100.0002 gon | radians to gradian (gon) |
| 2 rad | 127.324 gon | radians to gradian (gon) |
| 3 rad | 190.9859 gon | radians to gradian (gon) |
| 3.1416 rad | 200.0005 gon | radians to gradian (gon) |
| 4 rad | 254.6479 gon | radians to gradian (gon) |
| 5 rad | 318.3099 gon | radians to gradian (gon) |
| 6.2832 rad | 400.0009 gon | radians to gradian (gon) |
| 8 rad | 509.2958 gon | radians to gradian (gon) |
| 10 rad | 636.6198 gon | radians to gradian (gon) |
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 gradians in a radian?
63.662 gradians.
What is a gradian?
A hundredth of a right angle, so 400 to a full turn. It exists to make a right angle a round 100.
Who uses gradians?
Surveying in parts of Europe, and some calculators offer it as a third angle mode.
What is π/2 radians in gradians?
100 gradians — exactly one right angle.
What is a radian?
The angle where the arc equals the radius: about 57.3 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.