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 US uses customary units (US gallon, short ton, °F) in daily life; NIST SP 811 gives the exact SI factors.
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 Institute of Standards and Technology (NIST) — United States's national measurement authority.
Last checked: September 2026. Conversion factors are fixed by definition and do not change with tax years or regulations.