Radians to Gradians Converter

Convert angle measurements from radians to gradians (gons). Convert between the mathematical standard unit and the metric angle system.

radians (rad)
Result
0 grad

Common Radians to Gradians Conversions

Radians (rad)Gradians (grad)
π/4 (0.7854)50 grad
π/2 (1.5708)100 grad
π (3.1416)200 grad
3π/2 (4.7124)300 grad
2π (6.2832)400 grad

How to Convert Radians to Gradians

To convert radians to gradians, multiply by 200/π.

The Conversion Formula

gradians = radians × (200 / π)

Simplified:

gradians = radians × 63.66198

Example: Converting π/2 Radians to Gradians

gradians = 1.5708 rad × 63.66198 = 100 grad

Why Convert Between These Units?

Radians are used in mathematical calculations, while gradians are preferred in European surveying. Converting between them allows using data from different sources.