Gradians to radians – convert grad to rad
Convert gradians to radians (grad to rad) so that surveying-style or navigation angles can be dropped straight into trigonometry, calculus or physics formulas that expect radians.
Open the interactive grad → rad converter:
Use main converter (grad → rad) or switch to rad → gradThe angle converter also supports degrees and turns, so you can move between °, rad, grad and full turns in a single place.
Quick reference: gradians to radians
A full turn is 400 grad or 2π rad, so one grad equals π/200 rad (about 0.015708 rad). Some common values:
| Gradians (grad) | Radians (rad, approx.) |
|---|---|
| 50 grad | ≈ 0.7854 rad |
| 100 grad | ≈ 1.5708 rad |
| 200 grad | ≈ 3.1416 rad |
| 300 grad | ≈ 4.7124 rad |
| 400 grad | ≈ 6.2832 rad |
Why convert gradians to radians?
grad to rad is useful when you:
- Take angle readings from surveying or navigation equipment into formulas.
- Use historical or region-specific data stored in gradians with modern tools.
- Compare gradian-based bearings to radian-based phase or rotation values.
- Explain how one full turn maps to 360°, 2π rad and 400 grad.
Other angle converters on this site
All angle conversions use a shared base of one full turn, so whether you convert via degrees, gradians or radians you land on the same result.
Page last updated: 4 December 2025.