Radians to gradians – convert rad to grad
Convert radians to gradians (rad to grad) to move between maths-friendly angle measures and surveying-style angles. Helpful if your formulas use radians but your instruments or tables use gradians (also called gons).
Open the interactive rad → grad converter:
Use main converter (rad → grad) or switch to grad → radThe angle converter also supports degrees and turns for everyday and full-circle work.
Quick reference: radians to gradians
A full circle is 2π radians or 400 gradians. That means one radian equals about 63.662 gradians. Some common angles:
| Radians (rad) | Gradians (grad, approx.) |
|---|---|
| π/6 ≈ 0.524 | 33.333 grad |
| π/4 ≈ 0.785 | 50 grad |
| π/3 ≈ 1.047 | 66.667 grad |
| π/2 ≈ 1.571 | 100 grad |
| π ≈ 3.142 | 200 grad |
| 2π ≈ 6.283 | 400 grad |
Why convert radians to gradians?
rad to grad is useful when you:
- Design formulas or simulations in radians but work with gradian-based tables.
- Translate between surveying instruments and trig/physics calculations.
- Switch from calculator results in radians to gradians for documentation.
- Teach the relationships between degrees, radians, gradians and turns.
Other angle converters on this site
All angle conversions use a full turn = 360° = 2π rad = 400 grad, so values stay consistent whichever path you convert along.
Page last updated: 4 December 2025.