How do you convert gradians to radians?
Multiply gradians by π/200 to get radians (exact).
Detailed answer
A right angle is 100 gradians and π/2 radians, so 1 grad = π/200 rad. A full turn is 400 grad = 2π rad.
Relationship context
Some CAD and surveying modes use gradians while physics libraries expect radians.
Quick conversion table
| Gradian (grad) | Radian (rad) |
|---|---|
| 0.1 | 0.0015707963 |
| 1 | 0.0157079633 |
| 2 | 0.0314159265 |
| 3 | 0.0471238898 |
| 4 | 0.0628318531 |
| 5 | 0.0785398163 |
| 6 | 0.0942477796 |
| 7 | 0.1099557429 |
| 8 | 0.1256637061 |
| 9 | 0.1413716694 |
| Gradian (grad) | Radian (rad) |
|---|---|
| 10 | 0.1570796327 |
| 20 | 0.3141592654 |
| 30 | 0.471238898 |
| 40 | 0.6283185307 |
| 50 | 0.7853981634 |
| 60 | 0.9424777961 |
| 70 | 1.0995574288 |
| 80 | 1.2566370614 |
| 90 | 1.4137166941 |
| 100 | 1.5707963268 |
More Gradian converters
Dedicated pages from Gradian to every other hub angle unit (turn, deg, arcmin, arcsec, grad, rad, mrad, mil).
- grad to turn (Gradian to Revolution)
- grad to quadrant (Gradian to Quadrant)
- grad to sextant (Gradian to Sextant)
- grad to deg (Gradian to Degree)
- grad to arcmin (Gradian to Arc Minute)
- grad to moa (Gradian to Minute of Angle (MOA))
- grad to arcsec (Gradian to Arc Second)
- grad to rad (Gradian to Radian)
- grad to mrad (Gradian to Milliradian)
- grad to urad (Gradian to Microradian)
- grad to mil (Gradian to Mil)