Convert gradians to radians
1 grad = 0.01570796 rad. Change the amount below, or read the formula and the reference table further down.
1 gradian equals
radians
1 grad = 0.01570796 rad
The formula
Gradians and radians both measure angle from the same zero, so a single multiplier does the job.
rad = grad × 0.0157079633
Going the other way? Convert radians to gradians.
Gradians to radians table
Common values, rounded for reading.
| Gradians (grad) | Radians (rad) |
|---|---|
| 1 | 0.015708 |
| 2 | 0.031416 |
| 3 | 0.047124 |
| 4 | 0.062832 |
| 5 | 0.07854 |
| 6 | 0.094248 |
| 7 | 0.109956 |
| 8 | 0.125664 |
| 9 | 0.141372 |
| 10 | 0.15708 |
| 15 | 0.235619 |
| 20 | 0.314159 |
| 25 | 0.392699 |
| 30 | 0.471239 |
| 40 | 0.628319 |
| 50 | 0.785398 |
| 75 | 1.1781 |
| 100 | 1.5708 |
| 250 | 3.927 |
| 500 | 7.854 |
| 1,000 | 15.708 |
Questions people ask
- How many radians are in a gradian?
- One gradian equals 0.0157079633 radians.
- How do I convert gradians to radians by hand?
- Multiply the number of gradians by 0.0157079633. For a rough check, 0.016 is close enough for most everyday use.
- What is 1 gradian in radians?
- 1 gradian is 0.01570796 radians.
Calcuit generates this page from a unit table, so the factors here match every other page on the site.