Convert Gradians to Radians
grad to rad · angle conversion
What are gradians and radians?
A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. A radian is the angle where the arc length equals the radius; a full circle is 2π radians. For reference: a right angle is 90° (π/2 radians), and a full turn is 360° (2π radians).
How to convert gradians to radians
1 grad = 0.015708 rad. To convert, multiply the number of gradians by 0.015708. For example, 5 grad = 0.0785398 rad, and 20 grad = 0.314159 rad. To go the other way, multiply radians by 63.662 (since 1 rad = 63.662 grad).
Gradians to Radians conversion table
| Gradians (grad) | Radians (rad) |
|---|---|
| 1 | 0.015708 |
| 15 | 0.235619 |
| 30 | 0.471239 |
| 45 | 0.706858 |
| 90 | 1.41372 |
| 180 | 2.82743 |
| 360 | 5.65487 |
FAQ
What is 1 grad in rad?
1 grad = 0.015708 rad. To convert any amount, multiply the number of gradians by 0.015708.
How do I convert radians back to gradians?
Go the other way: 1 rad = 63.662 grad, so multiply radians by 63.662 to get gradians.
Is a gradian bigger than a radian?
No — 1 grad is the smaller unit, equal to 0.015708 rad (it takes 63.662 grad to make one rad).
Are these angle conversions exact?
They use the standard internationally-defined conversion factors. Results are rounded to six significant figures for readability, which is accurate enough for everyday and most technical use.