Convert Radians to Gradians
rad to grad · angle conversion
What are radians and gradians?
A radian is the angle where the arc length equals the radius; a full circle is 2π radians. A gradian divides a right angle into 100 parts, so a full circle is 400 gradians. For reference: a right angle is 90° (π/2 radians), and a full turn is 360° (2π radians).
How to convert radians to gradians
1 rad = 63.662 grad. To convert, multiply the number of radians by 63.662. For example, 5 rad = 318.31 grad, and 20 rad = 1,273.24 grad. To go the other way, multiply gradians by 0.015708 (since 1 grad = 0.015708 rad).
Radians to Gradians conversion table
| Radians (rad) | Gradians (grad) |
|---|---|
| 1 | 63.662 |
| 15 | 954.93 |
| 30 | 1,909.86 |
| 45 | 2,864.79 |
| 90 | 5,729.58 |
| 180 | 11,459.2 |
| 360 | 22,918.3 |
FAQ
What is 1 rad in grad?
1 rad = 63.662 grad. To convert any amount, multiply the number of radians by 63.662.
How do I convert gradians back to radians?
Go the other way: 1 grad = 0.015708 rad, so multiply gradians by 0.015708 to get radians.
Is a radian bigger than a gradian?
Yes — 1 rad is the larger unit, equal to 63.662 grad.
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.