Radians to Gradians converter
Convert radians (rad) to gradians (grad) — results update instantly as you type.
Radians to Gradians
To
1 rad = 63.66197724 grad
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How to convert Radians to Gradians
Angles are measured in degrees in everyday life, radians in mathematics and programming, and gradians in surveying. A full circle is 360 degrees, 2π radians, or 400 gradians.
One radian is about 57.2958 degrees — the angle where the arc length equals the radius. To convert degrees to radians, multiply by π/180; to go back, multiply by 180/π.
Formula
rad × 63.6619772368 = grad
Multiply your radians value by 63.6619772368 to get gradians. For the reverse, divide by the same factor.
Radians to Gradians conversion table
| Radians | Gradians |
|---|---|
| 1 rad | 63.661977 grad |
| 2 rad | 127.323954 grad |
| 5 rad | 318.309886 grad |
| 10 rad | 636.619772 grad |
| 25 rad | 1,591.549431 grad |
| 100 rad | 6,366.197724 grad |
Common use cases
- Trigonometry homework between degrees and radians
- Programming (most math libraries use radians)
- Surveying and civil engineering with gradians
- GPS bearing and navigation calculations
Frequently asked questions
Exactly π radians (about 3.14159). A full 360° circle is 2π radians.