Gradians to Radians converter
Convert gradians (grad) to radians (rad) — results update instantly as you type.
Gradians to Radians
To
1 grad = 0.01570796 rad
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How to convert Gradians to Radians
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
grad × 0.0157079633 = rad
Multiply your gradians value by 0.0157079633 to get radians. For the reverse, divide by the same factor.
Gradians to Radians conversion table
| Gradians | Radians |
|---|---|
| 1 grad | 0.015708 rad |
| 2 grad | 0.031416 rad |
| 5 grad | 0.07854 rad |
| 10 grad | 0.15708 rad |
| 25 grad | 0.392699 rad |
| 100 grad | 1.570796 rad |
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.