Degrees to Gradians converter
Convert degrees (°) to gradians (grad) — results update instantly as you type.
Degrees to Gradians
To
1 ° = 1.11111111 grad
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How to convert Degrees 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
° × 1.1111111111 = grad
Multiply your degrees value by 1.1111111111 to get gradians. For the reverse, divide by the same factor.
Degrees to Gradians conversion table
| Degrees | Gradians |
|---|---|
| 1 ° | 1.111111 grad |
| 2 ° | 2.222222 grad |
| 5 ° | 5.555556 grad |
| 10 ° | 11.111111 grad |
| 25 ° | 27.777778 grad |
| 100 ° | 111.111111 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.