Degree to Gradian
1 ° = 1.1111111111 gon
How to convert degree to gradian
Enter the value in degree (°) above and the equivalent in gradian (gon) updates as you type. This conversion comes up when programming: graphics libraries often want radians while design tools show degrees.
- A right angle: 90°, about 1.57 radians (π/2) → that is 100 gon in gradian.
- A 45° roof pitch is a 50% (100 gon/2) slope guide → that is 50 gon in gradian.
Typical situations: machining and carpentry specs mixing degrees and gradians; navigation: bearings and compass readings.
You can also convert in the other direction: Gradian to Degree
Degree to Gradian conversion table
| Degree (°) | Gradian (gon) |
|---|---|
| 1 | 1.111111 |
| 2 | 2.222222 |
| 5 | 5.555556 |
| 10 | 11.111111 |
| 25 | 27.777778 |
| 50 | 55.555556 |
| 100 | 111.111111 |
Watch out for
- Radians are dimensionless, which is why calculus uses them; degree-based formulas break in derivatives
- Gradians (400 per circle) appear mainly on European construction calculators
Frequently asked questions
How many gradians is 1 degree?
1 degree = 1.111111 gradians.
What is the formula to convert degree to gradians?
The formula is: gon = ° × 1.111111.
What is 10 degrees in gradians?
10 degrees = 11.111111 gradians.