Gradian to Degree
1 gon = 0.9 °
How to convert gradian to degree
Enter the value in gradian (gon) above and the equivalent in degree (°) 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: Degree to Gradian
Gradian to Degree conversion table
| Gradian (gon) | Degree (°) |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 5 | 4.5 |
| 10 | 9 |
| 25 | 22.5 |
| 50 | 45 |
| 100 | 90 |
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 degrees is 1 gradian?
1 gradian = 0.9 degrees.
What is the formula to convert gradian to degrees?
The formula is: ° = gon × 0.9.
What is 10 gradians in degrees?
10 gradians = 9 degrees.