Gradians to Degrees Converter
How to convert gradians to degrees
degrees = gradians ÷ 1.11111111
To convert gradians to degrees, divide the number of gradians by 1.11111111.
1 gon = 0.9°
Examples
- A right angle: 100 gon ÷ 1.11111111 = 90°
- A full turn: 400 gon ÷ 1.11111111 = 360°
Good to know
A full turn is 360 degrees or 400 gradians, so one gradian is exactly 0.9 degrees and a right angle is 100 gradians.
The gradian is the "GRAD" mode on scientific calculators. It is not the same as a degree, and it is unrelated to the percent grade of a slope.
Gradians to degrees conversion table
| Gradians (gon) | Degrees (°) |
|---|---|
| 1 gon | 0.9° |
| 10 gon | 9° |
| 25 gon | 22.5° |
| 50 gon | 45° |
| 75 gon | 67.5° |
| 100 gon | 90° |
| 150 gon | 135° |
| 200 gon | 180° |
| 250 gon | 225° |
| 300 gon | 270° |
| 350 gon | 315° |
| 400 gon | 360° |
Unit definitions
- Gradian (gon)
- A gradian, also called a gon or grad, is 1/400 of a full turn, exactly 0.9 degrees, so a right angle is 100 gradians. It is used in surveying, mainly in continental Europe.
- Degree (°)
- A degree is 1/360 of a full turn. It is the everyday unit of angle, used in geometry, navigation and geographic coordinates.