How to convert gradians to degrees
° = gon × 0.9
Example: 5 gon × 0.9 = 4.5 °
Gradians to Degrees table
| Gradians (gon) | Degrees (°) |
|---|---|
| 0.5 gon | 0.45 ° |
| 1 gon | 0.9 ° |
| 2 gon | 1.8 ° |
| 3 gon | 2.7 ° |
| 4 gon | 3.6 ° |
| 5 gon | 4.5 ° |
| 6 gon | 5.4 ° |
| 7 gon | 6.3 ° |
| 8 gon | 7.2 ° |
| 9 gon | 8.1 ° |
| 10 gon | 9 ° |
| 15 gon | 13.5 ° |
| 20 gon | 18 ° |
| 25 gon | 22.5 ° |
| 30 gon | 27 ° |
| 40 gon | 36 ° |
| 50 gon | 45 ° |
| 75 gon | 67.5 ° |
| 100 gon | 90 ° |
| 250 gon | 225 ° |
| 500 gon | 450 ° |
| 1,000 gon | 900 ° |
About these units
Gradians (gon): A gradian (gon) is 1/400 of a full turn, so a right angle is 100 gradians. It is used in surveying.
Degrees (°): A degree is 1/360 of a full turn.
Frequently asked questions
How many degrees are in 1 gradian?
1 gradian (gon) equals 0.9 degrees (°).
How do I convert gon to °?
Multiply the value in gradians by 0.9. For example, 5 gon × 0.9 = 4.5 °.
How do I convert degrees back to gradians?
Multiply by 1.111111111 (or divide by 0.9). 1 ° = 1.111111111 gon.
What is a gradian?
A gradian (gon) is 1/400 of a full turn, so a right angle is 100 gradians. It is used in surveying.
Conversion factors come from exact international definitions (NIST SP 811, BIPM) where they exist. Results show up to 10 significant digits. Need every angle unit at once? Use the Angle Converter.