How to convert gradians to degrees
° = gon × 0.9Multiply the value in gradians by 0.9. To go the other way, multiply by 1.111111111 (or divide by 0.9).
A gradian is smaller than a degree: it takes 1.111111111 gradians to make one degree.
Worked examples
- 1 gradian1 gon × 0.9 = 0.9 °
- 5 gradians5 gon × 0.9 = 4.5 °
- 10 gradians10 gon × 0.9 = 9 °
- 20 gradians20 gon × 0.9 = 18 °
- 100 gradians100 gon × 0.9 = 90 °
Gradians to degrees conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Gradians (gon) | Degrees (°) |
|---|---|
| 0.1 gon | 0.09 ° |
| 0.25 gon | 0.225 ° |
| 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 ° |
| Gradians (gon) | Degrees (°) |
|---|---|
| 12 gon | 10.8 ° |
| 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 the units
Gradian (gon)
One 400th of a turn, so a right angle is 100 gon. Used in surveying in some countries. One gradian equals 0.01570796327 radians (rad).
Degree (°)
One 360th of a full turn. One degree equals 0.01745329252 radians (rad).
Frequently asked questions
How many degrees are in one gradian?
There are 0.9 degrees in one gradian, and this value is exact by definition.
How do I convert gradians to degrees?
Multiply the number of gradians by 0.9. For example, 10 gon × 0.9 = 9 °.
How many gradians are in one degree?
One degree equals 1.111111111 gradians. That is the reverse factor, 1 ÷ 0.9.
What is 10 gradians in degrees?
10 gon = 9 °.
Is this gon to ° converter accurate?
Yes. Both units are defined exactly in terms of SI units, so the conversion factor is exact; results are shown to 12 significant figures by default and you can change precision in the converter. Calculations run in your browser using the same tested engine that generated this page.