How to convert degrees to gradians
gon = ° × 1.111111111Because one gradian equals 0.9 degrees, you can also divide: gon = ° ÷ 0.9.
A degree is larger than a gradian: one degree contains 1.111111111 gradians.
Worked examples
- 1 degree1 ° × 1.111111111 = 1.111111111 gon
- 5 degrees5 ° × 1.111111111 = 5.555555556 gon
- 10 degrees10 ° × 1.111111111 = 11.11111111 gon
- 20 degrees20 ° × 1.111111111 = 22.22222222 gon
- 100 degrees100 ° × 1.111111111 = 111.1111111 gon
Degrees to gradians conversion table
Values are calculated by the conversion engine and rounded to 8 significant figures.
| Degrees (°) | Gradians (gon) |
|---|---|
| 0.1 ° | 0.11111111 gon |
| 0.25 ° | 0.27777778 gon |
| 0.5 ° | 0.55555556 gon |
| 1 ° | 1.1111111 gon |
| 2 ° | 2.2222222 gon |
| 3 ° | 3.3333333 gon |
| 4 ° | 4.4444444 gon |
| 5 ° | 5.5555556 gon |
| 6 ° | 6.6666667 gon |
| 7 ° | 7.7777778 gon |
| 8 ° | 8.8888889 gon |
| 9 ° | 10 gon |
| 10 ° | 11.111111 gon |
| Degrees (°) | Gradians (gon) |
|---|---|
| 12 ° | 13.333333 gon |
| 15 ° | 16.666667 gon |
| 20 ° | 22.222222 gon |
| 25 ° | 27.777778 gon |
| 30 ° | 33.333333 gon |
| 40 ° | 44.444444 gon |
| 50 ° | 55.555556 gon |
| 75 ° | 83.333333 gon |
| 100 ° | 111.11111 gon |
| 250 ° | 277.77778 gon |
| 500 ° | 555.55556 gon |
| 1,000 ° | 1,111.1111 gon |
About the units
Degree (°)
One 360th of a full turn. One degree equals 0.01745329252 radians (rad).
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).
Frequently asked questions
How many gradians are in one degree?
There are 1.111111111 gradians in one degree, and this value is exact by definition.
How do I convert degrees to gradians?
Multiply the number of degrees by 1.111111111. For example, 10 ° × 1.111111111 = 11.11111111 gon.
How many degrees are in one gradian?
One gradian equals 0.9 degrees. That is the reverse factor, 1 ÷ 1.111111111.
What is 10 degrees in gradians?
10 ° = 11.11111111 gon.
Is this ° to gon 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.