Degrees to gradians converter
Gradians (gon)
1 degree = 1.111111111 gradians
How to convert degrees to gradians
gon = ° × 1.11111111111
Multiply the number of degrees by 1.11111111111 to get gradians. Going the other way, divide by 1.11111111111 (or multiply by 0.9).
One degree is exactly defined as 1.11111111111 gradians (to 12 significant figures), and one gradian is 0.9 degrees.
Worked examples
- Convert 5 degrees: 5 × 1.11111111111 = 5.555555556 5.555555556 gradians.
- Convert 12.5 degrees: 12.5 × 1.11111111111 = 13.88888889 13.88888889 gradians.
- Convert 250 degrees: 250 × 1.11111111111 = 277.7777778 277.7777778 gradians.
Quick-reference table
| ° | gon |
|---|---|
| 1 | 1.111111111 |
| 2 | 2.222222222 |
| 3 | 3.333333333 |
| 5 | 5.555555556 |
| 10 | 11.11111111 |
| 15 | 16.66666667 |
| 20 | 22.22222222 |
| 25 | 27.77777778 |
| 50 | 55.55555556 |
| 75 | 83.33333333 |
| 100 | 111.1111111 |
| 1,000 | 1,111.111111 |
| gon | ° |
|---|---|
| 1 | 0.9 |
| 2 | 1.8 |
| 3 | 2.7 |
| 5 | 4.5 |
| 10 | 9 |
| 15 | 13.5 |
| 20 | 18 |
| 25 | 22.5 |
| 50 | 45 |
| 75 | 67.5 |
| 100 | 90 |
| 1,000 | 900 |
Related conversions
Frequently asked questions
How many gradians are in 1 degree?
1 degree equals 1.111111111 gradians.
What is the formula to convert degrees to gradians?
Use gon = ° × 1.11111111111. Multiply the number of degrees by 1.11111111111 to get gradians. Going the other way, divide by 1.11111111111 (or multiply by 0.9).
What is 100 degrees in gradians?
100 degrees is 111.1111111 gradians.