Gradians to degrees converter
Degrees (°)
1 gradian = 0.9 degrees
How to convert gradians to degrees
° = gon × 0.9
Multiply the number of gradians by 0.9 to get degrees. Going the other way, divide by 0.9 (or multiply by 1.11111111111).
One gradian is exactly defined as 0.9 degrees (to 12 significant figures), and one degree is 1.11111111111 gradians.
Worked examples
- Convert 5 gradians: 5 × 0.9 = 4.5 4.5 degrees.
- Convert 12.5 gradians: 12.5 × 0.9 = 11.25 11.25 degrees.
- Convert 250 gradians: 250 × 0.9 = 225 225 degrees.
Quick-reference table
| 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 |
| ° | 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 |
Related conversions
Frequently asked questions
How many degrees are in 1 gradian?
1 gradian equals 0.9 degrees.
What is the formula to convert gradians to degrees?
Use ° = gon × 0.9. Multiply the number of gradians by 0.9 to get degrees. Going the other way, divide by 0.9 (or multiply by 1.11111111111).
What is 100 gradians in degrees?
100 gradians is 90 degrees.