Gradians to radians converter
Radians (rad)
1 gradian = 0.01570796327 radians
How to convert gradians to radians
rad = gon × 0.0157079632679
Multiply the number of gradians by 0.0157079632679 to get radians. Going the other way, divide by 0.0157079632679 (or multiply by 63.6619772368).
One gradian is exactly defined as 0.0157079632679 radians (to 12 significant figures), and one radian is 63.6619772368 gradians.
Worked examples
- Convert 5 gradians: 5 × 0.0157079632679 = 0.07853981634 0.07853981634 radians.
- Convert 12.5 gradians: 12.5 × 0.0157079632679 = 0.1963495408 0.1963495408 radians.
- Convert 250 gradians: 250 × 0.0157079632679 = 3.926990817 3.926990817 radians.
Quick-reference table
| gon | rad |
|---|---|
| 1 | 0.01570796327 |
| 2 | 0.03141592654 |
| 3 | 0.0471238898 |
| 5 | 0.07853981634 |
| 10 | 0.1570796327 |
| 15 | 0.235619449 |
| 20 | 0.3141592654 |
| 25 | 0.3926990817 |
| 50 | 0.7853981634 |
| 75 | 1.178097245 |
| 100 | 1.570796327 |
| 1,000 | 15.70796327 |
| rad | gon |
|---|---|
| 1 | 63.66197724 |
| 2 | 127.3239545 |
| 3 | 190.9859317 |
| 5 | 318.3098862 |
| 10 | 636.6197724 |
| 15 | 954.9296586 |
| 20 | 1,273.239545 |
| 25 | 1,591.549431 |
| 50 | 3,183.098862 |
| 75 | 4,774.648293 |
| 100 | 6,366.197724 |
| 1,000 | 63,661.97724 |
Related conversions
Frequently asked questions
How many radians are in 1 gradian?
1 gradian equals 0.01570796327 radians.
What is the formula to convert gradians to radians?
Use rad = gon × 0.0157079632679. Multiply the number of gradians by 0.0157079632679 to get radians. Going the other way, divide by 0.0157079632679 (or multiply by 63.6619772368).
What is 100 gradians in radians?
100 gradians is 1.570796327 radians.