Gradians to Radians Converter
How to convert gradians to radians
radians = gradians ÷ 63.6619772
To convert gradians to radians, divide the number of gradians by 63.6619772.
1 gon = 0.0157079633 rad
Examples
- A right angle: 100 gon ÷ 63.6619772 = 1.57079633 rad
- A full turn: 400 gon ÷ 63.6619772 = 6.28318531 rad
Good to know
The gradian is the "GRAD" mode on scientific calculators. It is not the same as a degree, and it is unrelated to the percent grade of a slope.
Gradians to radians conversion table
| Gradians (gon) | Radians (rad) |
|---|---|
| 1 gon | 0.0157079633 rad |
| 10 gon | 0.157079633 rad |
| 25 gon | 0.392699082 rad |
| 50 gon | 0.785398163 rad |
| 75 gon | 1.17809725 rad |
| 100 gon | 1.57079633 rad |
| 150 gon | 2.35619449 rad |
| 200 gon | 3.14159265 rad |
| 250 gon | 3.92699082 rad |
| 300 gon | 4.71238898 rad |
| 350 gon | 5.49778714 rad |
| 400 gon | 6.28318531 rad |
Unit definitions
- Gradian (gon)
- A gradian, also called a gon or grad, is 1/400 of a full turn, exactly 0.9 degrees, so a right angle is 100 gradians. It is used in surveying, mainly in continental Europe.
- Radian (rad)
- The radian is the SI unit of angle: the angle at the center of a circle subtended by an arc equal in length to the radius. A full turn is 2π radians, so one radian is 180/π degrees, about 57.2958°.