1 gradian (gon) = 0.0157079633 radians (rad). To convert, divide by 63.66197724: rad = gon ÷ 63.66197724. For example, 5 gon = 0.0785398163 rad.
rad = gon ÷ 63.66197724
Gradians to radians table
| Gradians (gon) | Radians (rad) |
|---|---|
| 1 | 0.0157079633 |
| 2 | 0.0314159265 |
| 3 | 0.0471238898 |
| 4 | 0.0628318531 |
| 5 | 0.0785398163 |
| 10 | 0.1570796327 |
| 20 | 0.3141592654 |
| 25 | 0.3926990817 |
| 50 | 0.7853981634 |
| 100 | 1.570796327 |
| 250 | 3.926990817 |
| 500 | 7.853981634 |
| 1,000 | 15.70796327 |
The two units
Gradian (gon). One 400th of a full turn, used in some surveying.
Radian (rad). The angle at which the arc equals the radius; a full turn is 2π radians. Programming maths libraries use radians.
Convert gradians to other units
- Gradians to degrees — 1 gon = 0.9 °
- Gradians to arcminutes — 1 gon = 54 ′
- Gradians to arcseconds — 1 gon = 3,240 ″
Convert other units to radians
Questions people ask
- How many radians are in a gradian?
- 0.0157079633.
- How do you convert gradians to radians?
- rad = gon ÷ 63.66197724. It is the same as dividing by 63.66197724.
- How do you convert radians back to gradians?
- gon = rad × 63.66197724. See radians to gradians.
Results use the legal definitions of each unit and are checked against the Pint unit library. Display rounds to 10 significant digits. All unit conversions · More tools
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