Radians to Gradians Converter
1 radian ≈ 63.6619772 gradians
1 radian equals 63.662 gradians
How to convert radians to gradians
One full turn is 360° = 2π rad = 400 gon. A minute or second of arc is an angular unit, distinct from time; decimal displays of factors involving π are approximate.
gon = rad ÷ 0.01570796327One gradian corresponds to 0.01570796327 radians, so divide by that figure. Displayed constants may be rounded; the converter uses the stored factor before rounding the result.
636.62 gon ≈ 10 ÷ 0.01570796327Radians to gradians conversion table
Common values in radians, converted to gradians.
| Radians (rad) | Gradians (gon) |
|---|---|
| 1 | 63.661977 |
| 5 | 318.30989 |
| 10 | 636.61977 |
| 30 | 1,909.8593 |
| 45 | 2,864.789 |
| 60 | 3,819.7186 |
| 90 | 5,729.578 |
| 180 | 11,459.156 |
| 360 | 22,918.312 |
About these units
radianrad
The SI unit of plane angle: the angle subtending an arc equal to the radius.
gradiangon
One 400th of a full turn, so a right angle is exactly 100 gon. Used in surveying.
Sources and precision
Table results are rounded to 8 significant digits; formula constants may be rounded to 10. Worked example answers use 6 significant digits. The converter starts at 6 significant digits and lets you change display precision. Calculations use the stored factors without intermediate rounding. Exact unit definitions do not make an input measurement more precise; conventional and measured factors follow the assumptions stated here.