Gradians to Radians Converter
1 gradian ≈ 0.0157079633 radians
1 gradian equals 0.015708 radians
How to convert gradians to radians
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.
rad = gon × 0.01570796327One gradian is 0.01570796327 radians, so a single multiplication converts any value.
0.15708 rad ≈ 10 × 0.01570796327Gradians to radians conversion table
Common values in gradians, converted to radians.
| Gradians (gon) | Radians (rad) |
|---|---|
| 1 | 0.015707963 |
| 5 | 0.078539816 |
| 10 | 0.15707963 |
| 30 | 0.4712389 |
| 45 | 0.70685835 |
| 60 | 0.9424778 |
| 90 | 1.4137167 |
| 180 | 2.8274334 |
| 360 | 5.6548668 |
About these units
gradiangon
One 400th of a full turn, so a right angle is exactly 100 gon. Used in surveying.
radianrad
The SI unit of plane angle: the angle subtending an arc equal to the radius.
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.