Angle / rad → gon
Convert Radians to Gradians
Convert plane angles in radians, degrees, turns, and survey grads. Convert Radians (rad) to Gradians (gon). Find the formula, worked examples, unit definitions, and practical guidance below.
Reverse: Gradians to Radians →
How to convert radians to gradians
A full turn is 2π radians, 360 degrees, or 400 gradians. Decimal degrees are not degrees-minutes-seconds notation. Angular minutes and seconds are not time units.
Use x for the value in rad, b for the intermediate value in rad, and y for the result in gon.
gon = rad ÷ 0.015707963267948967
Worked examples
10 rad ≈ 636.619772368 gon
Step 1: (10 × 1) ≈ 10 rad.
Step 2: 10 ÷ 0.0157079632679 ≈ 636.619772368 gon.20 rad ≈ 1273.23954474 gon
Step 1: (20 × 1) ≈ 20 rad.
Step 2: 20 ÷ 0.0157079632679 ≈ 1273.23954474 gon.
Results are rounded to 12 significant digits. Converting units does not increase the precision of the original measurement. Very large or small values outside JavaScript’s finite numeric range are rejected.
About Radians
Radians (rad) measures angle under the conventions above. The base value in rad is (x × 1), where x is the numerical value in rad. Factors shown here are rounded for display; calculations use the stored factor.
About Gradians
Gradians (gon) measures angle under the conventions above. The base value in rad is (x × 0.0157079632679), where x is the numerical value in gon. Factors shown here are rounded for display; calculations use the stored factor.
Definitions and sources
Carry the same physical assumptions into subsequent physics calculations.
Radians to gradians reference table
| Radians (rad) | Gradians (gon) |
|---|---|
| 1 | 63.6619772368 |
| 5 | 318.309886184 |
| 10 | 636.619772368 |
| 25 | 1591.54943092 |
| 50 | 3183.09886184 |
| 100 | 6366.19772368 |
| 1000 | 63661.9772368 |
Browse every angle conversion →