How to convert Radians to gradians
gon = rad × 200 ÷ π
One full turn is 2π radians or 360 degrees. Keeping π in the formula avoids rounding a decimal conversion factor before calculating the result.
Worked examples
1.5707963267948966 rad ≈ 100 gon
(1.5707963267948966) × 200 ÷ π ≈ 100
3.141592653589793 rad ≈ 200 gon
(3.141592653589793) × 200 ÷ π ≈ 200
Frequently asked questions
Why does the formula include π?
A complete turn is 2π radians, equal to 360 degrees or 400 gradians. Keeping π symbolic avoids prematurely rounding the conversion coefficient.