How to convert Gradians to radians
rad = gon × π ÷ 200
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
100 gon ≈ 1.570796327 rad
(100) × π ÷ 200 ≈ 1.570796327
400 gon ≈ 6.283185307 rad
(400) × π ÷ 200 ≈ 6.283185307
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.