How to convert Radians to turns
turn = rad × 0.5 ÷ 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 ≈ 0.25 turn
(1.5707963267948966) × 0.5 ÷ π ≈ 0.25
3.141592653589793 rad ≈ 0.5 turn
(3.141592653589793) × 0.5 ÷ π ≈ 0.5
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.