How to convert Radians to arcseconds
″ = rad × 648000 ÷ 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 ≈ 324000 ″
(1.5707963267948966) × 648000 ÷ π ≈ 324000
3.141592653589793 rad ≈ 648000 ″
(3.141592653589793) × 648000 ÷ π ≈ 648000
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.