How to convert Radians to arcminutes
′ = rad × 10800 ÷ 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 ≈ 5400 ′
(1.5707963267948966) × 10800 ÷ π ≈ 5400
3.141592653589793 rad ≈ 10800 ′
(3.141592653589793) × 10800 ÷ π ≈ 10800
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.