How to convert Arcminutes to radians
rad = ′ × π ÷ 10800
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 ′ ≈ 0.0002908882087 rad
(1) × π ÷ 10800 ≈ 0.0002908882087
60 ′ ≈ 0.01745329252 rad
(60) × π ÷ 10800 ≈ 0.01745329252
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.