How this calculator works
A full turn is 360 degrees or exactly 2 pi radians. Their ratio gives pi/180 radians per degree. Radians compare arc length with radius, so the result is an angle rather than a distance. Angles are kept signed and are not wrapped to one turn.
Formula
radians = degrees x pi / 180; degrees = radians x 180 / pi.
Worked example
90 degrees is pi/2 radians, approximately 1.5707963268 rad. An angle of pi/6 radians is 30 degrees.
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Frequently asked questions
Why do trig functions often expect radians?
Radians are the natural angular unit for calculus and many programming functions. Check the function or calculator mode before entering an angle.
Can the angle exceed 360 degrees?
Yes. The calculator preserves multiple turns and negative signs instead of reducing the angle to a single turn.
Does this give a distance on the ground?
No. Converting an angle to arc length requires a radius. Geographic distances also depend on position and the Earth model.