Degrees to Radians Converter
A full turn is 360 degrees, which is the same as 2 pi radians. Radians measure an angle as a distance along the edge of a circle, and they are the unit most higher math uses. Enter degrees to convert them.
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How it works
To convert degrees to radians, multiply by pi and divide by 180. Since 180 degrees equals pi radians, every angle scales by the same factor.
To go the other way, multiply radians by 180 and divide by pi.
Worked example
An angle of 60 degrees is 1.0472 radians.
Questions
Why do formulas use radians?
Radians make many formulas for circles and waves simpler. Calculators and textbooks in science and engineering often expect them.
What is a radian?
It is the angle that cuts off an arc on a circle as long as the circle's radius. A full circle holds two pi of them.
Can the angle be negative?
Yes. A negative angle turns the other way, and it converts the same way.
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