How do you convert 360 degrees to radians?

1 Answer
George C.
Jul 19, 2015

#360^o = 2pi "radians"#

Explanation:

#360^o# represents a complete revolution, tracing out an arc of #2pi# radians.

A radian is the angle subtended by an arc of length equal to the radius and the complete length of the circumference is #2pi r#, where #r# is the radius.

So a complete circular arc subtends #(2 pi r) / r = 2 pi# radians.

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