How do you convert 360 degrees to radians?

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How do you convert 360 degrees to radians?

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Answer 1 · 2015-07-19T17:18:23

$360^{o} = 2 π radians$ $360^o = 2pi "radians"$

Explanation:

$360^{o}$ $360^o$ represents a complete revolution, tracing out an arc of $2 π$ $2pi$ radians.

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

So a complete circular arc subtends $\frac{2 π r}{r} = 2 π$ $(2 pi r) / r = 2 pi$ radians.

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How do you convert 360 degrees to radians?

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