# Difference between revisions of "Radian"

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A complete angle has measure <math>2\pi</math>, since a complete angle "intercepts" the whole circumference of the circle. Thus, radians can be converted to [[Degree (geometry)|degrees]]: <math>2\pi\; rad=360^\circ</math> or <math>\pi \;rad=180^\circ</math>. | A complete angle has measure <math>2\pi</math>, since a complete angle "intercepts" the whole circumference of the circle. Thus, radians can be converted to [[Degree (geometry)|degrees]]: <math>2\pi\; rad=360^\circ</math> or <math>\pi \;rad=180^\circ</math>. | ||

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[[Category:Geometry]] | [[Category:Geometry]] | ||

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## Revision as of 16:05, 9 March 2014

A **radian** is a unit of measurement for angles. In a circle, the measure of a central angle in radians is the ratio of the length of the intercepted arc to the length of the circle's radius.

A complete angle has measure , since a complete angle "intercepts" the whole circumference of the circle. Thus, radians can be converted to degrees: or .
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