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 [[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 [[degrees]]: <math>2\pi\; rad=360^\circ</math> or <math>\pi \;rad=180^\circ</math>.
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[[Category:Geometry]]

Revision as of 18:36, 19 October 2007

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 $2\pi$, since a complete angle "intercepts" the whole circumference of the circle. Thus, radians can be converted to degrees: $2\pi\; rad=360^\circ$ or $\pi \;rad=180^\circ$.

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