Radian: Difference between revisions
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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>. | ||
[[Category:Geometry]] | |||
Revision as of 17:36, 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 
, since a complete angle "intercepts" the whole circumference of the circle. Thus, radians can be converted to degrees: 
or 
.
