Difference between revisions of "Central angle"

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A '''Central angle''' is an angle that has its [[vertex]] on the center of a [[circle]], and has sides that pass through the circle itself, so as to [[subtend]] an [[arc]] of the [[circle]] between the two points it passes through. The [[arc]] that the '''central angle''' [[subtends]] has an angle measure equal to the central angle, and is known as the [[arc segment]]'s [[angular distance]].
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In a given [[circle]], a '''central angle''' is an [[angle]] that has its [[vertex]] on the [[center]] of the circle.  The [[side]]s of any such angle each [[intersect]] the circle in exactly one [[point]], so the angle [[subtend]]s an [[arc]] of the circle. The [[measure]] of the arc that the central angle subtends is by definition equal to the measure of the central angle, and is known as the [[arc segment]]'s [[angular distance]].
  
 
==See also==
 
==See also==
* [[Circle]]
 
 
* [[Radian]]
 
* [[Radian]]
* [[Inscribed Angle]]
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* [[Inscribed angle]]
* [[Arc]]
 

Revision as of 09:46, 11 July 2007

This article is a stub. Help us out by expanding it.

In a given circle, a central angle is an angle that has its vertex on the center of the circle. The sides of any such angle each intersect the circle in exactly one point, so the angle subtends an arc of the circle. The measure of the arc that the central angle subtends is by definition equal to the measure of the central angle, and is known as the arc segment's angular distance.

See also

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