Difference between revisions of "Central angle"

m (Central angle moved to Central Angle: The capitalized version already exists and is linked to)
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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]].
 
 
A '''Central angle''' is just the 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]] the '''central angle''' [[subtends]] has an angle measure equal to the central angle, and is known as the [[arc segment]]'s [[angular distance]].
 
  
 
==See also==
 
==See also==
* [[Circle]]
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* [[Sector]]
 
* [[Radian]]
 
* [[Radian]]
* [[Inscribed Angle]]
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* [[Degree]]
* [[Arc]]
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* [[Inscribed angle]]
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[[Category:Definition]]
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[[Category:Geometry]]

Latest revision as of 19:50, 24 April 2008

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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