Difference between revisions of "Sector"

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A '''sector''' of a [[circle]] <math>O</math> is a region bounded by two [[radius | radii]] of the circle, <math>OA</math> and <math>OB</math>, and the [[arc]] <math>AB</math>.
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<div style="float:right"><asy>size(150);
 
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real angle1=30, angle2=100;
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pair O=origin, A=dir(angle2), B=dir(angle1);
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path sector=O--B--arc(O,1,angle1,angle2)--A--cycle;
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fill(sector,gray(0.9));
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D(unitcircle);
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D(A--O--B);
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MP("O",D(O),SSW);
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MP("A",D(A),NNW);
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MP("B",D(B),NE);</asy></div>
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A '''sector''' of a [[circle]] <math>O</math> is a region bounded by two [[radius|radii]] of the circle, <math>OA</math> and <math>OB</math>, and the [[arc]] <math>AB</math>.
  
 
{{stub}}
 
{{stub}}
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[[Category:Definition]]
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[[Category:Geometry]]

Revision as of 20:14, 24 April 2008

[asy]size(150); real angle1=30, angle2=100; pair O=origin, A=dir(angle2), B=dir(angle1); path sector=O--B--arc(O,1,angle1,angle2)--A--cycle; fill(sector,gray(0.9)); D(unitcircle); D(A--O--B); MP("O",D(O),SSW); MP("A",D(A),NNW); MP("B",D(B),NE);[/asy]

A sector of a circle $O$ is a region bounded by two radii of the circle, $OA$ and $OB$, and the arc $AB$.

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