Difference between revisions of "Chord"

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A '''chord''' of a [[circle]] <math>C</math> is a [[line segment]] joining two [[point]]s on <math>C</math>.
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A '''chord''' of a [[circle]] <math>O</math> is a [[line segment]] joining two [[point]]s on <math>O</math>.
  
The [[diameter]] of a circle is the longest chord of the circle.
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<asy>size(100);
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pair O=origin,A=dir(135),B=dir(30);
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D(unitcircle);
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D(A--B);
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MP("O",D(O),S);
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MP("A",D(A),W);
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MP("B",D(B),E);</asy>
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The [[diameter]] of a circle is the longest chord of that circle. The diameter goes through the center of the circle.
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<asy>size(120);
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pair O=origin,A=dir(170),B=dir(-10);
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D(unitcircle);
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D(A--B);
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MP("O",D(O),N);
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MP("A",D(A),W);
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MP("B",D(B),E);</asy>
  
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{{stub}}
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[[Category:Geometry]]

Latest revision as of 11:16, 18 February 2018

A chord of a circle $O$ is a line segment joining two points on $O$.

[asy]size(100); pair O=origin,A=dir(135),B=dir(30); D(unitcircle); D(A--B); MP("O",D(O),S); MP("A",D(A),W); MP("B",D(B),E);[/asy]

The diameter of a circle is the longest chord of that circle. The diameter goes through the center of the circle.

[asy]size(120); pair O=origin,A=dir(170),B=dir(-10); D(unitcircle); D(A--B); MP("O",D(O),N); MP("A",D(A),W); MP("B",D(B),E);[/asy]

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