Difference between revisions of "Chord"

Revision as of 22:45, 12 December 2008

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.

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

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

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