Difference between revisions of "Chord"

Revision as of 14:29, 16 April 2008

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

$[asy]size(100); pair C=origin, A=dir(135), B=dir(30); D(unitcircle); D(A--B); MP("C",D(C),N); MP("A",D(A),NW); MP("B",D(B),NE);[/asy]$

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

$[asy]size(120); pair C=origin, A=dir(170), B=dir(-10); D(unitcircle); D(A--B); MP("C",D(C),NNE); MP("A",D(A),WNW); MP("B",D(B),ESE);[/asy]$

@@ Line 1: / Line 1: @@
-A '''chord''' of a [[circle]] <math>C</math> is a [[line segment]] joining two [[point]]s on <math>C</math>.
+{{stub}}
+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);
+D(unitcircle);
+D(A--B);
+MP("C",D(C),N);
+MP("A",D(A),NW);
+MP("B",D(B),NE);</asy>
-The [[diameter]] of a circle is the longest chord of the circle.
+The [[diameter]] of a circle is the longest chord of the circle. The diameter goes through the center of the circle.
-{{image}}
+<asy>size(120);
-{{stub}}
+pair C=origin, A=dir(170), B=dir(-10);
+D(unitcircle);
+D(A--B);
+MP("C",D(C),NNE);
+MP("A",D(A),WNW);
+MP("B",D(B),ESE);</asy>
 [[Category:Geometry]]