Diameter
A diameter of a circle is a chord of that circle which passes through the center. Thus a diameter divides the circle into two regions of equal area called semicircles.
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![[asy] unitsize(1cm); draw(unitcircle,black); pair O = (0,0); pair A = (-1,0); pair B = (1,0); draw(A--O--B); label("$O$",O,S); label("$A$",A,W); label("$B$",B,E); [/asy]](http://latex.artofproblemsolving.com/d/7/b/d7bdbea548f34cc7f1df10c74145f32aa7ea11e8.png)
Diameter of a set
The diameter of more general sets can also be defined. In any given metric space (that is, anywhere you can measure distances between points such as normal Euclidean 3-D space, the surface of the Earth, or any real vector space) the diameter of a bounded set of points is the supremum of the distances between pairs of points. In the case where the set of points is a circle, the diameter is the length of the diameter of the circle.
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