Difference between revisions of "Diameter"
| Line 8: | Line 8: | ||
[[Category:Definition]] | [[Category:Definition]] | ||
| + | |||
| + | [[Category:Geometry]] | ||
Revision as of 19:48, 19 October 2007
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.
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.
