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Disk (mathematics)

In geometry, a disk is an n-dimensional region bounded by an (n-1) dimensional hypersphere. A disk is said to be closed or open according to whether the region does or does not include its boundary. A ball is a disk in a space with > 2 dimensions.

A representative disk is three-dimensional volume element of a solid of revolution. The element is created by rotating a line segment (of length "w") around some axis (located "r" units away); such that, a cylindrical volume, of πr2w units, is enclosed.

In topology, a open disk and a closed disk in a metric space are the same as open ball and closed ball. In particle, in a two dimensional Euclidean space, an open (closed) disk is an circular area without (with) its boundary circle.

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