, 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 π∫r2w units, is enclosed.
, 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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