 A disk is region bounded by a circle. An open disk in the interior of the disk meanwhile a closed disk closed set which is the open disk together with the bounding circle. In geometry, a disk (also spelled disc) is the region in a plane bounded by a circle. Image File history File links CIRCLE_1. ...
Image File history File links CIRCLE_1. ...
In mathematics, the interior of a set S consists of all points which are intuitively not on the edge of S. A point which is in the interior of S is an interior point of S. The notion of interior is in many ways dual to the notion of closure. ...
In topology and related branches of mathematics, a closed set is a set whose complement is open. ...
Table of Geometry, from the 1728 Cyclopaedia. ...
Two intersecting planes in three-dimensional space In mathematics, a plane is a fundamental two-dimensional object. ...
Circle illustration In Euclidean geometry, a circle is the set of all points in a plane at a fixed distance, called the radius, from a fixed point, the centre. ...
A disk is said to be closed or open according to whether or not it contains the circle that constitutes its boundary. In Cartesian coordinates, the open disk of center (a,b) and radius R is given by the formula Cartesian means relating to the French mathematician and philosopher Descartes, who, among other things, worked to merge algebra and Euclidean geometry. ...
while the closed disk of the same center and radius is given by The area of a closed or open disk of radius R is πR2 (see π). Area is a quantity expressing the size of a figure in the Euclidean plane or on a 2-dimensional surface. ...
When a circles diameter is 1, its circumference is π. The mathematical constant π is an irrational real number, approximately equal to 3. ...
The ball is the disk generalised to metric spaces. However, sometimes "disk" is used to mean "ball". The solid interior of a sphere or circle; in mathematics, latter terms refer specifically to the (n-1)-dimensional surface of an n-dimensional solid ball. ...
In mathematics, a metric space is a set (or space) where a distance between points is defined. ...
In theoretical physics a disk is a rigid body which is capable of participating in collisions in a two-dimensional gas. Usually the disk is considered rigid so that collisions are deemed elastic. A two-dimensional gas is a collection of N objects which are constrained to move in a planar or other two-dimensional space in a gaseous state. ...
An elastic collision is a collision in which the total kinetic energy of the colliding bodies after collision is equal to their total kinetic energy before collision. ...
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