Answer:
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre; equivalently it is the curve traced out by a point that moves in a plane so that its distance from a given point is constant. The distance between any point of the circle and the centre is called the radius. Usually, the radius is required to be a positive number (Circle with {\display style r=0} r=0 is a degenerate case). This article is about circles in Euclidean geometry, and, in particular, the Euclidean plane, except where otherwise noted.
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