The longest straight line segment through the ball, connecting two points of the sphere, passes through the center and its length is thus twice the radius it is a diameter of both the sphere and its ball. These are also referred to as the radius and center of the sphere, respectively. This distance r is the radius of the ball, which is made up from all points with a distance less than (or, for a closed ball, less than or equal to) r from the given point, which is the center of the mathematical ball. Like a circle in a two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance r from a given point in a three-dimensional space.
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