Center
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This article is about the center of a geometric object. For the center of a group, see Center (group theory).
The center of a circle is the point equidistant from all points of the circle. However the center is not a point on the circle because the circle is only the rim and has empty interior. In contrast, the center of a disk is a point of the disk.
The center of a square is not the same distance from every point on the square--the corners are further away from the center than the midpoints of the sides. The center of a square is the point where the two diagonals intersect.
For complicated geometric shapes and solids, the term centroid is preferred.