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<small>This article is about the center of a geometric object. For the center of a group, see [[Center (group theory)]].</small>
The '''center''' of a [[geometric]] shape is a point that, on average, the points of the shape are [[equidistant]] from. This point does not have to be on the shape itself.
The '''center''' of a [[geometric]] shape is a point that, on average, the points of the shape are [[equidistant]] from. This point does not have to be on the shape itself.
Figures like squares, [[triangle]]s, [[ellipse]]s, etc. are why we must say "on average" in the definition of "center". While not all points are the same distance away from the center of the figure, the distances will average to be the same value and cancel out.
Figures like squares, [[triangle]]s, [[ellipse]]s, etc. are why we must say "on average" in the definition of "center". While not all points are the same distance away from the center of the figure, the distances will average to be the same value and cancel out.
For complicated geometric shapes and [[solid]]s, the term [[centroid]] is prefered.
For complicated geometric shapes and [[solid]]s, the term [[centroid]] is preferred.
[[Category:Geometry]]
[[Category:Geometry]]