High Quality Content by WIKIPEDIA articles! In geometry, the centroid, geometric center, or barycenter of a plane figure or two-dimensional shape X is the intersection of all straight lines that divide X into two parts of equal moment about the line. Informally, it is the "average" of all points of X. The definition extends to any object X in n-dimensional space: its centroid is the intersection of all hyperplanes that divide X into two parts of equal moment. In physics, the word centroid and barycenter may mean the geometric center of the object's shape, as above; or its physical center of mass or the center of gravity, depending on the context. Informally, the center of mass and center of gravity is the average of all points, weighted by the local density or specific weight, respectively. If a physical object has uniform density, then its center of mass is the same as the centroid of its shape.

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