A centroid is a fundamental geometric concept referring to the arithmetic center of a shape or a set of points. In different contexts, the term can have specific meanings: 1. **In Geometry**: - The centroid of a simple shape, like a triangle or a polygon, is the point that represents the average position of all the points in the shape. It can be thought of as the center of mass if the shape has uniform density.
Articles by others on the same topic
The centroid of a region with finite positive volume is the average of position with respect to uniform volume:provided the component integrals exist. For a planar region use area in place of volume; for finitely many equally weighted points use their arithmetic mean. The centroid of a uniform triangle is in terms of its vertex position vectors, the intersection of its medians of a triangle. For nonuniform mass density, weighting the same integral by density instead gives the center of mass. The vertex centroid of a general polygon need not equal the centroid of its filled interior.