# Centroid facts for kids

In mathematics and physics, the **centroid** or **geometric center** of a plane figure is the arithmetic mean position of all the points in the figure. Informally, it is the point at which a cutout of the shape could be perfectly balanced on the tip of a pin.

The definition extends to any object in *n*-dimensional space: its centroid is the mean position of all the points in all of the coordinate directions.

While in geometry the word **barycenter** is a synonym for *centroid*, in astrophysics and astronomy, the barycenter is the center of mass of two or more bodies that orbit each other.

In physics, the center of mass is the arithmetic mean of all points weighted by the local density or specific weight. If a physical object has uniform density, its center of mass is the same as the centroid of its shape.

In geography, the centroid of a radial projection of a region of the Earth's surface to sea level is the region's geographical center.

*Kiddle Encyclopedia.*