The centroid is the geometric center of a body, representing the average position of all the points within a body. For a homogeneous body with a constant density, the mass of the infinitesimal element is proportional to the differential volume of the body. Using the center of mass expressions, centroid equations for volume can be obtained. These equations represent a balance of the moments of the volume. If the volume has two planes of symmetry, the centroid must lie along the line of intersection of the two planes. Similarly, the centroid of an area bounded by a curve can be determined using integrals. These integrals can be evaluated using a rectangular strip for the differential area element either in the vertical or horizontal direction. If a line segment lies within a plane described by a thin curve, its centroid is determined using the given equations. The centroid equations for volume, area, and length, provide a way to locate the centroid of any body and help to calculate moments of inertia and its stability.