Centroid of a planar region and planar curve

In this figure a segment of a parabola is graphed. You can reshape it by dragging the three control points. Selecting the first checkbox will connect the two endpoints and create a parabolic region. The centroid, R, of this region is displayed. Selecting the second checkbox takes only the parabolic curve itself into account and displays C, the centroid of the curve.

Information: Centroid of a planar region and planar curve