first moment of area

Now, the first moment of area in the x and y directions are respectively given by:

First moment of area is commonly used to determine the centroid of an area.

Developments of the planimeter can establish the position of the first moment of area (center of mass), and even the second moment of area.

The first moment of area, sometimes misnamed as the first moment of inertia, is based in the mathematical construct moments in metric spaces, stating that the moment of area equals the summation of area times distance to an axis [Σ(a x d)].