Area moments of inertia for a filled quarter circle with respect to a horizontal or vertical axis through the centroid

Description

The second moment of area, also known as moment of inertia of plane area, area moment of inertia, polar moment of area or second area moment, is a geometrical property of an area which reflects how its points are distributed with regard to an arbitrary axis. Area moment of inertia of a filled quarter circle with radius r entirely in the 1st quadrant of the Cartesian coordinate system, with respect to a horizontal or vertical axis through the centroid is depended on the radius.

Related formulas

Variables

I0Area moment of inertia (m4)
πpi
rThe radius of the quarter circle (m)