Area moments of inertia for a filled semicircle with respect to a horizontal line passing through the centroid of the area

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.
The second moment of area for a shape is easier to be calculeted with respect to a parallel axis or with respect to a perpendicular axis through the centroid of the shape.
Area moment of inertia of a filled semicircle with radius r with respect to a horizontal line passing through the centroid of the area is depended on the radius of the semicircle.

Related formulas

Variables

I0Area moment of inertia (mm4)
πpi
rThe radius of the semicircle (mm)