# 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.

## Variables

I_{0} | Area moment of inertia (mm^{4}) |

π | pi |

r | The radius of the semicircle (mm) |