# Area Moment of Inertia - Filled Circular Sector

## 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 calculated with respect to a parallel axis or with respect to a perpendicular axis through the centroid of the shape.

The formula calculates the Moment of Inertia of a filled circular sector or a sector of a disc of angle θ and radius r with respect to an axis going through the centroid of the sector and the center of the circle. The formula is valid for 0 ≤ θ ≤ π

## Variables

I | Area Moment of Inertia (mm^{4}) |

θ | Angle of circular sector (rad) |

r | Radius of circle (mm) |