Area Moment of Inertia - Filled Circular Sector


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

Related formulas


IArea Moment of Inertia (mm4)
θAngle of circular sector (rad)
rRadius of circle (mm)