# 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

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

π | pi |

r | The radius of the quarter circle (m) |