The following is list of area moments of inertia. The area moment of inertia or second moment of area has a unit of dimension length^{4}, and should not be confused with the mass moment of inertia. Each is with respect to a horizontal axis through the centroid of the given shape, unless otherwise specified.
Description  Figure  Area moment of inertia  Comment  Reference 

a filled circular area of radius r  ^{[1]}  
an annulus of inner radius r_{1} and outer radius r_{2}  For thin tubes, this is approximately equal to: or π times the cube of the average radius times the thickness.  
a filled circular sector of angle θ in radians and radius r with respect to an axis through the centroid of the sector and the centre of the circle  
a filled semicircle with radius r with respect to a horizontal line passing through the centroid of the area  ^{[2]}  
a filled semicircle as above but with respect to an axis collinear with the base  This is a consequence of the parallel axis theorem and the fact that the distance between these two axes is  ^{[2]}  
a filled semicircle as above but with respect to a vertical axis through the centroid 

^{[2]}  
a filled quarter circle with radius r entirely in the 1st quadrant of the Cartesian coordinate system  ^{[3]}  
a filled quarter circle as above but with respect to a horizontal or vertical axis through the centroid  This is a consequence of the parallel axis theorem and the fact that the distance between these two axes is  ^{[3]}  
a filled ellipse whose radius along the xaxis is a and whose radius along the yaxis is b  
a filled rectangular area with a base width of b and height h  ^{[4]}  
a filled rectangular area as above but with respect to an axis collinear with the base  This is a trivial result from the parallel axis theorem  ^{[4]}  
a filled triangular area with a base width of b and height h with respect to an axis through the centroid  ^{[5]}  
a filled triangular area as above but with respect to an axis collinear with the base  This is a consequence of the parallel axis theorem  ^{[5]}  
a filled regular hexagon with a side length of a  The result is valid for both a horizontal and a vertical axis through the centroid. 
