The preceding equations may be represented graphically by a diagram called Mohr's circle. Instead of a spatial coordinate system (such as $\mathrm{x}$ and $\mathrm{y}$), Mohr's circle is constructed with moments of inertia plotted along the horizontal axis and products of inertia plotted along the vertical axis.

Points on the circle represent combinations of moments and products of inertia that exist at various orientations.

The center $\mathrm{C}$ of Mohr's circle is located at:

$\mathrm{C}=\frac{{\mathrm{I}}_{\mathrm{x}}+{\mathrm{I}}_{\mathrm{y}}}{2}$

The radius R of Mohr's circle is given by:

$\mathrm{R}=\sqrt{{\left(\frac{I_x-I_y}{2}\right)}^2+{I_{xy}}^2}$