The geometry of the circle can be used to facilitate the calculation of various properties. For example, the values of the maximum and minimum moments of inertia can be found from the points where the circle crosses the horizontal axis.

The maximum moment of inertia is found from:

${\mathrm{I}}_{\mathrm{p}1}=\mathrm{C}+\mathrm{R}$

and the minumum moment of inertia is found from:

${\mathrm{I}}_{\mathrm{p}2}=\mathrm{C}-\mathrm{R}$

The orientation of the principal axes can be found using the circle geometry and noting that angles in Mohr's circle are double angles (just like the transformation equations).