The ratio of the moment of inertia of a circular plate and that of a square plate for equal depth is

Explanation:

Moment of inertia (I1) of circular plate of diameter “D” is given by:

\({I_1} = \frac{\pi }{{64}}*{D^4}\)

Moment of inertia (I2) of square plate of side equal to diameter “D” of circular plate is given by:

\({I_2} = \frac{{{D^4}}}{{12}}\)

\(\frac{{{I_1}}}{{{I_2}}} = \;\frac{{3\pi }}{{16}} = 0.589 < 1\)