Hints were provided for each question for practice purposes.

PROBLEM $9\mathrm{.}2$

Determine by direct integration the moment of inertia of the shaded area with respect to the $y$ axis.

Hint:

PROBLEM $9\mathrm{.}7$

Determine by direct integration the moment of inertia of the shaded area with respect to the $x$ axis.

PROBLEM $9\mathrm{.}31$

Determine the moment of inertia and the radius of gyration of the shaded area with respect to the $x$ axis.