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A disk of radius $R$ has a central hole of radius $\displaystyle{\frac{R}{2}}$ and its mass is $m$ . What is its mass moment of inertia about an axis perpendicular to the disk passing through $O$ ?

A. $\frac {1} {4} mR^2$
B. $\frac {1} {2} mR^2$
C. $\frac {3} {4} mR^2$
D. $\frac {3} {12} mR^2$
E. $mR^2$
F. None of the above