A typical compact disk has a mass of \(15 \mathrm{~g}\) and a diameter of \(120 \mathrm{~mm}\). What is its moment of inertia about an axis through its center, perpendicular to the disk?

A. \(2.7 \times 10^{-5} \mathrm{~kg} \cdot \mathrm{m}^{2}\)

B. \(5.4 \times 10^{-5} \mathrm{~kg} \cdot \mathrm{m}^{2}\)

C. \(1.1 \times 10^{-4} \mathrm{~kg} \cdot \mathrm{m}^{2}\)

D. \(2.2 \times 10^{-4} \mathrm{~kg} \cdot \mathrm{m}^{2}\)