Given below is a circle with centre $O$, where $OD = 5, \; AD = 4,$ what is the area formed by $BOC$. <BR>

Question

$\begin{array}{1 1} (a)\; \frac{41\pi}{4} \\ (b)\; \frac{41 \pi}{2} \\ (c)\; 41 \pi \\ (d)\; \text{none of the above} \end{array}$