The radius of the circle passing through the foli of the ellipse $\large\frac{x^2}{16} +\frac{y^2}{9}$$=1$ and having its center at $(0,3)$ is

Question

$\begin{array}{1 1} 4 \\ 3 \\ \sqrt {12} \\ \large\frac{7}{2} \end{array} $