2021 Gauss 8 Problem 18

In the diagram, the radius of the larger circle is 3 times the radius of the smaller circle. What fraction of the area of the larger circle is not shaded?

\textbf{(A)}\ \frac{8}{9}\quad \textbf{(B)}\ \frac{2}{3}\quad \textbf{(C)}\ \frac{5}{6}\quad \textbf{(D)}\ \frac{7}{9}\quad \textbf{(E)}\ \frac{1}{3}

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Gauss contests here.