In the diagram, AB = 8 and AD = 9. Two circles are tangent to each other and also tangent to the sides of the rectangle, as shown. If the radius of the smaller circle is 2, what is the radius of the larger circle?
(A) \frac{5}{2}
(B) 2\sqrt{2}
(C) 3
(D) 2\sqrt{3}
(E) \frac{7}{2}![]()
(A) \frac{5}{2}
(B) 2\sqrt{2}
(C) 3
(D) 2\sqrt{3}
(E) \frac{7}{2}