Points A and B lie on a circle centered at O, and \angle AOB\equal{}60^\circ. A second circle is internally tangent to the first and tangent to both OA and OB. What is the ratio of the area of the smaller circle to that of the larger circle?<spanclass=′latex−bold′>(A)</span>161<spanclass=′latex−bold′>(B)</span>91<spanclass=′latex−bold′>(C)</span>81<spanclass=′latex−bold′>(D)</span>61<spanclass=′latex−bold′>(E)</span>41