In △ABC with side lengths AB=13, AC=12, and BC=5, let O and I denote the circumcenter and incenter, respectively. A circle with center M is tangent to the legs AC and BC and to the circumcircle of △ABC. What is the area of △MOI?<spanclass=′latex−bold′>(A)</span>5/2<spanclass=′latex−bold′>(B)</span>11/4<spanclass=′latex−bold′>(C)</span>3<spanclass=′latex−bold′>(D)</span>13/4<spanclass=′latex−bold′>(E)</span>7/2