Let S be the set of circles in the coordinate plane that are tangent to each of the three circles with equations x2+y2=4, x2+y2=64, and (x−5)2+y2=3. What is the sum of the areas of all circles in S?<spanclass=′latex−bold′>(A)</span>48π<spanclass=′latex−bold′>(B)</span>68π<spanclass=′latex−bold′>(C)</span>96π<spanclass=′latex−bold′>(D)</span>102π<spanclass=′latex−bold′>(E)</span>136π