A disk of radius 1 rolls all the way around the inside of a square of side length s>4 and sweeps out a region of area A. A second disk of radius 1 rolls all the way around the outside of the same square and sweeps out a region of area 2A. The value of s can be written as a+cbπ, where a,b, and c are positive integers and b and c are relatively prime. What is a+b+c?<spanclass=′latex−bold′>(A)</span>10<spanclass=′latex−bold′>(B)</span>11<spanclass=′latex−bold′>(C)</span>12<spanclass=′latex−bold′>(D)</span>13<spanclass=′latex−bold′>(E)</span>14