[asy]
size(150);
pair A=(0,0),B=(1,0),C=(0,1),D=(-1,0),E=(0,.5),F=(sqrt(2)/2,.25);
draw(circle(A,1)^^D--B);
draw(circle(E,.5)^^circle( F ,.25));
label("A", D, W);
label("K", A, S);
label("B", B, dir(0));
label("L", E, N);
label("M",shift(-.05,.05)*F);
//Credit to Klaus-Anton for the diagram[/asy]In the adjoining figure, circle K has diameter AB; cirlce L is tangent to circle K and to AB at the center of circle K; and circle M tangent to circle K, to circle L and AB. The ratio of the area of circle K to the area of circle M is<spanclass=′latex−bold′>(A)</span>12<spanclass=′latex−bold′>(B)</span>14<spanclass=′latex−bold′>(C)</span>16<spanclass=′latex−bold′>(D)</span>18<spanclass=′latex−bold′>(E)</span>not an integer