On circle O, points C and D are on the same side of diameter AB, \angle AOC \equal{} 30^\circ, and \angle DOB \equal{} 45^\circ. What is the ratio of the area of the smaller sector COD to the area of the circle?
[asy]unitsize(6mm);
defaultpen(linewidth(0.7)+fontsize(8pt));pair C = 3*dir (30);
pair D = 3*dir (135);
pair A = 3*dir (0);
pair B = 3*dir(180);
pair O = (0,0);
draw (Circle ((0, 0), 3));
label ("C", C, NE);
label ("D", D, NW);
label ("B", B, W);
label ("A", A, E);
label ("O", O, S);
label ("45∘", (-0.3,0.1), WNW);
label ("30∘", (0.5,0.1), ENE);
draw (A--B);
draw (O--D);
draw (O--C);[/asy]<spanclass=′latex−bold′>(A)</span>92<spanclass=′latex−bold′>(B)</span>41<spanclass=′latex−bold′>(C)</span>185<spanclass=′latex−bold′>(D)</span>247<spanclass=′latex−bold′>(E)</span>103