Let C be a circle centered at point O, and let P be a point in the interior of C. Let Q be a point on the circumference of C such that P Q \perp O P, and let D be the circle with diameter P Q. Consider a circle tangent to C whose circumference passes through point P. Let the curve \Gamma be the locus of the centers of all such circles. If the area enclosed by \Gamma is 1 / 100 the area of C, then what is the ratio of the area of C to the area of D?