Question 155
Let $ABCD$ be a trapezoid with bases $AB$ and $CD$ inscribed in a circle $\Gamma$, such that the diagonals $AC$ and $BD$ are perpendicular. Letting $P$ be the intersection point of the diagonals $AC$ and $BD$, what is the ratio between the area of $\Gamma$ and the sum of the areas of the triangles $APB$ and $CPD$?
(A) 1
(B) $\pi / 2$
(C) $\pi$
(D) $2\pi$
(E) The data are not sufficient to determine it
(A) 1
(B) $\pi / 2$
(C) $\pi$
(D) $2\pi$
(E) The data are not sufficient to determine it