A regular pentagon is inscribed in a circle of radius $r$ and another regular pentagon is circumscribed about the same circle. Find the ratio of the area of the inscribed pentagon to the area of the circumscribed pentagon.
(A) $\sin^2 36^\circ$ \quad (B) $\cos^2 36^\circ$ \quad (C) $\tan^2 36^\circ$ \quad (D) $\cos^2 54^\circ$