A rectangular dance stage is lit by two lights that light up circular regions of the stage. The circles have radii of the same length and each circle passes through the center of the other. The stage perfectly circumscribes the two circles. A spectator throws a bouquet of flowers onto the stage. Assume the bouquet has an equal chance of landing anywhere on the stage. a. What is the probability that the flowers land on a lit part of the stage? b. What is the probability that the flowers land on the part of the stage where the spotlights overlap?