Touchdown. A quarterback needs to throw the ball quickly, and in his haste, the location it lands is Uniformly distributed within a 30×120 sq. ft. area in the endzone. The receiver can only catch the ball the ball lands within 7 feet of him, i.e., within a circle of radius 7 feet, completely contained in the endzone. What is the probability that the receiver catches the ball?
(Assume that the receiver is positioned so that a circle of 7 feet around him is completely contained within the endzone.)