Question: A quarterback needs to throw the ball quickly, and in his haste, the location it lands is uniformly distributed within a 30 x 120 sq.

A quarterback needs to throw the ball quickly, and in his haste, the location it lands is uniformly distributed within a 30 x 120 sq. ft. area in the end zone. 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 end zone. 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 end zone.)

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