Part 1. A baseball is hit inside a baseball diamond with a length and width of 90 feet each. What is the probability that the ball will bounce on the pitcher’s mound if the diameter of the mound is 18 feet? Assume that the ball is equally likely to bounce anywhere in the infield. When applicable, leave your answer in terms of pi and include all necessary calculations.

Part 2. Solve the geometric probability scenario that you created for question #1. Include all appropriate geometric formulas, and when applicable, leave your answer in terms of and include all necessary calculations.