SOLUTION: I am having trouble with this question about probability. Here's the question: A circular pool of radius 12 ft is enclosed within a rectangular yard measuring 50 ft by 100 ft. If

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Question 189674: I am having trouble with this question about probability. Here's the question: A circular pool of radius 12 ft is enclosed within a rectangular yard measuring 50 ft by 100 ft. If a ball from an adjacent golf course lands at a random point within the yard, what is the probability that the ball lands in the pool?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
The probability of a ball landing in the pool in this situation is just the ratio of the area of the pool to the area of the yard:
P+=+pi%2Ar%5E2%2F%28L%2AW%29 Substitute r = 12ft., L = 100ft., and W = 50ft.
P+=+%283.14%29%2812%29%5E2%2F%28100%2850%29%29
P+=+452.16%2F5000
P+=+0.090432
The probability is 0.09 or 9%