SOLUTION: A rectangular field is 60 metres long and 30 metres wide. A cow wanders randomly around the field. Find the probability that the cow is: a. more than 10 metres from the edge of t

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Question 1181837: A rectangular field is 60 metres long and 30 metres wide. A cow wanders randomly around the field.
Find the probability that the cow is:
a. more than 10 metres from the edge of the field
b. not more than 10 metres from a corner of the field

Answer by ikleyn(52793) About Me  (Show Source):
You can put this solution on YOUR website!
.

(a)  P = %2860-2%2A10%29%2A%2830-2%2A10%29%2F%2860%2A30%29 = 0.22222... = 0.2222 (rounded) = 22.22%.



(b)  P = %284%2A%28%28pi%2A10%5E2%29%2F4%29%29%2F%2860%2A30%29 = %28pi%2A10%5E2%29%2F%2860%2A30%29 = %283.14%2A100%29%2F%2860%2A30%29 = 0.17444... = 0.1744  (rounded) = 17.44%.


Solved.