SOLUTION: Food Service: A medium pizza at Papa's Pizza is 9in. in diameter and a large pizza is 12 in. in diameter. If a medium pizza will serve 4 customers, how many servings will a large p

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Question 107765: Food Service: A medium pizza at Papa's Pizza is 9in. in diameter and a large pizza is 12 in. in diameter. If a medium pizza will serve 4 customers, how many servings will a large pizza provide?
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
For the medium pizza, 4 customers ate the same amount of area of the pizza.
A = (pi)r^2
A = (pi)4.5^2 = 20.25(pi)
A/4 = 5.0625(pi) is the amount consumed by each individual
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A = (pi)r^2
A = (pi)6^2 = 36(pi)
A/x = 36(pi)/x is the amount consumed by each individual x for the larger pizza
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5.0625(pi) = 36(pi)/x
5.0625(pi)x = 36(pi)
x = 36(pi)/5.0625(pi)
x = 36/5.0625 = 7 1/9 or 7 people