SOLUTION: A pizza in the shape of a circle has a diameter of 12 inches. It is placed in a box shaped like a square whose sides have a length of 12 inches. What is the percent of the area of

Algebra ->  Test -> SOLUTION: A pizza in the shape of a circle has a diameter of 12 inches. It is placed in a box shaped like a square whose sides have a length of 12 inches. What is the percent of the area of       Log On


   



Question 1171995: A pizza in the shape of a circle has a diameter of 12 inches. It is placed in a box shaped like a square whose sides have a length of 12 inches. What is the percent of the area of the bottom of the box that is covered with pizza?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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Calculate the area of the circle and relate it to the area of the square.


Then multiply the obtained value of the fraction by 100 to get the percentage


    %28%28pi%2A6%5E2%29%2F12%5E2%29%2A100 = %28%283.14%2A6%5E2%29%2F12%5E2%29%2A100 = 78.5    (rounded)



Notice that this ratio and the percentage DO NOT DEPEND of concrete dimensions.


It is ALWAYS  pi%2F4 = 3.14%2F4 = 0.758 (rounded).


Think WHY it is so.