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torisob [31]
2 years ago
14

The diagram shows a square pizza box with side lengths of 18 inches. In the box is a circular pizza with a radius of 8 inches. W

hat is the difference between the area of box and the pizza?
Mathematics
1 answer:
kotegsom [21]2 years ago
5 0
There is a difference of 123 square inches between the pizza box and the pizza.

18x18=324
pi8^2=201.0619

324-201=123
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This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

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Then the fourth step is to add up the stringer lengths, rounding the result as required.

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Finally, you need to answer the question asked:

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