maribelsalgado3
06.05.2020 •
Mathematics
A circular pizza with a 16-inch diameter is cut into 8 equal slices. A square pizza is cut into 9 equal-size pieces. To the nearest inch, find the dimensions of the square pizza so that each of its 9 pieces has the same area as one slice of the round pizza. Remember: Circumference= ⋅Diameter, Area= 2 r2 (r is radius). Talk to your teacher or a friend if you need to talk about the problem. The dimensions are . I know this because ___. Optional Extension: If a box is made to exactly fit the square pizza, will the circular pizza fit into the box?
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Ответ:
The square pizza should be 15.03 x 15.03.
The circular pizza wont fit in a box made for the square pizza, since the diameter of the circular pizza is greater than the side of the square pizza.
Step-by-step explanation:
In order to solve this problem we first need to calculate the area of the circular pizza, it's given by the following formula:
area = pi*(d/2)² = 3.14*(16/2)² = 200.96 square inches
Each slice has the following area:
slice = area/8 = 200.96/8 = 25.12 square inches
The area of a square pizza is given by:
area = width²
This is to be divided in 9 squares, so:
slice = area/9 =( width²)/9
25.12 = (width²)/9
width² = 25.12*9 = 226.08
width = sqrt(226.08) = 15.03 inches
The square pizza should be 15.03 x 15.03.
The circular pizza wont fit in a box made for the square pizza, since the diameter of the circular pizza is greater than the side of the square pizza.
Ответ: