6. You are given a sheet of cardboard that is 8.0 in. x 11.0 in. How many full circles with a diameter of 3.0 inches can you cut
from the cardboard? What is the percentage of waste if the
1 answer:
In order to answer this, it would be useful to calculate the area of the cardboard and the circles. We do as follows:
Total area of cardboard = <span> 8.0 in. x 11.0 in = 88 in^2
Area of one circle = pi(r^2) = pi(0.5)^2 = 0.7854 in^2
Number of full circles = 88 / 0.7854 = 112.0451
Therefore, there will be 112 number of full circles. The percentage of waste is equal to:
% waste = (88 - 0.7854(112) / 88) x 100= 0.04%</span>
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