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18 September, 15:23

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

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  1. 18 September, 15:33
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    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 = 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%
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