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13 September, 16:07

Tarek has 72 feet of plastic fence to make a flower bed. The garden shape can either be circular or square. If he uses all of the fencing. What is the difference between the area of the circular garden and the square garden? Use 3.14 for pie

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  1. 13 September, 17:19
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    Step-by-step explanation:

    The formula for determining the perimeter of a circle is expressed as

    Perimeter = 2πr

    Where

    r represents radius of the circular garden.

    If she makes a circular garden, then the perimeter of the circular fence would be 72 feet. Therefore,

    72 = 2 * 3.14 * r

    72 = 6.28r

    r = 72/6.28

    r = 11.46

    The formula for determining the area of a circle is expressed as

    Area = πr²

    Area of circular garden = 3.14 * 11.46²

    Area = 412.4 ft²

    If the garden is square shape, the length if each side would be

    72/4 = 18 feet

    Area of the square shaped garden would be

    Area = 18² = 324 ft²

    The difference between the area of the circular garden and the square garden is

    412.4 - 324 = 88.4 ft²
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