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spayn [35]
3 years ago
6

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 th

e fencing. What is the difference between the area of the circular garden and the square garden? Use 3.14 for pie
Mathematics
1 answer:
Fed [463]3 years ago
5 0

Answer:

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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