Question

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

Answer 1

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