Respuesta :
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
The difference between the area of the circular garden and the square garden is [tex]88.4 ft^2[/tex]
Calculation of the difference:
We know that
The perimeter of a circle should be
[tex]Perimeter = 2\pi r[/tex]
Here
r shows radius of the circular garden.
Now the radius should be
72 = 2 × 3.14 × r
72 = 6.28r
r = 11.46
Now the area of a circle should be
Area = πr²
= 3.14 × 11.46²
= 412.4 ft²
Since the garden is a square shape, so the length of each side should be
[tex]= 72\div 4[/tex]
= 18 feet
Now the area should be = 18² = 324 ft²
So, finally the difference is
= 412.4 - 324
= 88.4
Learn more about area here: https://brainly.com/question/17397308
