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There is 201 feet of fencing are needed to go around the pool path.
Given
A circular swimming pool has a radius of 28 ft.
There is a path all the way around the pool that is 4 ft wide.
A fence is going to be built around the outside edge of the pool path.
A circle has a radius of 28 feet.
A larger circle goes around the smaller circle that is 4 feet wide.
Circumference;
For the length of the fence, we need to find the circumference of the outside of the pool path.
The radius of the outer edge of the pool path would be equal to the radius of the pool plus the width of the path.
= 28 + 4 = 32 feet
The radius is then equal to 32 feet.
The circumference of the outer edge of the pool path would be equal to the perimeter;
[tex]\rm Perimeter = 2\pi r[/tex]
Where r is the radius.
Substitute all the values in the formula;
[tex]\rm Perimeter = 2\pi r\\\\\rm Perimeter = 2\times 3.14 \times 32\\\\Perimeter = 201[/tex]
Hence, there is 201 feet of fencing are needed to go around the pool path.
To know more about perimeter click the link given below.
https://brainly.com/question/6465134
