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. About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi.

Question

Jaylen Donaldson

Mathematics

26 December, 01:44

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. About how many feet of fencing are needed to go around the pool path? Use 3.14 for Pi.

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Answers (1)

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Nataly Lin · Answer 1

200.96 feet

Step-by-step explanation:

We have a pool with a radius of 28 feet.

They also tell us that there is a path around the pool and its width is 4 feet.

Thus:

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) feet

= 32 feet

To find the length of the fence, we need to find the circumference of the outside of the pool path. The radius is then equal to 32 feet.

The circumference of the outer edge of the pool path would be equal to the perimeter.

p = 2 * pi * r

replacing

p = 2 * 3.14 * 32

p = 200.96 feet

therefore 200.96 feet are needed