Question

A swimming pool is in the form of a semicircular-sided figure

Answer 1

Given:

A swimming pool is in the form of a​ semicircular-sided figure

Required:

What is the area of the 3 ft wide surrounding the pool?

Step-by-step explanation:

We will find area as:

`\begin{gathered} A=\text{ Area of semicircle including side walk }-\text{ Area of semicircle without } \\ \text{side walk} \end{gathered}`

Now, radius for smaller semicircle is 5 ft and radius for larger semicircle (5 + 3 = 8)

So,

`\begin{gathered} A=((3.14*8^2)/(2))-((3.14*5^2)/(2)) \\ A=100.48-39.25 \\ A=61.23ft^2 \end{gathered}`

If we take walk on both sides, we will multiply it with 2

A = 2*61.23

A = 122.46 ft square

Now, we have one side of bigger rectangle is 10 + 3 + 3 = 16 ft

So,

`\begin{gathered} A\text{ = area of rectangle - area of square} \\ A=(16*10)-10^2 \\ A=60ft^2 \end{gathered}`

Finally,

`\begin{gathered} A=122.46+60 \\ A=182.46ft^2 \end{gathered}`

Answer:

Hence, above is the answer.