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?

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,

$\begin{gathered} A=(\frac{3.14\times8^2}{2})-(\frac{3.14\times5^2}{2}) \\ A=100.48-39.25 \\ A=61.23ft^2 \end{gathered}$

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,

$\begin{gathered} A\text{ = area of rectangle - area of square} \\ A=(16\times10)-10^2 \\ A=60ft^2 \end{gathered}$

Finally,

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

Answer:

Hence, above is the answer.