Question

4. The Parks Department wants to put tile

around the outside of the circular wading
pool. Estimate the number of square feet
of tile that will be needed.
20 ft
20 ft
7 ft

Answer 1

• 
  `\rm Area = 246 \ ft.^2`

Explanation:

To find:-

• The area of tiles needed .

Answer:-

We can see that inside a square area, the circular pool is present. To find out the area excluding the circle inside the square, we need to subtract the areas of square and the circle.

As we know that ,

Area of square:-

• 
  `\longrightarrow A = \ell^2 \\`

where "l" is the side length of the square.

Area of circle:-

• 
  `\longrightarrow A = \pi r^2\\`

where "r" is the radius of the circle.

From the data given in the figure, we can see that the side length of the square is 20 ft and the radius of the circle is 7 ft . So , on substituting the respective values, we have;

`\longrightarrow A = \ell^2 - \pi r^2\\`

`\longrightarrow A = (20ft)^2 - 3.14 (7ft)^2 \\`

`\longrightarrow A = 400ft^2 - 154 ft^2\\`

`\longrightarrow \boxed{\boldsymbol{ A = 246\ ft^2 }} \\`

Hence the area of tiles needed would be 246 ft.² .