Question

A circular pool with a radius of 3 m sits in a rectangular yard that is 14 m by 8 m. What area of the yard is NOT covered by the pool?

Answer 1

Step 1:

In this question, we are given the following:

A circular pool with a radius of 3 m sits in a rectangular yard that is 14 m by 8 m. What area of the yard is NOT covered by the pool?

Step 2:

The area of the yard that is NOT covered by the pool is given as :

`\text{Area of the Rectangular yard - Area of the circular pool}`
`\text{( Length }X\text{ Breadth ) - ( }\pi r^2\text{ )}`
`\begin{gathered} (\text{ 14 X 8 ) - (}(22)/(7)X\text{ 3 X 3 )} \\ =\text{ 112 - (}(198)/(7)) \\ =\text{ 112 - 28.28571429} \\ =\text{ 83.71428571} \\ \approx83.71m^2\text{ ( 2 decimal places)} \end{gathered}`

CONCLUSION:

The area of the yard NOT covered by the pool is:

`83.71m^2\text{ ( 2 decimaal places)}`