Question

What is the area of the lawn that covered by the sprinkler? Round your answer to the nearest whole number.The water pressure is weakened so that the radius is 12 feet. What is the area of the lawn that will be covered? Round your answer to the nearest whole number

Answer 1

The area covered by the sprinkler would be calculated using 12 feet as the radius of the sector made by the law.

This would be done as follows

`\begin{gathered} \text{Area = }\frac{\theta}{360\text{ }}*\pi r^2\text{ (area of a sector)} \\ \text{Where }\theta\text{ is the angle made by sector = 145} \\ r\text{ = 12 feet} \\ A\text{ = }\frac{145}{360\text{ }}*3.14*12^2 \\ \\ A\text{ = 0.40277}*3.14*144 \\ A\text{ = 182.12} \\ A=182ft^2 \end{gathered}`

Therefore, the area covered = 182 squared-feet