SOLUTION
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
[tex]\begin{gathered} \text{Area = }\frac{\theta}{360\text{ }}\times\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{ }}\times3.14\times12^2 \\ \\ A\text{ = 0.40277}\times3.14\times144 \\ A\text{ = 182.12} \\ A=182ft^2 \end{gathered}[/tex]
Therefore, the area covered = 182 squared-feet
