Question

The surface area of the top surface of the water in a circular swimming pool is about 206 square feet. Estimate the radius of the pool, to the nearest foot. Question 22 options: about 10 feet about 8 feet about 11 feet about 14 feet

Answer 1

we know the area of the circular pool is 206 ft², thus


`\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ A=206 \end{cases}\implies 206=\pi r^2 \\\\\\ \cfrac{206}{\pi }=r^2\implies \sqrt{\cfrac{206}{\pi }}=r`