The area of circle is
\(A_{\text{circle}}=\pi r^2.\)
Then the area of semicircular region is
\(A_{\text{semicircular region}}=\dfrac{1}{2} \pi r^2.\)
If r=3 m, you have
\(A_{\text{semicircular region}}=\dfrac{1}{2} \pi \cdot 3^2=\dfrac{9\pi}{2}=4.5\pi \approx 14.13\) sq. m.
Answer: \(A_{\text{semicircular region}}=4.5\pi \approx 14.13\) sq. m.
