The area of a sector is calculated by the formula
[tex]A_{\text{sector}}=\frac{\theta}{360^0}\times\pi r^2[/tex][tex]\begin{gathered} \theta\text{ is the angle bounded by the sector which} \\ 180^0 \\ \text{radius,r =1/2 of diameter} \end{gathered}[/tex][tex]r=\frac{20m}{2}=10m[/tex]
Substituting the given and radius in the formula
[tex]\begin{gathered} A_{\text{sector}}=\frac{180}{360}\times3.14\times10^2 \\ =\frac{1}{2}\times3.14\times100m^2 \\ =157m^2 \end{gathered}[/tex]
Hence, the area of the bounded sector is 157 square meter
