Given the Circle below with radius r,
[tex]\text{Where r = 8km, }\phi=144^0\text{ and }\pi=\pi[/tex]
The formula for the area, A, of the sector is given below as,
[tex]A=\frac{\phi}{360^0}\times\pi r^2[/tex]
Substituting for r and the ∅ into the formula above,
[tex]\begin{gathered} A=\frac{144^0}{360^0}\times\pi\times8^2 \\ A=\frac{2}{5}\times\pi\times64=25\frac{3}{5}\pi km^2 \end{gathered}[/tex]
Hence, Area A of the sector is 25 3/5 km²
