Answer:
The area of sector is 40π km² or 126 km²
Step-by-step explanation:
The picture above is a Major Sector. So you have to use the formula, A = θ/360×π×r² where r represent the radius of the circle :
[tex]area = \frac{θ}{360} \times \pi \times {r}^{2} [/tex]
Let θ be 225°,
Let r be 8 km,
[tex]A = \frac{225}{360} \times \pi \times {8}^{2} [/tex]
[tex]A = \frac{5}{8} \times \pi \times 64[/tex]
[tex]A = 40\pi \: {km}^{2} [/tex]
[tex]A = 126 \: {km}^{2} \: (3s.f)[/tex]
