Answer:
19.55 square km
Step-by-step explanation:
Area of a circle is given by A = πr²
And area of it's sector is given by the formula,
A = [tex]\frac{\theta}{360}\times (\pi r^2)[/tex]
Here, r = Radius of the circle
θ = Angle at the center formed by the arc
Substituting values in the given formula,
Area = [tex]\frac{35}{360}\times \pi (8)^2[/tex]
= [tex]\frac{2240\pi}{360}[/tex]
= 19.547
≈ 19.55 square km
Therefore, area of the sector will be 19.55 square km.
