Answer:
The area of sector is [tex]25.12 miles^2[/tex]
Step-by-step explanation:
Radius of circle = 4 miles
We are supposed to find the area of a sector bounded by a 180 arc
[tex]\theta = 180^{\circ}[/tex]
Area of sector =[tex]\frac{\theta}{360^{\circ}} \pi r^2[/tex]
Area of sector = [tex]\frac{180^{\circ}}{360^{\circ}} \times \frac{22}{7} \times 4^2[/tex]
Area of sector = [tex]25.12 miles^2[/tex]
Hence The area of sector is [tex]25.12 miles^2[/tex]