Answer:
Area = 1125mi
Step-by-step explanation:
Area of sector = [tex]r^2 *\frac{\alpha }{2}[/tex]
[tex]r^{2} =5^{2} =25[/tex]
[tex]25*\frac{\alpha}{2}[/tex]
[tex]25*\frac{90}{2} =25*45=1125[/tex]
[tex]\alpha[/tex] = angle
[tex]r[/tex] = radius
radius is 5mi
in this case the angle is 90°
A = 1125mi
you can also solve by using circle area which is [tex]\pi r^{2}[/tex]
then divide by 4 because this is 1/4 of the circle.
Hope this helps
