Final answer:
To find the area of a sector of a circle, you can use the formula: (angle/360°) x πr². Plugging in the given values, we find that the area of the sector is approximately 10.47 square miles.
Step-by-step explanation:
To find the area of a sector, we will use the formula:
Area of sector = (angle/360°) x πr²
Given: radius = 5 miles, angle = 110°
Plugging in the values, we get:
Area of sector = (110°/360°) x π x 5²
Area of sector = (11/36) x π x 25
Area of sector ≈ 10.47 square miles
Therefore, the correct option is a) 10.47 square miles.