Question

The radius of a circle is 5 miles. What is the area of a sector bounded by a 110° arc?

a) 10.47 square miles
b) 8.17 square miles
c) 6.28 square miles
d) 7.64 square miles

Answer 1

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.