## Problem 1181

Find the area of a sector of a circle having radius r and central angle θ.

r = 70.0 mi, θ = 100°

**Solution:-**

First , multiply the degree measure of the angle by and simplify to convert to radians.

100°() = radian

The area A of a sector of a circle of radius r and central angle θ (in radians) is given by the following formula.

A = r^{2}θ,θ in radians

Substitute the values r = 70.0 and θ = radian into the formula shown above and simplify.

A = (70.0)^{2} () 4276.1 mi^{2}

Therefore, the area of the sector is approximately 4276.1 mi^{2}.