Find the area of a sector of a circle having radius r and central angle θ.
r = 70.0 mi, θ = 100°
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 = r2θ,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 mi2
Therefore, the area of the sector is approximately 4276.1 mi2.