Question

What is the area of a sector with radius 6" and measure of arc equal to 120°?

A) 4π sq. in.
B) 6π sq. in.
C) 12π sq. in.
D) 36π sq. in.

Answer 1

Area of sector=θr²/2 where θ is the angle of the sector in radians.
120°=2π/3,
Area=(2π/3)x(6x6)/2=12π square inch
The correct answer is C.