Question

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

Answer 1

The area of a sector = 0.5 * radius^2 * central angle measure (in radians)

So that:


`Area_(sector)= (1)/(2) * 6^2* (120)/(180)*\pi=12\pi=37.69911 \\ Area_(sector)=37.7` sq in