40.4k views
0 votes
What is the area of a sector with radius 6" and measure of arc equal to 120°?

User JHH
by
5.8k points

1 Answer

2 votes
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

What is the area of a sector with radius 6" and measure of arc equal to 120°?-example-1
User Ryan Kennedy
by
5.9k points