Question

A university would like to create a circular eating area with picnic tables. the eating area will have small plants that make a path to create individual sections that form sectors. the angle formed by the plants is 0=120 degrees, and the radius is r = 9m. find the area of each sector. a. 3(pi)m(squared) b. 6(pi)m(squared) c. 27(pi)m(squared) d. 54(pi)m(squared)

Answer 1

Area of each of the three sectors is equal to one-third of the circular area, which is
A=pi r^2 = pi (9)^2=81 pi
So area of each of the three sectors is 81pi /3=27 pi  (m^2).