Find the area of the shaded region in the figure Round your
Find the area of the shaded region in the figure. (Round your answer to two decimal places.)
Solution
r = 3
Area of sector with 120 deg = pi(3)^2(120/360) = 9pi/3 = 3pi = 9.42
Area of triangle with 120deg angle and two sides equal to 3 units = (1/2)*3*3sin120
=3.90
Area of pink area = 9.42 -3.90 = 5.52
