Answer
Area of the shaded portion = 102.0 square cm
Step-by-step explanation:
Radius is given as 7cm
Angle = 150 degrees
Area of shaded area = area of circle + area of triangle
Area of circle = pi x r^2
where pi = 3.14
radius = 7cm
Area of circle = 360 - 150/360 x pi x r^2
Area = 210/360 x 3.14 x 7^2
Area = 0.5833 x 3.14 x 49
Area = 89.75 square cm
Area of triangle = 2 * (1/2) * sin75 * 7 cos 75 x 7
Area of triangle = sin 75 x 7 x cos 75 x 7
sin 75 = 0.9659
cos 75 = 0.2588
Area = 0.9659 x 7 x 0.2588 x 7
Area = 12.25 square cm
Area of shaded portion = 89.75 + 12.25
Area of the shaded portion = 102.0 square cm