The diagram is a circle with centre O. Find the area of the shaded portion
-
A.
9((pi – 2) cm^2) -
B.
18(pi cm^2) -
C.
9(pi cm^2) -
D.
36(pi cm^2)
Correct Answer: Option A
Explanation
Area of the quadrant = (frac{1}{4} pi r^2 = frac{1}{4} pi (6)^2)
= (frac{36 pi}{4} = 9 pi )
Area of the triangle = (frac{1}{2} times 6 = 18 times sin 90^o = 18)
Area of shaded portion =(9 (pi ) – 18)cm^2) =
9((pi – 2)cm^2).