Question 30
Mensuration of Plane ShapesThe above diagram is a circle with centre O. Find the area of the shaded portion.
- A.9πcm2
- B.9(π − 2)cm2
- C.18πcm2
- D.36πcm2
Show the answer and explanation
Answer: B (9(π − 2)cm2)
Explanation
The shaded segment is a quarter circle of radius 6cm minus the right triangle: 90/360 × π × 36 − ½ × 6 × 6 = 9π − 18 = 9(π − 2)cm2.