Question 28
Mensuration of Plane ShapesA chord of a circle subtends an angle of 120° at the centre of a circle of diameter 4√3cm. Calculate the area of the major sector.
- A.4πcm2
- B.32πcm2
- C.16πcm2
- D.8πcm2
Show the answer and explanation
Answer: D (8πcm2)
Explanation
The radius is 2√3 cm, so r2 = 12. The major sector has angle 360° − 120° = 240°, giving area (240/360) × π × 12 = 8π cm2.