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WAEC Mathematics 2022 Question 22

Question 22

Mensuration of Plane Shapes

In the diagram, ∠POQ = 150° and the radius of the circle PSQR is 4.2cm. [Take π = 22/7] Find the area of the sector OPSQ.

Diagram for this question
  1. A.15.40cm2
  2. B.17.64cm2
  3. C.23.10cm2
  4. D.32.34cm2
Show the answer and explanation

Answer: D (32.34cm2)

Explanation

Sector OPSQ is the major sector, with angle 360° − 150° = 210°. Area = (210/360) × (22/7) × 4.22 = 32.34 cm2.