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WAEC Mathematics 1996 Question 20

Question 20

Mensuration of Plane Shapes

In the diagram below, O is the centre of the circle of radius 3.5cm, <POQ = 60°. [Take π = 22/7]
What is the area of the minor sector POQ?

Diagram for this question
  1. A.148½cm2
  2. B.77cm2
  3. C.32 1/12cm2
  4. D.6 5/12cm2
  5. E.1 5/6cm2
Show the answer and explanation

Answer: D (6 5/12cm2)

Explanation

Area = 60/360 × 22/7 × 3.5 × 3.5 = 1/6 × 38.5 = 6 5/12 cm2.