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WAEC Mathematics 1992 Question 18

Question 18

Mensuration of Plane Shapes

The diagram below shows the shaded segment of a circle of radius 7cm. If the area of the triangle OXY is 12¼cm2, calculate the area of the segment. (Take π = 22/7)

Diagram for this question
  1. A.5/12cm2
  2. B.7/12cm2
  3. C.11/6cm2
  4. D.2 1/3cm2
  5. E.6 1/6cm2
Show the answer and explanation

Answer: B (7/12cm2)

Explanation

Sector area = (30/360) × 22/7 × 7 × 7 = 77/6 = 12 5/6 cm2. Segment = sector − triangle = 12 5/6 − 12¼ = 7/12 cm2.