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WAEC Mathematics 1998 Question 36

Question 36

Mensuration of Plane Shapes

In the diagram, O is the centre of circle PRQ. The radius is 3.5cm and ∠POQ = 50°. (Take π = 3.142) Calculate, correct to one decimal place, the length of arc PQ.

Diagram for this question
  1. A.175.0 cm
  2. B.157.1cm
  3. C.37.7 cm
  4. D.11.0cm
  5. E.3.1cm.
Show the answer and explanation

Answer: E (3.1cm.)

Explanation

Arc PQ = 50/360 × 2 × 3.142 × 3.5 ≈ 3.05, which is 3.1 cm to one decimal place.