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WAEC Mathematics 1997 Question 19

Question 19

Mensuration of Plane Shapes

Find the radius of a circle in which an arc of length 44cm subtends angle 200° at the centre of the circle. {Take π = 22/7}

  1. A.3.9cm
  2. B.12.6cm
  3. C.25.2cm
  4. D.38.4cm
  5. E.124.5cm
Show the answer and explanation

Answer: B (12.6cm)

Explanation

Arc = θ/360 × 2πr, so 44 = 200/360 × 2 × 22/7 × r, giving r = 12.6 cm.