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WAEC Mathematics 2008 Question 37

Question 37

Mensuration of Plane Shapes

XY is a chord of circle centre O and radius 7 cm. The chord XY which is 8 cm long subtends an angle of 120° at the centre of the circle. Calculate the perimeter of the minor segment. [Take π = 22/7]

  1. A.14.67 cm
  2. B.22.67 cm
  3. C.29.33 cm
  4. D.37.33 cm
Show the answer and explanation

Answer: B (22.67 cm)

Explanation

Minor arc = 120/360 × 2 × 22/7 × 7 = 14.67 cm. Perimeter of the segment = arc + chord = 14.67 + 8 = 22.67 cm.