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WAEC Mathematics 2014 Objective — Question 39

Question 39 of 50 from the West African Examinations Council (WAEC) Mathematics 2014 Objective paper, with the correct answer and a full explanation.

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A chord subtends an angle of 120° at the centre of a circle of radius 3.5cm. Find the perimeter of the minor sector containing the chord. [Take π=22/7]

  • A. 14⅓cmCorrect
  • B. 12⅚cm
  • C. 8⅓cm
  • D. 7⅓cm

Explanation

Perimeter = arc length + 2r = (120/360)×2×(22/7)×3.5 + 2(3.5) = 7.333+7 = 14⅓cm.

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