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WAEC Mathematics 2014 Objective — Question 23

Question 23 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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The area of a sector of a circle with diameter 12cm is 66cm². If the sector is folded to form a cone, calculate the radius of the base of the cone. [Take π=22/7]

  • A. 3.0cm
  • B. 3.5cmCorrect
  • C. 7.0cm
  • D. 7.5cm

Explanation

Using arc length = base circumference: r = Rθ/360°, and solving with R=6cm and sector area 66cm² gives r=3.5cm.

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