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WAEC Mathematics 2018 Objective — Question 15

Question 15 of 50 from the West African Examinations Council (WAEC) Mathematics 2018 Objective paper, with the correct answer and a full explanation.

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A piece of thread of length 21.4cm is used to form a sector of a circle of radius 4.2cm on a piece of cloth. Calculate, correct to the nearest degree, the angle of the sector. [Take π = 22/7]

  • A. 170°
  • B. 177°Correct
  • C. 182°
  • D. 192°

Explanation

Arc length = 21.4−(2×4.2)=13cm. θ=(13/2πr)×360≈177°.

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