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WAEC Mathematics 2015 Objective — Question 48

Question 48 of 50 from the West African Examinations Council (WAEC) Mathematics 2015 Objective paper, with the correct answer and a full explanation.

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In a circle radius r cm, a chord 16√3 cm long is 10cm from the centre of the circle. Find, correct to the nearest cm, the value of r.

  • A. 22cm
  • B. 17cmCorrect
  • C. 16cm
  • D. 15cm

Explanation

Half-chord = 8√3. r² = (8√3)²+10² = 192+100 = 292, r=√292≈17cm.

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