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JAMB Mathematics 2016 Objective — Question 31

Question 31 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2016 Objective paper, with the correct answer and a full explanation.

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31. Length of an arc l is (θ/360)×2πr. If l = 16π and θ = 80° find the radius r. A. 36cm B. 60cm C. 24cm D. 30cm

  • A. 36cmCorrect
  • B. 60cm
  • C. 24cm
  • D. 30cm

Explanation

l = (θ/360)×2πr → 16π = (80/360)×2πr → r = 16π×360/(80×2π) = 36cm.

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