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JAMB Mathematics 2013 Objective — Question 29

Question 29 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

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A chord of a circle subtends an angle of 120° at the centre of a circle of diameter 4√3 cm. Calculate the area of the major sector.

  • A. A. 32πcm²
  • B. B. 4πcm²
  • C. C. 8πcm²Correct
  • D. D. 16πcm²

Explanation

r=2√3; minor sector area=(120/360)π(12)=4π; major sector=12π−4π=8πcm².

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