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NABTEB Mathematics 2024 Objective — Question 43

Question 43 of 50 from the National Business and Technical Examinations Board (NABTEB) Mathematics 2024 Objective paper, with the correct answer and a full explanation.

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The area of a sector of a circle radius 7cm is 51.3cm². Calculate, correct to the nearest whole number, the angle of the sector. [Take π=22/7]

  • A. A. 60°
  • B. B. 120°Correct
  • C. C. 150°
  • D. D. 180°

Explanation

Area=(θ/360)×πr². 51.3=(θ/360)×22/7×49=(θ/360)×154. θ=51.3×360/154≈120°.

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