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JSCE Mathematics 2022 Objective — Question 6

Question 6 of 80 from the Junior Secondary Certificate Examination (JSCE) Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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The area of a sector of a circle of radius 8cm is 45cm². Find the size of the angle subtended at the centre of the circle, correct to one decimal place. [Take π = 22/7]

  • A. 45.0°
  • B. 64.2°
  • C. 80.5°Correct
  • D. 99.5°

Explanation

45 = (θ/360) × 22/7 × 64, so θ = (45 × 360 × 7)/(22 × 64) = 80.5°.

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