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The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter...

Mathematics
WAEC 1993

The angle of a sector of a circle radius 10.5cm is 120°. Find the perimeter of the sector [Take π = 22/7]

  • A. 22cm
  • B. 33.5cm
  • C. 43cm
  • D. 66cm
  • E. 115.5cm
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Correct Answer: Option C
Explanation

Perimeter of a sector = \(2r + \frac{\theta}{360} \times 2\pi r\)

= \(2(10.5) + \frac{120}{360} \times 2 \times \frac{22}{7} \times 10.5\)

= \(21 + 22\)

= 43 cm


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