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A sector of a circle radius 14 cm subtends an angle 135° at the center of the ...

A sector of a circle radius 14 cm subtends an angle 135° at the center of the circle. What is the perimeter of the sector? Take \(\pi = \frac{22}{7}\)
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  • A 47cm
  • B 61cm
  • C 88cm
  • D 231cm
Correct Answer: Option B
Explanation:
Perimeter of the sector = \(2r + \frac{\theta}{360} \times 2\pi r\)
= \(2(14) + \frac{135}{360} \times 2 \times \frac{22}{7} \times 14\)
= \(28 + 33\)
= 61 cm

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