An arc of a circle of radius 14cm subtends angle 300o at the center. Find the perimeter of the sector formed by the arc

  • A 14.67cm
  • B 42.67cm
  • C 101.33cm
  • D 543.33cm
waec 2005mathematics

The correct answer is C. 101.33cm

The perimeter of the sector \(=2r+\frac{\theta}{360}\times 2\pi r \\

\Rightarrow 28 + \frac{300}{360} \times \frac{2}{1} \times \frac{22}{7}\times \frac{14}{1} = \frac{220}{3}+28\\

73.133+28=101.33cm\)

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