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An arc of a circle of radius 14cm subtends angle 300o

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

View answer & explanation

Correct answer is C

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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