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Length of Arc of a Sector

Find the peri...

Question

Find the perimeter of a sector whose radius and central angle are $18$ cm and $210^{o}$ respectively.

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Solution

Perimeter of sector $= \frac{θ}{360 °} \times 2 π r + 2 r = \frac{210 °}{360 °} \times 2 \times \frac{22}{7} \times 18 + 2 \times 18$
$= 66 + 36 = 102 c m$

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