Question : What will be the perimeter (in cm) of the sector of a circle of radius 4.9 cm having a central angle 144° (use $\pi=\frac{22}{7})?$
Option 1: 21.12
Option 2: 23.32
Option 3: 23.23
Option 4: 22.12
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Correct Answer: 22.12
Solution :
Perimeter of a sector = $\frac{θ}{360} \times 2\pi r + 2r$
$= \frac{144}{360} \times 2\times \frac{22}{7} \times 4.9 \ + \ 2\times 4.9$
$= 12.32 + 9.8$
$= 22.12\ \mathrm{cm}$
Hence, the correct answer is 22.12.
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