Question : The area of the sector of a circle (in cm2) of radius 7 cm and central angle $60^{\circ}$ is: $\left(\right.$Take $\left.\pi=\frac{22}{7}\right)$
Option 1: $\frac{77}{2}$
Option 2: $77$
Option 3: $\frac{77}{3}$
Option 4: $\frac{77}{4}$
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Correct Answer: $\frac{77}{3}$
Solution :
Area of the sector of a circle = $\frac{\theta}{360^{\circ}}\times \pi r^2$
$ = \frac{60}{360}\times \frac{22}{7}\times 7\times 7$
$ = \frac{1}{6}\times 22\times 7$
$ = \frac{77}{3}$ cm
2
Hence, the correct answer is $\frac{77}{3}$.
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