Question : Find the length of the arc of the sector of a circle of diameter 7 cm with a central angle of $108^{\circ}$. [Use $\pi=\frac{22}{7}$]
Option 1: 6.6 cm
Option 2: 5.6 cm
Option 3: 13.2 cm
Option 4: 11.2 cm
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Correct Answer: 6.6 cm
Solution :
Diameter of circle = 7 cm
So, radius, $r$ = 3.5 cm
Angle subtended by arc, $\theta$ = 180°
We know, length of arc of a circle = $\frac{\theta}{360°}\times 2\pi r$ = $\frac{108°}{360°}\times 2\pi ×\frac{7}2 = 6.6$ cm
Hence, the correct answer is 6.6 cm.
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