Question : Find the length of the arc if the angle at the centre of the circle of radius 7 units is 60°.
Option 1: $4$ units
Option 2: $\frac{11}{4}$ units
Option 3: $\frac{22}{3}$ units
Option 4: $21$ units
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Correct Answer: $\frac{22}{3}$ units
Solution :
Given:
The radius of the circle: 7 units
The angle at the centre is 60°.
Length of arc = $\frac{θ}{360°} × 2πr$, here $r$ is the radius and $\theta$ is the angle at centre.
⇒ Length of the arc = $\frac{60°}{360°} × 2 × \frac{22}{7} × 7=\frac{22}{3}$ units
Hence, the correct answer is $\frac{22}{3}$ units.
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