Question : In a circle of radius 42 cm, an arc subtends an angle of 60° at the centre. Find the length of the arc.
$\left(\right.$ Take $\left.\pi=\frac{22}{7}\right)$
Option 1: 44 cm
Option 2: 21 cm
Option 3: 22 cm
Option 4: 42 cm
Correct Answer: 44 cm
Solution :
Given: Radius, $r$ = 42 cm
Angle subtended = $60^\circ$
We know that,
Length of the arc
= $\frac{\theta}{360^\circ}\times 2\pi r$
= $\frac{60^\circ}{360^\circ}\times 2\times\frac{22}{7}\times42$
= $\frac{1}{6}\times 2\times\frac{22}{7}\times42$
= $44$ cm
Hence, the correct answer is 44 cm.
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