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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


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 21st Jan, 2024

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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