A piece of wire $22$ cm long is bent into the form of an arc of a circle subtending an angle of $60°$ at its centre. Find the radius of the circle. $\left( ext{Use } \pi = \frac{22}{7} ight)$

Question

A piece of wire $22$ cm long is bent into the form of an arc of a circle subtending an angle of $60°$ at its centre. Find the radius of the circle. $\left(	ext{Use } \pi = \frac{22}{7}ight)$

Accepted Answer

Step 1: Arc length $= \frac{	heta}{360°} 	imes 2\pi r$
$22 = \frac{60}{360} 	imes 2 	imes \frac{22}{7} 	imes r$
Step 2: $\Rightarrow r = 21$ cm

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