A piece of wire $20$ cm long is bent into the form of an arc of a circle of radius $\frac{60}{\pi}$ cm. The angle subtended by the arc at the centre of the circle is:

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Step 1: Arc length $= \frac{	heta}{360°} 	imes 2\pi r$. So $20 = \frac{	heta}{360°} 	imes 2\pi 	imes \frac{60}{\pi} = \frac{	heta}{360°} 	imes 120 \Rightarrow 	heta = 60°$.

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