If the area of a sector of circle of radius 36 cm is $54\pi$ cm$^2$, then the length of the corresponding arc of the sector is:

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Step 1: Area $= \frac{	heta}{360} 	imes \pi r^2 = 54\pi$. $\frac{	heta}{360} 	imes 36^2 = 54$. $\frac{	heta}{360} = \frac{54}{1296} = \frac{1}{24}$. Arc length $= \frac{	heta}{360} 	imes 2\pi r = \frac{1}{24} 	imes 2\pi 	imes 36 = 3\pi$ cm.

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