Area of a sector of a circle of radius 36, cm | vedclass

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Question

Let the central angle (in degrees) be $	heta$.

So, $\frac{\pi 	imes(36)^{2} 	heta}{360}=54 \pi$

Or $	heta=\frac{54 	imes 360}{36 	imes 36}

Vedclass · Accepted Answer

$3 \pi$

Vedclass · Answer

Let the central angle (in degrees) be $	heta$.

So, $\frac{\pi 	imes(36)^{2} 	heta}{360}=54 \pi$

Or $	heta=\frac{54 	imes 360}{36 	imes 36}=15$

Now, length of the arc $=\frac{	heta}{360} 	imes 2 \pi r$

$=\frac{15}{360} 	imes 2 \pi 	imes 36\, cm$

$=3 \pi \,cm$

Area of a sector of a circle of radius $36\, cm$ is $54 \pi \,cm ^{2}$. Find the length of the corresponding arc of the sector. (in $cm$)

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