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Verified Answer :

redfirearne

\(A= \frac{ \pi r^{2} S}{360}\)
\(360A= \pi r^{2} S\)
\(\frac{360A}{ \pi r^{2} } = S\)

So the answer is D. Hope this helps :)

Answer:  Fourth option is correct.

Step-by-step explanation:

Since we have given

S be the angle of sector.

r be the radius of the sector.

A be the area of the sector .

Now, we have given the equation:

\(A=\frac{\pi r^2S}{360}\)

Now, we want to solve it for 'S'.

So, it will become,

\(A=\frac{\pi r^2S}{360}\\\\360A=\pi r^2S\\\\\frac{360A}{\pi r^2}=S\)

Hence, Fourth option is correct.