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Verified Answer :

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\(\sf a=\pi r^2s\times360\\Divide\ by\ \pi r^2\times360\\ \frac{a}{\pi r^2\times360}= \frac{\pi r^2s\times360}{\pi r^2\times360}\\ \frac{a}{\pi r^2\times360}=s\\\\{\boxed{\sf s=\frac{a}{\pi r^2\times360}}\)

S=360a/pi r^{2}

or

S=360a/pi r squared by 2