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In the adjoining figure, the side of the square is $$\sqrt{\frac{2018}{\pi}}\text{cm}$$. The area of the unshaded region is $$\left(\frac{\pi-2}{\pi}\right)A$$ sq. cms. The value of $$A$$ is
Correct Answer: 1009
The square's area is $$\frac{2018}{\pi}$$, and since its diagonal equals the circle's diameter, the circle's area works out to $$1009$$. The unshaded region is $$1009-\frac{2018}{\pi}=\left(1-\frac{2}{\pi}\right)\times1009=\left(\frac{\pi-2}{\pi}\right)\times1009$$, so $$A=1009$$.
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