Discussion

Explanation:

Let R be the radius of each circle. Then 2 $\frac{\pi R^2}{2\pi R}=\frac{2\pi R}{\pi R^2}$ which implies that $\frac{R}{2}=\frac{2}{R},$ i.e., R² = 4, i.e. R = 2.
Then the length of the square is 8. Thus, the area of the square is 64, while the area covered by each coin is π2² = 4π. Since there are four coins, the area covered by coins is 4(4π ) = 16π.
Hence, the area not covered by the coins is 64 – 16π = 16(4 – π ).

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