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There is a square lawn of side $8$ m inside a circular park of radius $20$ m. Mr. Joseph wants to plant a sapling in the park. The probability that he can plant it outside the lawn is :

- (a)$\frac{32}{400 \pi}$
- (b)$\frac{64}{400 \pi}$
- (c)$\frac{400 \pi - 32}{400 \pi}$
- (d)$\frac{400 \pi - 64}{400 \pi}$
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(D) $\frac{400\pi-64}{400\pi}$