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A horse, a cow and a goat are tied, each by ropes of length $14$ m, at the corners A, B and C respectively, of a grassy triangular field ABC with sides of lengths $35$ m, $40$ m and $50$ m. Find the total area of grass field that can be grazed by them.
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Required Area = $$\begin{aligned}& \frac{22}{7} \times 14 \times 14 \times \frac{180}{360} \\ & = 308\end{aligned}$$ m$^2$