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Q. Two goats are tied to two adjacent corners of a square plot of side $28 m$ with ropes each $14 m$ long. Find the area not grazed by the goats in the plot in $m ^2$.

Mensuration

Solution:

Area not grazed by the goats $=$ (Area of square $)-($ Area grazed by two goats)
The required area $=$ Area of sector of radius $7 cm$ with central angle $90^{\circ}$