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Question

A cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20 m ×16 m find the area of the field in which the cow can graze?

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Solution

Area that cow can graze will be one fourth the area of the circle with radius 14m.
Area of the ground which cow can graze = (pi x r^2)/4 = (22/7*14*14)/4 = 22*2*14/4 = 11*14 = 154 sq m.
Area of the rectangle = 20x16 = 320 sq m
Area left ungrazed = 320 - 154 = 174 sq m.

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