Question 5 Cow is tied with a rope of length 14 m at the corner of a rectangular field of dimensions 20m×16m. Find the area of the field in which the cow can graze.
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Solution
Let ABCD bea rectangular field of dimensions 20m×16m. Suppose a cow is tied at a point A let length of rope be AE= 14 m = r (say)
∴Area of the filed in which the cow can graze
= Area of sector AFEG =θ360∘×πr2
=90360×π(14)2
[ since, the angle between two adjacent sides of a rectangle is 90∘ ]