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Question
A cow is tethered with a rope of length 35 m at the centre of the rectangular field of length 76 m and breadth 60 m. Find the area of the land that the cow cannot graze?
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Solution
Length of the field l = 76 m
Breadth of the field b = 60 m
Area of the field A = l × b sq.units = 76 × 60 m2
Area of the field A = 4560 m2
Length of the rope = 35 m
Radius of the land that the cow can graze = 35 m
Area of the land that the cow can graze = circle of radius 35 m = πr2 sq.units
π × 35 × 35 m2 = `22/7 xx 35 xx 35 "m"^2`
= 3850 m2
Area of the land the cow cannot graze = Area of the field – Area that the cow can graze
= 4560 – 3860 m2
= 710 m2
Area of the land that the cow cannot graze = 710 m2
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