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Question
A goat is tethered with a rope of length 45 m at the centre of the circular grassland whose radius is 52 m. Find the area of the grassland that the goat cannot graze
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Solution
Length of the rope = 45 m = Radius of the inner circle
∴ Area of the circular area that the goat graze = πr2 sq.units
= `22/7 xx 45 xx 45 "m"^2`
= 6364.28 m2
Radius of the grassland = 52 m
Area of the grassland = `22/7 xx 52 xx 52`
= 8,498.28 m2
Area that the goat cannot graze
= Area of the outer circle – Area of the inner circle
= 8498.28 – 6364.28
= 2134 m2
Area of the goat cannot grass = 2134 m2
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