Latest self Aptitude Question SOLUTION: Four horses are tethered at four corners of a square plot of side 14 metres (m) so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2

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(#M40020975) SELF question Keep an EYE

Four horses are tethered at four corners of a square plot of side 14 metres (m) so that the adjacent horses can just reach one another. There is a small circular pond of area 20 m2 at the centre. Find the ungrazed
area.?

vikash singh (10 years ago)

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Devendra Marghade  (10 years ago)

22 m^2
AS horses are tethered at corners & adjacent horse can just reach one another,
so Area grazed by every horse will be 1/4 of the area formed by radius=(1/2)*side od a square plot
Area grazed=(1/4)*Pi*7^2=Pi*49/4
4 such areas=4(Pi*49/4)=(22/7)*49=154 m^2
Ungrazed Area=Total Area of square plot-(Area grazed+Area of pond)
=14^2-(154+20)=196-174=22 m^2

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