Latest TCS Aptitude Question SOLUTION: Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of adjacent side of another square field of side 20sqrt2. What is total grazing a

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Two goats are tethered to diagonally opposite vertices of a field formed by joining the mid points of adjacent side of another square field of side 20sqrt2. What is total grazing area of two goats?

Asked In TCS Amisha Agarwal (11 years ago)

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Mita Pan  (11 years ago)

The side of the square=20sqrt2 the length of side of of the field=sqrt((10sqrt2)^2+(10sqrt2)^2)=20 so 1 goat will graze =pi.r^2=400pi
two will graze=2*400pi=800pi

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Arijit Dutta   (11 years ago)

ans- 400 sq units

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VISHAKHA BHATTACHARJEE  (11 years ago)

ans- 800sq units

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ritesh dewangan  (11 years ago)

please explain it....

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satyam shivam  (11 years ago)

ans is 400 sq units

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Souvik Gupta Sharma  (11 years ago)

ans-25
diagonal=2sqrt2*side of a square;
20sqrt2=2sqrt2* side of a square;
so,side=10
side of grazing area=10/2=5;(field is formed by joining the midpoints)
therefore,grazing area=5*5=25

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DHRUV KUMAR  (11 years ago)

the tethered goats grazes the grass in semicicle manner (2*half of semicircle).
so the side is 10/2=5
and the grazed area is 39.4

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kodali kranthi  (11 years ago)

here ...the square field is formed by joining mid points of a square ..of side 20sq 2 ... so ..the field has a side of 10 sq 2 ... so ..
case 1: from one corner .... take a circle of 5 sq 2 ...the area is 50 pi ...the field is 50 pi /4 ... similatily to case 2 ..results ....25 pi units

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sravani  (10 years ago)

side of given square=square root (5).
we get new square side=square root(5/2)
so, area=5/2

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neha  (10 years ago)

diagonal of the inner square would be (10 sqrt 2 )units.
so the total area grazed by one goat would be (1/2)(pie *(10sqrt2)^2)=100 sq units.
so by goats it would be 100*2=200 sq units.

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