InterviewSolution
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Two Goats Are Tied With A Rope Of Length 40m Outside Of A Rectangular Shed Of Dimensions 50m X 30m. The Goats Are Tied To Different Corners Which Lie On The Opposite Ends Of A Diagonal Of The Shed. What Is The Area In Which The Two Goats Can Eat Grass, If They Choose Not To Eat In The Common Aproachable Area? |
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Answer» Given rope of length = 40m (radius) Area of SEMI circle =(pi*r^2)/2 = (1600 * pi)/2 = 800*pi ---(1) Area of quarter circle = (1/2 * 800 * pi) = 400*pi ----- (2) Area of sector is = r*r*(pi/2)/2 = 25*pi ----- (3) By ADDING above eq. (1) (2) & (3) Total area = 1225*pi As PER quesiton there are 2 goats so area = 1225*pi*2 = 2450pi. Given rope of length = 40m (radius) Area of semi circle =(pi*r^2)/2 = (1600 * pi)/2 = 800*pi ---(1) Area of quarter circle = (1/2 * 800 * pi) = 400*pi ----- (2) Area of sector is = r*r*(pi/2)/2 = 25*pi ----- (3) By adding above eq. (1) (2) & (3) Total area = 1225*pi As per quesiton there are 2 goats so area = 1225*pi*2 = 2450pi. |
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