A goat is tied up by a 14m rope at a corner of a grass filled square plot having side of 15m. Calculate the amount of the square plot that it can graze and that it can\'t.pls giv answer with explination???????

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Jan 11th, 2006
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Rakesh

Feb 2nd, 2006

The square side is 15m and the rope is of 14m.When the goat is tied up with the rope of 14m then it can make a semicircle of radius 14m.so calculating the area of the half semicircle and subtracting from the area of a square we can get the area it can graze.
Area of half semicrcle(sector) = (angle it makes between the two sides/360)*(22/7)*r*r
Area of square = side*side
area it graze = area of square - area of half semicirlce.

kaushik

Feb 21st, 2006

area the goat can graze on is one fourth the area of circle with radius 14m. the area which the goat can not graze upon is subracting the quarter area of circle from the area of square.
sol.
area it can graze= 1/4(pi*14*14)
area it cannot graze= 15*15-(1/4(pi*14*14)
pi=22/7= 3.14