3 cows are tied to pegs at each corner of a triangular field with equal ropes 5 meter where measure of each of field be 15 meter the area of that part of the field in which cows can not graze (use pie =3.14 and root 3 = 1.732)
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Side of square=15m
Length of rope=5m=radius
The area available for horse to graze is nothing but "Area of Quadrant of a circle'
∴ Area of Quadrant =
4
π×r
2
=
4
3.14×5×5
=19.625m
2
If the length of rope is increased to 10m then the new radius ,=10m
∴ Area of new quadrant =
4
3.14×10×10
=78.5m
2
∴ Increase in grazing area =78.5−19.625=58.875m
2
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