A horse is tied to a peg at one corner of a square shaped grass field of side 15m by means of a 5m long rope ( see fig.12.11). Find the increase in the grazing area if the rope were 10m long instead of 5m.
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Step-by-step explanation:
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 =4π×r2=43.14×5×5
=19.625m2
If the length of rope is increased to 10m then the new radius ,=10m
∴ Area of new quadrant =43.14×10×10
=78.5m2
∴ Increase in grazing area =78.5−19.625=58.875m2
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