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Question

Four horses are tethered with equal ropes at 4 corners of a square field of side 70 m so that they just can reach one another. Find the area left ungrazed by the horses.

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Solution

Given, side of a square = 70 m
Also, four horses are tethered with equal ropes at 4 corners of the square field.
Hence, each horse can graze upto 35 m of distance along the side.

Area of the square field =Side×Side
=70×70
=4900 m2
The grazed area in making a complete circle by taking all the four grazed parts.
So, area of grazed part =πr2
=227×35×35 [ r = 35m]
=22×5×35
=3850 m2
Area left ungrazed by the horses = Area of square field - Area of grazed part
=4900 - 3850
=1050m2


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