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Question
Four horses are tethered with equal ropes at 4 corners of a square field of side 70 metres so that they just can reach one another. Find the area left ungrazed by the horses.
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 is making a complete circle by taking all the four grazed parts.
So, area of grazed part = πr2
= `22/7 xx 35 xx 35` ...[∵ r = 35 m]
= 22 × 5 × 35
= 3850 m2
Area left ungraded by the horses = Area of square field – Area of grazed part
= 4900 – 3850
= 1050 m2
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