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.
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The length of the rope = (1/2) side of the square plot
This is because horses cannot reach one another.
Thus, the length of the rope = 63/2 = 31.5 m
The area covered by each horse = The area of sector with radius of 31.5 m .
Total area covered by the four horses = 4* area of sector of radius 31.5 metres = Area of circle of radius 31.5m
Area left ungrazed by the horses = Area of the square field – Area covered by the four horses = (63)2 – (22/7)*31.5*31.5 = 3969 – 3118.5 = 850.5 m2
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Answer: 378 cm
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