Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot r...........

Quantitative Aptitude ( CCS) Mensuration 2D

Four horses are tethered at 4 corners of a square field of side 70 metres so that they just cannot reach one another. The area left ungrazed by the horses is:

1050 sq.m

1250 sq.m

1500 sq.m

1750 sq.m

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Explanation:

The length of the rope in which the horses tied should be equal to half of the side of the square plot so that they just cannot reach one another.
Therefore, the length of the rope is 35m (70/2).
The area covered by each horse should be equal to the area of sector with radius of 70/2 = 35m(length of the rope).
Total area covered by the four horses = 4* area of sector of radius 35 metres = Area of circle of radius 35m.
Area left ungrazed by the horses = Area of square field - Area covered by four horses.
= 70² - (22/7)*35*35 = 4900 - 3850 = 1050 sq.m.

Hence, option 1 is the correct answer.