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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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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 x Side

= 70 x 70

= 4900 m2

The grazed area is making a complete circle by taking all the four parts.

So, area of grazed part = πr2

= 22/7 x 35 x 35

= 22 x 5 x 35

= 3850 m2

Area left ungrazed by the horses = area of square field - Area of grazed part

= 4900 - 3850

= 1050 m2

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