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.

Answer 1

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