Question

A horse is placed for grazing inside a rectangular field $70m$ by $52m$ and is tethered to one corner by a rope $21m$ long. How much area can it graze?

Answer 1

Given:

Rectangular field $70m$ by $52m$ and rope $r=21m$ long.

Area of grass grazed by horse = Area of the sector of the radius $r$ $=\frac{\theta }{{360}^0}\times \pi r^2$

$=\frac{{90}^0}{{360}^0}\times \frac{22}{7}\times 21\times 21$

$=\frac{693}{2}=346.5{cm}^2$