Question

A horse is tied to a pole fixed at one corner of a $30m\times 30m$ square field of grass by a $10m$ long rope. $(\pi =3.14)$. Find the area of that part of the field in which the horse can graze. and represent the answer in the nearest integer.

Answer 1

The area of the field in which the horse can graze is one-fourth of the circle of radius $=10m$
Area of a circle $=\pi r^2$
Hence, area of the field in which the horse can graze $=\frac{1}{4}\times \frac{22}{7}\times 10\times 10=78.5$ sq m