A cow is tied with a rope of length 14m at the corner of a rectangle field of dimensions 20m\times 16m, find the area of the field in which the cow can graze.
A cow is tied with a rope of length 14m at the corner of a rectangle field of dimensions 20m\times 16m, find the area of the field in which the cow can graze.

As per the question we can say that,

The dotted portion indicated the area over which the cow can graze.

It’s clearly seen that, the shaded area is the area of a quadrant of a circle of radius equal to the length of the rope.

So, the required area =1/4\times \pi {{r}^{2}}

=1/4\times 22/7\times 14\times 14

=154

Therefore, the area of the field in which the cow can graze is 154c{{m}^{2}}