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

Given: 

A cow is tied with a rope of length $14\ m$ at the corner of a rectangular field of dimensions $20\ m\times 16\ m$.

To do: 

We have to find the area of the field in which the cow can graze.

Solution:

Area grazed by cow $=\frac{1}{4}^{th}$ area of circle with radius $14\ m$.

$=\frac{1}{4}\times \pi r^2$

$=\frac{3.14\times14\times14}{4}$

$=153.86\ m^2$

The area that the cow can graze is $153.86\ m^2$ .

Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

117 Views

Kickstart Your Career

Get certified by completing the course

Get Started