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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 $153.86\ m^2$ .
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