Question

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

Answer 1

Shaded portion shows the area that is grazed by the cow. It is in the form of a quadrant of a circle with radius 14 m.
$$\begin{gathered} \mathrm{Area}\mathrm{grazed}\mathrm{by}\mathrm{the}\mathrm{cow}=\frac{1}{4}\mathrm{\pi }{r}^2 \\ =\frac{1}{4}\mathrm{\pi }{\left(14\right)}^2 \\ =154{\mathrm{m}}^2 \end{gathered}$$