Question

May I please have help on this Geometry question? Suppose the cow is tied to a corner of a building which is in the shape of a regular polygon of n sides. The length of a side of the building and the length of the rope are each r. Find the area of the region over which the cow can graze.

Answer 1

$\bf \textit{area of a regular polygon}\\\\ A=\cfrac{1}{2}\cdot n\cdot r^2\cdot sin\left( \frac{360}{n} \right) \qquad \begin{cases} n=\textit{number of sides in a polygon}\\ r=radius\\ \frac{360}{n}=\textit{angle in degrees} \end{cases}$