Question 28
Let $R \gt 0$, $n \in \mathbb{N}$, $n \ge 3$, and consider a convex $n$-gon inscribed in a circle of center $O$ and radius $R$. Determine the perimeter of the polygon, knowing that its area is equal to $\frac{nR^2}{2}$.
Aurel Doboşan
Aurel Doboşan