Ant-Man And The Polygon

Ant-Man before escaping from the quantum realm thought about roaming around the realm. And much to his surprise, he found a regular convex polygon with n vertices and side length S. So he decided to walk around it. The polygon was complete i.e. every two vertices were connected by a straight line which are the edges of the polygon(each side is also an edge).

This is a companion discussion topic for the original entry at