Convex polygon

This means that the line segment between two points of the polygon is contained in the union of the interior and the boundary of the polygon.

A polygon is strictly convex if no line contains two of its edges.

In a convex polygon, all interior angles are less than or equal to 180 degrees, while in a strictly convex polygon all interior angles are strictly less than 180 degrees.

However, not every convex polygon can be inscribed in a circle.

The following properties of a simple polygon are all equivalent to strict convexity: Every non-degenerate triangle is strictly convex.