Convex polygon

This is an AoPSWiki Word of the Week for Sep 20-26

A convex polygon is a polygon whose interior forms a convex set. That is, if any 2 points on the perimeter of the polygon are connected by a line segment, no point on that segment will be outside the polygon.

All internal angles of a convex polygon are less than . These internal angles sum to degrees.

The convex hull of a set of points also turns out to be the convex polygon with some or all of the points as its vertices.

The area of a regular n-gon of side length s is

See also

• Concave polygon
• Convex polyhedron
• Concave polyhedron

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