Convex Polygon

Topic

Polygons

Definition

A convex polygon is a polygon in which all interior angles are less than 180 degrees, and no vertices point inward.

Description

In geometry, a convex polygon is a fundamental concept that describes a polygon where all interior angles are less than 180 degrees. This means that no line segment between any two points on the boundary will pass outside the polygon. Convex polygons are significant because they are simpler to work with compared to concave polygons. They have properties that make them easier to analyze and compute, such as the fact that their diagonals are always contained within the polygon. Convex polygons appear in various applications, from computer graphics to optimization problems, where their properties ensure more straightforward calculations and algorithms. Understanding convex polygons is crucial for students and professionals dealing with geometric computations and spatial reasoning.

For a complete collection of terms related to polygons click on this link: Polygons Collection.