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Convex polygon is a shape whose vertices point outwards or a surface that is curved or protruding. Learn about what is a convex polygon, its properties, formulas, solved examples on convex polygon the Cuemath way!
In mathematics, convex geometry is the branch of geometry studying convex sets, mainly in Euclidean space. Convex sets occur naturally in many areas: computational geometry, convex analysis, discrete geometry, functional analysis, geometry of numbers, integral geometry, linear programming, probability theory, game theory, etc.
A polygon is called a convex polygon when no line segments between the points, goes inside. The boundaries of the convex polygon do not go inside and all the vertices are pointed outside away from the center. The interior angles of a convex polygon are less than 180°.
Convex polygon is defined as a polygon with all its interior angles less than or equal to 180 degree. Based on the shape of the polygon, the types of a polygon are convex and concave, regular and irregular, simple and complex. A regular polygon in geometry is always a convex polygon.
In geometry, a convex polygon is a polygon that is the boundary of a convex set. 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. In particular, it is a simple polygon (not self-intersecting ). [1] .
Polygons. Illustrated definition of Convex: Curved outwards. Example: A polygon (which has straight sides) is convex when there are NO dents or indentations...