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Enneadecagon

Enneadecagon

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Regular enneadecagon
250px
Edge
Edge (geometry)
In geometry, an edge is a one-dimensional line segment joining two zero-dimensional vertices in a polygon. Thus applied, an edge is a connector for a one-dimensional line segment and two zero-dimensional objects....

s and vertices
Vertex (geometry)
In geometry, a vertex is a special kind of point which describes the corners or intersections of geometric shapes. Vertices are commonly used in computer graphics to define the corners of surfaces in 3D models, where each such point is given as a vector.-Of an angle:The vertex of an angle is the...

19
Schläfli symbol
Schläfli symbol
In geometry, the Schläfli symbol is a notation of the form {p,q,r,...} that defines regular polytopes and tessellations.The Schläfli symbol is named after the 19th-century mathematician Ludwig Schläfli who made important contributions in geometry and other areas.- Description :The Schläfli symbol...

{19}
Coxeter–Dynkin diagram
Symmetry group
Symmetry group
The symmetry group of an object is the group of all isometries under which it is invariant with composition as the operation...

Dihedral (D19)
Area
Area
Area is a quantity expressing the two-dimensional size of a defined part of a surface, typically a region bounded by a closed curve. The term surface area refers to the total area of the exposed surface of a 3-dimensional solid, such as the sum of the areas of the exposed sides of a polyhedron...


(with t=edge length)

Internal angle
Internal angle
In geometry, an interior angle is an angle formed by two sides of a simple polygon that share an endpoint in. This angle must be an angle on the inner side of the polygon to be an internal angle...


(degree
Degree (angle)
A degree , usually denoted by ° , is a measurement of plane angle, representing 1360 of a full rotation; one degree is equivalent to π/180 radians...

s)
~161.052°


In geometry
Geometry
Geometry arose as the field of knowledge dealing with spatial relationships. Geometry was one of the two fields of pre-modern mathematics, the other being the study of numbers....

, an enneadecagon is a polygon
Polygon
In geometry a polygon is traditionally a plane figure that is bounded by a closed path or circuit, composed of a finite sequence of straight line segments . These segments are called its edges or sides, and the points where two edges meet are the polygon's vertices or corners...

with 19 sides and angles. It is also known as an enneakaidecagon or a nonadecagon.

The radius of the circumcircle of the regular enneadecagon with side length t is
(angle in degrees)