regpolygon

Regular polygon facts and drawing

In Euclidean geometry, a regular polygon is a polygon that is equiangular
(all angles are equal in measure) and equilateral (all sides have the same
length). This function gives all the possible properties of a regulare
polygon. Moreover, for polygons with 3<=n<=12 sides, will be shown an
animation to how contruct it (exactly or approximately) using ruler and
compass.

Syntax: regpolygon(varargin)

Inputs:
n: sides number, a scalar >=3 (3 by default)
L: side length, a scalar >0 (1 by default)
1 (right tailed)
Outputs:
Sides
Length
Fixed number
Apotema
Inscribed circle area
Height
number of diagonals
Perimeter
Area fixed number (phi)
Area
Circumradius
Circumscribed circle area
Interior angle
Exterior angle
Constructible or not

Example:

Calling on Matlab the function: regpolygon(5)

Answer is:

Value
_______

Sides 5
Length 1
Fixed_Number_(f) 0.68819
Apotema_(green) 0.68819
Inscribed_circle_area 1.4879
Height 1.5388
n_of_Diagonals 5
Perimeter 5
Area_fixed_number_(phi) 1.7205
Area 1.7205
Circumradius_(blue) 0.85065
Circumscribed_circle_area 2.2733

Interior angle: 3/5*pi 108.00°
Exterior angle: 2/5*pi 72.00°
Constructible polygon