Regular Hexagon

Regular hexagon (a two-dimensional figure) is a polygon with six congruent sides.
Circumcircle is a circle that passes through all the vertices of a two-dimensional figure.
Congruent is all sides having the same lengths and angles measure the same.
Diagonal is a line from one vertices to another that is non adjacent.
Inscribed circle is the largest circle possible that can fit on the inside of a two-dimensional figure.
Long diagonal always crosses the center point of the hexagon.
Polygon (a two-dimensional figure) is a closed plane figure for which all edges are line segments and not necessarly congruent.
Short diagonal does not cross the center point of the hexagon.
Exterior angles are 60°.
Interior angles are 120°.
9 diagonals
6 edges
6 vertexs

Area of a Regular Hexagon formula
$\large{ A_{area} = \frac {3}{2} \; \sqrt{3} \; a^2 }$
Symbol	English	Metric
$\large{ A_{area} }$ = area	$\large{ in^2 }$	$\large{ mm^2 }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Circumcircle Radius of a Regular Hexagon formula
$\large{ R = a }$
Symbol	English	Metric
$\large{ R }$ = circumcircle radius	$\large{ in }$	$\large{ mm }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Edge of a Regular Hexagon formulas
$\large{ a = \frac { p } {6} }$ $\large{ a = 3^{1/4}\; \sqrt { 2\; \frac {A_{area}}{9} } }$
Symbol	English	Metric
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$
$\large{ A_{area} }$ = area	$\large{ in^2 }$	$\large{ mm^2 }$
$\large{ p }$ = perimeter	$\large{ in }$	$\large{ mm }$

Inscribed Circle Radius of a Regular Hexagon formula
$\large{ r = \frac{ \sqrt{3} }{2} \; a }$
Symbol	English	Metric
$\large{ r }$ = inside radius	$\large{ in }$	$\large{ mm }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Perimeter of a Regular Hexagon formula
$\large{ p = 6 \;a }$
Symbol	English	Metric
$\large{ p }$ = perimeter	$\large{ in }$	$\large{ mm }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Long Diagonal of a Regular Hexagon formula
$\large{ D' = 2 \;a }$
Symbol	English	Metric
$\large{ D' }$ = long diagonal	$\large{ in }$	$\large{ mm }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Short Diagonal of a Regular Hexagon formula
$\large{ d' = \sqrt{3}\;a }$
Symbol	English	Metric
$\large{ d' }$ = short diagonal	$\large{ in }$	$\large{ mm }$
$\large{ a }$ = edge	$\large{ in }$	$\large{ mm }$

Area of a Regular Hexagon formula