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
| \(\large{ A_{area} = \frac {3}{2} \; \sqrt{3} \; a^2 }\) |
Where:
\(\large{ A_{area} }\) = area
\(\large{ a }\) = edge
Circumcircle Radius of a Regular Hexagon formula
| \(\large{ R = a }\) |
Where:
\(\large{ R }\) = circumcircle radius
\(\large{ a }\) = edge
Edge of a Regular Hexagon formulas
| \(\large{ a = \frac { p } {6} }\) | |
| \(\large{ a = 3^{1/4}\; \sqrt { 2\; \frac {A_{area}}{9} } }\) |
Where:
\(\large{ a }\) = edge
\(\large{ p }\) = perimeter
\(\large{ A_{area} }\) = area
Inscribed Circle Radius of a Regular Hexagon formula
| \(\large{ r = \frac{ \sqrt{3} }{2} \; a }\) |
Where:
\(\large{ r }\) = inside radius
\(\large{ a }\) = edge
Perimeter of a Regular Hexagon formula
| \(\large{ p = 6 \;a }\) |
Where:
\(\large{ p }\) = perimeter
\(\large{ a }\) = edge
Long Diagonal of a Regular Hexagon formula
| \(\large{ D' = 2 \;a }\) |
Where:
\(\large{ D' }\) = long diagonal
\(\large{ a }\) = edge
Short Diagonal of a Regular Hexagon formula
| \(\large{ d' = \sqrt{3}\;a }\) |
Where:
\(\large{ d' }\) = short diagonal
\(\large{ a }\) = edge