Irregular Octagon calculator
Calculator and formulas for calculating an irregular octagon
This function calculates various parameters of an irregular octagon (stretched octagon). An irregular, stretched octagon is an eight-sided polygon that doesn’t have equal side lengths.
The interior angles are all equal and have 135°. The slanted edges between a and b have the same length as a. In other words, there are 2 sides with length b and 6 sides with length a.
To perform the calculation, enter the lengths a and b. Then click the "Calculate" button.
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Formulas for irregular octagon
Side length (\(\small{l})\)
\(\displaystyle l=a·(1+\sqrt{2})+b-a \)
Height (\(\small{h})\)
\(\displaystyle h=a·(1+\sqrt{2})\)
Diagonal (\(\small{d})\)
\(\displaystyle d=\sqrt{l^2+a^2}\)
Perimeter (\(\small{P})\)
\(\displaystyle P=6·a+2·b\)
Area (\(\small{A})\)
\(\displaystyle A = 2 · a^2 · ( 1 + \sqrt{2} ) + h · ( b - a )\)
More polygons
Triangle • Square • Pentagon • Hexagon • Heptagon • Octagon • Nonagon • Decagon • Hendecagon • Dodecagon • Hexadecagon • N-Gon • Polygon ring • Concave hexagon • Axial Symmetric Pentagon • Irregular, stretched Hexagon • Irregular, stretched Octagon • Pentagram • Hexagram • Octagram • Star of Lakshmi
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