Axial Symmetric Pentagon Calculator
Online calculator and formulas for an axial symmetric pentagon
This function calculates various parameters of an axisymmetric pentagon.
To calculate, enter the lengths a, b and c and the angle alpha (α). Then click on the 'Calculate' button.
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Formulas for the axisymmetric pentagon
Diagonal (\(\small{d}\))
\(\displaystyle d =\sqrt{2·c^2-2·c^2·cos(α)} \)
Height (\(\small{h}\))
\(\displaystyle h =\sqrt{b^2-\left(\frac{d}{2}-\frac{a}{2}\right)^2 } +\sqrt{c^2-\left(\frac{d}{2}\right)^2} \)
Angle Beta (\(\small{\beta}\))
\(\displaystyle β =acos\left(\frac{b^2+c^2-e^2-(\frac{a}{2})^2}{2·b·c} \right) \)
Angle Gamma (\(\small{\gamma}\))
\(\displaystyle γ = \frac{540°-α-2·β}{2}\)
Perimeter (\(\small{P}\))
\(\displaystyle P = a+2·b+2·c\)
Area (\(\small{A}\))
\(\displaystyle A = \frac{1}{4}·\sqrt{(d+a)^2·(d-a+2·b)·(a-d+2·b)}\) \(\displaystyle +\frac{1}{2}·\sqrt{\frac{4·c^2-d^2}{4}}·d\)
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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