Online calculator and formulas for calculating an octagon, a polygon with 8 vertices
This function calculates various parameters of an octagon.
To perform the calculation, select the required parameter in the menu and enter its value. Then click the 'Calculate' button.
|
Perimeter \(P\) |
||
\(\displaystyle P = a · 8 \) |
||
Area \(A\) |
||
\(\displaystyle A = a^2 · 2 · (1+\sqrt{2}) \) |
\(\displaystyle ≈a^2 *4.8284 \) |
|
\(\displaystyle A = 2 ·sqrt{2} · ra^2 \) |
\(\displaystyle ≈ra^2 *2.8284 \) |
|
Lange Diagonal \(d\) berechnen |
||
\(\displaystyle d = 2 · ra \) |
||
\(\displaystyle d = \sqrt{4+2·\sqrt{ 2}} · a \) |
\(\displaystyle ≈ 2.613 · a \) |
|
Mittlere Diagonal \(e\) berechnen |
||
\(\displaystyle e = 2 · ri \) |
||
\(\displaystyle e = (1+\sqrt{ 2}) · a \) |
\(\displaystyle ≈ 2.414 · a \) |
|
Kurze Diagonal \(f\) berechnen |
||
\(\displaystyle f = \sqrt{2} · ru \) |
||
\(\displaystyle f = \sqrt{2+\sqrt{ 2}} · a \) |
\(\displaystyle ≈ 1.848 · a \) |
|
Incircle radius\(ri\) |
||
\(\displaystyle ri=\frac{ 1+\sqrt{2} }{2} ·a\) |
\(\displaystyle ≈ 1.207 · a \) |
|
Circumcircle radius\(ra\) |
||
\(\displaystyle ra = \frac{1}{2} · \sqrt{4+2·\sqrt{2}} ·a \) |
\(\displaystyle ≈ 1.307 ·a \) |
|
|
|
Deutsch
