Online calculator and formulas for calculating a Nonagon
This function calculates various parameters of a nonagon.
To perform the calculation, select the required parameter in the menu and enter its value. Then click the 'Calculate' button.
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Perimeter \(P\) |
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\(\displaystyle P = a · 9 \) |
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Area \(A\) |
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\(\displaystyle A = \frac{9}{2} · r_{rc}^2 · sin(40°) \) |
\(\displaystyle = \frac{9}{2} · r_{rc}^2 · sin\left(\frac{2 · π}{9}\right) \) |
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Short Diagonal \(d_2\) |
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\(\displaystyle d_2= 2 · rc · sin(40°) \) |
\(\displaystyle = 2 · rc · sin\left(\frac{2 · π}{9}\right) \) |
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Middle Diagonal \(d_3\) |
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\(\displaystyle d_3 = 2 · rc · sin(60°) \) |
\(\displaystyle = 2 · rc · sin\left(\frac{3 · π}{9}\right) \) |
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Long Diagonal \(d_4\) |
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\(\displaystyle d_4= 2 · rc · sin(80°) \) |
\(\displaystyle = 2 · rc · sin\left(\frac{4 · π}{9}\right) \) |
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Inner circle radius \(ri\) |
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\(\displaystyle ri=\frac{ a }{2 · tan(20°)} \) |
\(\displaystyle ri=\frac{ a }{2 · tan(π /9)} \) |
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Outer circle radius \(ra\) |
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\(\displaystyle ri=\frac{ a }{2 · sin(20°)} \) |
\(\displaystyle ri=\frac{ a }{2 · sin(π /9)} \) |
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Height \(h\) |
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\(\displaystyle h = rc + ri \) |
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