Difference between revisions of "Tridecagon"

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A '''tridecagon''' is a polygon with 13 sides.
 
A '''tridecagon''' is a polygon with 13 sides.
It has an internal angle degree of ~152.308 degrees and a total of 6840 degrees. The area is <math>A={\frac{13}{4}} a^{2} \cot {\frac{\pi}{13}}</math> which is about <math>13.1858  a^2</math>. This cannot be constructed by using a compass and straightedge, but can be constructed using an angle trisector or neusis. The side length of a tridecagon is <math>r \cdot 2 \cdot \sin{\frac{\pi}{13}}</math>  
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It has an internal angle degree of ~152.308 degrees and a total of 6840 degrees. The area is <math>A={\frac{13}{4}} a^{2} \cot {\frac{\pi}{13}}</math> which is about <math>13.1858  a^2</math>. This cannot be constructed by using a compass and straightedge, but can be constructed using an angle trisector or neusis. The side length of a tridecagon is <math>r \cdot 2 \cdot \sin{\frac{\pi}{13}}</math> or <math>2r \cdot 0.23931566428755777</math>
 
==See Also==
 
==See Also==
 
* [[Polygon]]
 
* [[Polygon]]

Revision as of 16:45, 7 June 2024

A tridecagon is a polygon with 13 sides. It has an internal angle degree of ~152.308 degrees and a total of 6840 degrees. The area is $A={\frac{13}{4}} a^{2} \cot {\frac{\pi}{13}}$ which is about $13.1858  a^2$. This cannot be constructed by using a compass and straightedge, but can be constructed using an angle trisector or neusis. The side length of a tridecagon is $r \cdot 2 \cdot \sin{\frac{\pi}{13}}$ or $2r \cdot 0.23931566428755777$

See Also

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