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Area of a Regular Polygon

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Calculates the area, perimeter, vertex angles, and number of diagonals of a regular n-gon based on the length of its sides.
Number of edges n
n = 3, 4, 5, 6, ...
Side length a
Area S 
Perimeter L 
Vertex angle θ ° (degree)
= radian
Number of diagonals: m 
\(\normalsize Regular\ polygon\\ (1)\ area:\hspace{50px} S={\large\frac{na^2}{4tan({\large\frac{\pi}{n}})}}\\ (2)\ perimeter:\ L=na\\ (3)\ peak\ angle:\ \theta=180(1-{\large\frac{2}{n}}),\hspace{10px} at\ degree\\ (4)\ number\ of\ diagonals:\ m={\large\frac{n(n-3)}{2}}\\\)

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