# Area of a regular polygon Calculator

## Calculates the area, perimeter, angle and number of diagonal lines of a regular polygon given the side.

number of sides n
1. n=3,4,5,6,....
side a

area S
perimeter L
angle θ
 degree
=
number of diagonals m
 $\normal Regular\ polygon\\(1)\ area:\hspace{50} S={\large\frac{na^2}{4tan({\large\frac{\pi}{n}})}}\\(2)\ perimeter:\ L=na\\(3)\ peak\ angle:\ \theta=180(1-{\large\frac{2}{n}}),\hspace{20} at\ degree\\(4)\ number\ of\ diagonals:\ m={\large\frac{n(n-3)}{2}}\\$

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