# Regular polygons inscribed to a circle Calculator

## Calculates the side length and area of the regular polygon inscribed to a circle.

number of sides n
 n＝3,4,5,6....

side length a
polygon area Sp
circle area Sc
area ratio Sp/Sc
 $\normal Regular\ polygons\ inscribed\\\hspace{200} to\ a\ circle\\\hspace{20} n:\ number\ of\ sides\\(1)\ polygon\ side:\hspace{25} a=2r\sin{\large\frac{\pi}{n}}\\\vspace{2}(2)\ polygon\ area:\hspace{10} S_p={\large\frac{1}{2}}nr^2\sin{\large\frac{2\pi}{n}}\\\vspace{2}(3)\ circle\ area:\hspace{30} S_c=\pi r^2\\$

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