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Regular Polygons Inscribed in a Circle

TOP/Collection of Mathematical Formulas/Inscribed and circumscribed
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Calculate a table of side lengths and areas for a regular n-sided polygon inscribed in a circle.
Radius of the circle r
Inscribed Regular Polygon n
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sides(Up to 200 times)
\(\normalsize Regular\ polygons\ inscribed\\ \hspace{200px} to\ a\ circle\\ \hspace{20px} n:\ number\ of\ sides\\ (1)\ polygon\ side:\hspace{25px} a=2r\sin{\large\frac{\pi}{n}}\\ (2)\ polygon\ area:\hspace{10px} S_p={\large\frac{1}{2}}nr^2\sin{\large\frac{2\pi}{n}}\\ (3)\ circle\ area:\hspace{30px} S_c=\pi r^2\\\)

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