# Circumcircle of a regular polygon Calculator

## Calculates the radius and area of the circumcircle of a regular polygon.

 number of sides n n＝3,4,5,6.... side length a 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit circumradius r diameter φ circumcircle area Sc polygon area Sp area ratio Sc/Sp
 $\normal Circumcircle\ of\ regular\ polygons\\\hspace{20} n:\ number\ of\ sides\\(1)\ circumradius:\hspace{50} r={\large\frac{a}{2sin{\large\frac{\pi}{n}}}}\\(2)\ circumcircle\ area:\hspace{10} S_c=\pi r^2\\(3)\ polygon\ area:\hspace{45} S_p={\large\frac{na^2}{4tan{\large\frac{\pi}{n}}}}\\$

Circumcircle of a regular polygon
 [1-4] /4 Disp-Num5103050100200
[1]  2019/04/09 10:32   Male / 30 years old level / An engineer / Very /
Purpose of use
A quick check to determine if a cube has enough clearance to fit inside a cylindrical tube.
Comment/Request
I've used this a few times now, Thanks!
[2]  2018/06/13 07:39   Male / Under 20 years old / Elementary school/ Junior high-school student / A little /
Purpose of use
Finding distance between points on circle
Comment/Request
Solve for a
[3]  2018/01/06 13:48   Male / 50 years old level / High-school/ University/ Grad student / Useful /
Purpose of use
calculate size of rectangular prism that will fit inside a cylinder as part of designing a home made propane blacksmiths forge
[4]  2015/08/03 23:23   Male / 20 years old level / An office worker / A public employee / Very /
Purpose of use
Designing satellite constellations for Kerbal Space Program

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