# 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
 [1-3] /3 Disp-Num5103050100200
[1]  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
[2]  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
[3]  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

Sending completion

To improve this 'Circumcircle of a regular polygon Calculator', please fill in questionnaire.
Male or Female ?
Male Female
Age
Under 20 years old 20 years old level 30 years old level
40 years old level 50 years old level 60 years old level or over
Occupation
Elementary school/ Junior high-school student
High-school/ University/ Grad student A homemaker An office worker / A public employee
Self-employed people An engineer A teacher / A researcher
A retired person Others
Useful?
Very Useful A little Not at All
Purpose of use?