# Incircle of a regular polygon Calculator

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

 number of sides n n＝3,4,5,6.... side length a 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit inradius r diameter φ incircle area Sc polygon area Sp area ratio Sc/Sp
 $\normal Incircle\ of\ regular\ polygons\\\hspace{20} n:\ number\ of\ sides\\(1)\ inradius:\hspace{50} r={\large\frac{a}{2tan{\large\frac{\pi}{n}}}}\\(2)\ incircle\ area:\hspace{10} S_c=\pi r^2={\large\frac{\pi a^2}{4tan^2({\large\frac{\pi}{n}})}}\\(3)\ polygon\ area:\hspace{10} S_p={\large\frac{1}{2}}nar={\large\frac{na^2}{4tan{\large\frac{\pi}{n}}}}\\$
Incircle of a regular polygon
 [1-6] /6 Disp-Num5103050100200
[1]  2018/09/25 09:13   Male / 60 years old level or over / A retired person / Very /
Purpose of use
Designing a skeletal SciFi space-tug with pentagonal symmetry to grapple and haul 10 kilotonne fuel tanks...
[2]  2018/03/30 12:53   Male / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
to study for TCSIT Geometry
[3]  2018/03/06 23:19   Female / Under 20 years old / High-school/ University/ Grad student / Very /
Purpose of use
to learn a lot
[4]  2017/05/07 19:09   Male / 30 years old level / Others / Very /
Purpose of use
Building base for above ground circular pool. Handy to calculate radius / diameter.
[5]  2011/07/25 08:00   Male / 50 years old level / Others / Very /
Purpose of use
constructing colums/woodworking
Comment/Request
impressed, this function is one of the least common but very useful to me
[6]  2010/05/22 12:06   Male / 50 level / A teacher / Very /
Purpose of use
Comment/Request
i am a civil engineer Msc holder and i teach maths to students and engineers and explain to them how to use and implement math problems in their practical works.

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