# Regular polygon circumscribed to a circle Calculator

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

 number of sides n n＝3,4,5,6.... inradius r 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit side length a polygon area Sp circle area Sc area ratio Sp/Sc
 $\normal Regular\ polygons\ circumscribed\\\hspace{200} to\ a\ circle\\\hspace{20} n:\ number\ of\ sides\\(1)\ polygon\ side:\hspace{22} a=2r\tan{\large\frac{\pi}{n}}\\\vspace{2}(2)\ polygon\ area:\hspace{10} S_p={\large\frac{1}{2}}nar\\\vspace{2}(3)\ circle\ area:\hspace{30} S_c=\pi r^2\\$
Regular polygon circumscribed to a circle
 [1-10] /17 Disp-Num5103050100200
[1]  2018/06/09 21:47   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Used to create a Pentagon for a power tool workstation with the biggest possible sides. Thanx for the calculator and the effort.
[2]  2018/03/21 00:04   Male / 60 years old level or over / An engineer / Useful /
Purpose of use
Building a wooden frame. Didn''t want to spend the time to derive calculations myself.
[3]  2018/03/20 20:37   Male / Under 20 years old / High-school/ University/ Grad student / - /
Comment/Request
area of regular polygon circumscribed about the circle
[4]  2017/09/13 20:17   Male / 50 years old level / Others / Very /
Purpose of use
Cutting out a clock face
[5]  2017/08/06 01:24   - / 60 years old level or over / Others / Very /
Purpose of use
Building a telescope to hold a 12.5 in. mirror. To build a 15 sided tube over a 14 inch sonotube (inside diameter), with walls 1/8 in. thick. so that sonutube can act as a bearing for the focuser holder part of the tube.
[6]  2017/06/03 09:01   Male / 20 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Finding size of center post needed to fit eight 1-inch flat plates in an octagon shape around it
[7]  2017/05/17 02:57   - / 50 years old level / A retired people / Very /
Purpose of use
To find the size of a concrete base required to support a round tank of diameter 12'
[8]  2017/02/01 08:15   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
To copy the formula for use in a collision detection routine.
[9]  2016/10/03 07:25   Female / 30 years old level / High-school/ University/ Grad student / Very /
Purpose of use
To figure out what the length of the sides of my windmill should be given a specific radius.
[10]  2015/05/05 04:55   Male / 50 years old level / A retired people / Very /
Purpose of use
I want to build an octagonal deck and place a circular dome on it. Knowing the side length of the octagon that will circumscribe the dome (the radius of which I already know) tells me how long the longest deck board must be.
Comment/Request
Thanks!

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