# Regular polygons inscribed to a circle Calculator

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

 number of sides n n＝3,4,5,6.... circumradius r 6digit10digit14digit18digit22digit26digit30digit34digit38digit42digit46digit50digit side length a polygon area Sp circle area Sc area ratio Sp/Sc
 $\normal Regular\ polygons\ inscribed\\\hspace{200} to\ a\ circle\\\hspace{20} n:\ number\ of\ sides\\(1)\ polygon\ side:\hspace{25} a=2r\sin{\large\frac{\pi}{n}}\\\vspace{2}(2)\ polygon\ area:\hspace{10} S_p={\large\frac{1}{2}}nr^2\sin{\large\frac{2\pi}{n}}\\\vspace{2}(3)\ circle\ area:\hspace{30} S_c=\pi r^2\\$
Regular polygons inscribed to a circle
 [1-10] /55 Disp-Num5103050100200
[1]  2018/10/09 20:34   Male / 40 years old level / High-school/ University/ Grad student / Very /
Purpose of use
Kettle BBQ Pizza oven top design
[2]  2018/10/09 03:50   Male / 60 years old level or over / An engineer / Useful /
Purpose of use
Fit a gear box cover
[3]  2018/09/04 09:28   Male / 60 years old level or over / A teacher / A researcher / A little /
Purpose of use
I plan to inscribe a five-pointed star inside a 48 inch diameter circle. I want to determine the dimensions of the interior pentagon.
[4]  2018/07/13 08:08   Male / 50 years old level / An office worker / A public employee / Very /
Purpose of use
On a delta style 3D printer, to calculate the largest square objects that could be printed on a printer with a 125mm radius circular build area.
[5]  2018/07/11 01:57   Female / 40 years old level / An office worker / A public employee / Very /
Purpose of use
Fitting a square peg to a round hole
[6]  2018/07/06 03:03   Female / Under 20 years old / Elementary school/ Junior high-school student / Useful /
Purpose of use
Math Hmwk
[7]  2018/06/03 01:16   Male / 50 years old level / Others / Useful /
Purpose of use
...to calculate the required diameter of a tube/pipe used to house four equally sized (dia) tubes/hoses.
[8]  2018/04/05 21:31   Male / 60 years old level or over / A retired people / Very /
Purpose of use
Making wooden planter for garden to fit in top of large pot. Like an old wooden bucket, but wide and shallow.
Comment/Request
Very useful. Thank you.
[9]  2018/03/22 18:48   Female / Under 20 years old / A teacher / A researcher / Useful /
Purpose of use
Investigation
[10]  2018/03/16 07:36   - / 60 years old level or over / Others / Very /
Purpose of use
designing a garden planter
Comment/Request
Displaying the assorted angles (and reciprocals) would be useful.

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