Regular polygons inscribed to a circle Calculator

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

Regular polygons inscribed to a circle
number of sides n
    1. n=3,4,5,6....
circumradius r

side length a
    1.  
polygon area Sp
    1.  
circle area Sc
    1.  
area ratio Sp/Sc
    1.  
    Regular polygons inscribed to a circle
    [1-10] /75Disp-Num
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    [1]  2022/10/23 11:34   60 years old level or over / An engineer / Very /
    Purpose of use
    Building a support to go underneath a water heater. Want to make a triangular shape that fits inside the diameter of the base of the tank. This was just what I needed.
    [2]  2022/08/29 00:29   30 years old level / Others / Very /
    Purpose of use
    to determine the number of sides required to have a surface area of 3 within the circle of 3.14.
    Comment/Request
    wonderful tool. wanted to know about whole integer surface area shapes within a circle with radius 1. 4 sided and 12 sided polygons yield 2 and 3 respectively.
    [3]  2022/03/02 14:11   30 years old level / An engineer / A little /
    Purpose of use
    Finding sine of angles to apply to curvature
    [4]  2021/08/10 21:05   60 years old level or over / Self-employed people / Very /
    Purpose of use
    To determine maximum timber post able to be milled from a particular tree diameter.
    [5]  2021/05/31 02:00   60 years old level or over / A retired person / Very /
    Purpose of use
    I used to be a physicist/civil engineer. I bought a house with a huge yard that is mainly grass with a depressed circular area of 14 ft. radius behind the deck where an above ground pool once sat. I want to kill the grass in this ~ 616 sq. ft. area and plant dwarf fruit trees/shrubs with a ring of short perennials on the outside of the circle so it is delineated from the rest of the yard. Planting at the vertices of a polygon inscribed inside a circle is the best use of this area.
    [6]  2021/04/18 01:50   60 years old level or over / A retired person / Very /
    Purpose of use
    Needed a simple calculator rather than proofs of mathematical formula.
    Comment/Request
    Could use a visual representation of actual values applied to shapes
    [7]  2021/02/17 16:03   20 years old level / An engineer / Useful /
    Purpose of use
    3D modeling for use in finite element analysis of a ring shape.
    [8]  2021/01/28 23:11   Under 20 years old / High-school/ University/ Grad student / Useful /
    Purpose of use
    Dodecagon calculations
    [9]  2021/01/14 16:19   60 years old level or over / A retired person / Very /
    Purpose of use
    To construct a heptagon poker table (Hey- anyone can do a octagon!)
    [10]  2020/12/21 21:51   30 years old level / An engineer / Useful /
    Purpose of use
    Creating an algorithm to calculate lead-in on a CNC mill interpolating a circle.

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