Circumradius of Dodecagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))
rc = (sqrt(6)+sqrt(2))/2*w/(2+sqrt(3))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Circumradius of Dodecagon - (Measured in Meter) - Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.
Width of Dodecagon - (Measured in Meter) - The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Width of Dodecagon: 37 Meter --> 37 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = (sqrt(6)+sqrt(2))/2*w/(2+sqrt(3)) --> (sqrt(6)+sqrt(2))/2*37/(2+sqrt(3))
Evaluating ... ...
rc = 19.1526093375865
STEP 3: Convert Result to Output's Unit
19.1526093375865 Meter --> No Conversion Required
FINAL ANSWER
19.1526093375865 19.15261 Meter <-- Circumradius of Dodecagon
(Calculation completed in 00.004 seconds)

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Circumradius of Dodecagon Calculators

Circumradius of Dodecagon given Diagonal across Four Sides
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Circumradius of Dodecagon given Diagonal across Five Sides
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Circumradius of Dodecagon
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
Circumradius of Dodecagon given Diagonal across Six Sides
​ LaTeX ​ Go Circumradius of Dodecagon = Diagonal Across Six Sides of Dodecagon/2

Radius of Dodecagon Calculators

Circumradius of Dodecagon
​ LaTeX ​ Go Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
Inradius of Dodecagon
​ LaTeX ​ Go Inradius of Dodecagon = (2+sqrt(3))/2*Side of Dodecagon
Circumradius of Dodecagon given Diagonal across Two Sides
​ LaTeX ​ Go Circumradius of Dodecagon = Diagonal Across Two Sides of Dodecagon/1
Inradius of Dodecagon given Height
​ LaTeX ​ Go Inradius of Dodecagon = Height of Dodecagon/2

Circumradius of Dodecagon given Width Formula

​LaTeX ​Go
Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3))
rc = (sqrt(6)+sqrt(2))/2*w/(2+sqrt(3))

What is Dodecagon?

A regular Dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Circumradius of Dodecagon given Width?

Circumradius of Dodecagon given Width calculator uses Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)) to calculate the Circumradius of Dodecagon, The Circumradius of Dodecagon given Width formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using width. Circumradius of Dodecagon is denoted by rc symbol.

How to calculate Circumradius of Dodecagon given Width using this online calculator? To use this online calculator for Circumradius of Dodecagon given Width, enter Width of Dodecagon (w) and hit the calculate button. Here is how the Circumradius of Dodecagon given Width calculation can be explained with given input values -> 19.15261 = (sqrt(6)+sqrt(2))/2*37/(2+sqrt(3)).

FAQ

What is Circumradius of Dodecagon given Width?
The Circumradius of Dodecagon given Width formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using width and is represented as rc = (sqrt(6)+sqrt(2))/2*w/(2+sqrt(3)) or Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)). The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.
How to calculate Circumradius of Dodecagon given Width?
The Circumradius of Dodecagon given Width formula is defined as the straight line connecting the circumcenter and any point on the circumcircle that touches all vertices of the Dodecagon, calculated using width is calculated using Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Width of Dodecagon/(2+sqrt(3)). To calculate Circumradius of Dodecagon given Width, you need Width of Dodecagon (w). With our tool, you need to enter the respective value for Width of Dodecagon and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Circumradius of Dodecagon?
In this formula, Circumradius of Dodecagon uses Width of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Side of Dodecagon
  • Circumradius of Dodecagon = Diagonal Across Six Sides of Dodecagon/2
  • Circumradius of Dodecagon = (sqrt(6)+sqrt(2))/2*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
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