Circumradius of Dodecagon given Width Calculator

✖The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular Dodecagon.ⓘ Width of Dodecagon [w]

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✖Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.ⓘ Circumradius of Dodecagon given Width [r_c]

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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))
r_c = (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

r_c = (sqrt(6)+sqrt(2))/2*w/(2+sqrt(3)) --> (sqrt(6)+sqrt(2))/2*37/(2+sqrt(3))

Evaluating ... ...

r_c = 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 00.020 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))
r_c = (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 r_c 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 r_c = (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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