Width of Dodecagon given Circumradius Calculator

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

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✖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 given Circumradius [w]

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Width of Dodecagon given Circumradius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
w = (2+sqrt(3))*r_c/((sqrt(6)+sqrt(2))/2)
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

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.
Circumradius of Dodecagon - (Measured in Meter) - Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Circumradius of Dodecagon: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (2+sqrt(3))*r_c/((sqrt(6)+sqrt(2))/2) --> (2+sqrt(3))*20/((sqrt(6)+sqrt(2))/2)

Evaluating ... ...

w = 38.6370330515627

STEP 3: Convert Result to Output's Unit

38.6370330515627 Meter --> No Conversion Required

FINAL ANSWER

38.6370330515627 ≈ 38.63703 Meter <-- Width of Dodecagon

(Calculation completed in 00.004 seconds)

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< Width of Dodecagon Calculators

Width of Dodecagon given Diagonal across Six Sides

LaTeX Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

Width of Dodecagon given Area

LaTeX Go Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)

Width of Dodecagon

LaTeX Go Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon

Width of Dodecagon given Diagonal across Five Sides

LaTeX Go Width of Dodecagon = Diagonal Across Five Sides of Dodecagon/1

Width of Dodecagon given Circumradius Formula

LaTeX Go

Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
w = (2+sqrt(3))*r_c/((sqrt(6)+sqrt(2))/2)

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 Width of Dodecagon given Circumradius?

Width of Dodecagon given Circumradius calculator uses Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2) to calculate the Width of Dodecagon, The Width of Dodecagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon, calculated using circumradius. Width of Dodecagon is denoted by w symbol.

How to calculate Width of Dodecagon given Circumradius using this online calculator? To use this online calculator for Width of Dodecagon given Circumradius, enter Circumradius of Dodecagon (r_c) and hit the calculate button. Here is how the Width of Dodecagon given Circumradius calculation can be explained with given input values -> 38.63703 = (2+sqrt(3))*20/((sqrt(6)+sqrt(2))/2).

FAQ

What is Width of Dodecagon given Circumradius?

The Width of Dodecagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon, calculated using circumradius and is represented as w = (2+sqrt(3))*r_c/((sqrt(6)+sqrt(2))/2) or Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). Circumradius of Dodecagon is the radius of a circumcircle touching each of the vertices of Dodecagon.

How to calculate Width of Dodecagon given Circumradius?

The Width of Dodecagon given Circumradius formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon, calculated using circumradius is calculated using Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2). To calculate Width of Dodecagon given Circumradius, you need Circumradius of Dodecagon (r_c). With our tool, you need to enter the respective value for Circumradius 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 Width of Dodecagon?

In this formula, Width of Dodecagon uses Circumradius of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))

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