Width of Dodecagon given Diagonal across Six Sides Calculator

✖Diagonal across Six Sides of Dodecagon is a straight line joining two non-adjacent vertices across six sides of the Dodecagon.ⓘ Diagonal Across Six Sides of Dodecagon [d₆]

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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 Diagonal across Six Sides [w]

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Formula

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Width of Dodecagon given Diagonal across Six Sides

Formula

`"w" = (2+sqrt(3))*"d"_{"6"}/(sqrt(6)+sqrt(2)) `

Example

`"37.67111m"=(2+sqrt(3))*"39m"/(sqrt(6)+sqrt(2)) `

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Width of Dodecagon given Diagonal across Six Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
w = (2+sqrt(3))*d₆/(sqrt(6)+sqrt(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.
Diagonal Across Six Sides of Dodecagon - (Measured in Meter) - Diagonal across Six Sides of Dodecagon is a straight line joining two non-adjacent vertices across six sides of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal Across Six Sides of Dodecagon: 39 Meter --> 39 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = (2+sqrt(3))*d₆/(sqrt(6)+sqrt(2)) --> (2+sqrt(3))*39/(sqrt(6)+sqrt(2))

Evaluating ... ...

w = 37.6711072252737

STEP 3: Convert Result to Output's Unit

37.6711072252737 Meter --> No Conversion Required

FINAL ANSWER

37.6711072252737 ≈ 37.67111 Meter <-- Width of Dodecagon

(Calculation completed in 00.004 seconds)

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< 11 Width of Dodecagon Calculators

Width of Dodecagon given Diagonal across Four Sides

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

Width of Dodecagon given Diagonal across Two Sides

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

Width of Dodecagon given Diagonal across Six Sides

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

Width of Dodecagon given Circumradius

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

Width of Dodecagon given Diagonal across Three Sides

Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)

Width of Dodecagon given Area

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

Width of Dodecagon given Perimeter

Go Width of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12

Width of Dodecagon

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

Width of Dodecagon given Diagonal across Five Sides

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

Width of Dodecagon given Inradius

Go Width of Dodecagon = 2*Inradius of Dodecagon

Width of Dodecagon given Height

Go Width of Dodecagon = Height of Dodecagon/1

Width of Dodecagon given Diagonal across Six Sides Formula

Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
w = (2+sqrt(3))*d₆/(sqrt(6)+sqrt(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 Diagonal across Six Sides?

Width of Dodecagon given Diagonal across Six Sides calculator uses Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2)) to calculate the Width of Dodecagon, The Width of Dodecagon given Diagonal across Six Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across six sides. Width of Dodecagon is denoted by w symbol.

How to calculate Width of Dodecagon given Diagonal across Six Sides using this online calculator? To use this online calculator for Width of Dodecagon given Diagonal across Six Sides, enter Diagonal Across Six Sides of Dodecagon (d₆) and hit the calculate button. Here is how the Width of Dodecagon given Diagonal across Six Sides calculation can be explained with given input values -> 37.67111 = (2+sqrt(3))*39/(sqrt(6)+sqrt(2)) .

FAQ

What is Width of Dodecagon given Diagonal across Six Sides?

The Width of Dodecagon given Diagonal across Six Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across six sides and is represented as w = (2+sqrt(3))*d₆/(sqrt(6)+sqrt(2)) or Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2)). Diagonal across Six Sides of Dodecagon is a straight line joining two non-adjacent vertices across six sides of the Dodecagon.

How to calculate Width of Dodecagon given Diagonal across Six Sides?

The Width of Dodecagon given Diagonal across Six Sides formula is defined as the horizontal distance from the left-most edge to the right-most edge of the regular Dodecagon, calculated using a diagonal across six sides is calculated using Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2)). To calculate Width of Dodecagon given Diagonal across Six Sides, you need Diagonal Across Six Sides of Dodecagon (d₆). With our tool, you need to enter the respective value for Diagonal Across Six Sides 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 Diagonal Across Six Sides of Dodecagon. We can use 10 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 = Diagonal Across Five Sides of Dodecagon/1
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Width of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Width of Dodecagon = Height of Dodecagon/1
Width of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
Width of Dodecagon = 2*Inradius of Dodecagon

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