Diagonal of Dodecagon across Six Sides given Height Calculator

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

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Formula

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Diagonal of Dodecagon across Six Sides given Height

Formula

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

Example

`"38.30522m"=(sqrt(6)+sqrt(2))*"37m"/(2+sqrt(3))`

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Diagonal of Dodecagon across Six Sides given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3))
d₆ = (sqrt(6)+sqrt(2))*h/(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

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.
Height of Dodecagon - (Measured in Meter) - Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Height of Dodecagon: 37 Meter --> 37 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₆ = (sqrt(6)+sqrt(2))*h/(2+sqrt(3)) --> (sqrt(6)+sqrt(2))*37/(2+sqrt(3))

Evaluating ... ...

d₆ = 38.3052186751731

STEP 3: Convert Result to Output's Unit

38.3052186751731 Meter --> No Conversion Required

FINAL ANSWER

38.3052186751731 ≈ 38.30522 Meter <-- Diagonal Across Six Sides of Dodecagon

(Calculation completed in 00.004 seconds)

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< 11 Diagonal of Dodecagon across Six Sides Calculators

Diagonal of Dodecagon across Six Sides given Diagonal across Four Sides

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

Diagonal of Dodecagon across Six Sides given Area

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

Diagonal of Dodecagon across Six Sides given Diagonal across Five Sides

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

Diagonal of Dodecagon across Six Sides given Inradius

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

Diagonal of Dodecagon across Six Sides given Height

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

Diagonal of Dodecagon across Six Sides given Width

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

Diagonal of Dodecagon across Six Sides given Perimeter

Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Perimeter of Dodecagon/12

Diagonal of Dodecagon across Six Sides

Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Side of Dodecagon

Diagonal of Dodecagon across Six Sides given Diagonal across Three Sides

Go Diagonal Across Six Sides of Dodecagon = sqrt(2)*Diagonal Across Three Sides of Dodecagon

Diagonal of Dodecagon across Six Sides given Diagonal across Two Sides

Go Diagonal Across Six Sides of Dodecagon = 2*Diagonal Across Two Sides of Dodecagon

Diagonal of Dodecagon across Six Sides given Circumradius

Go Diagonal Across Six Sides of Dodecagon = 2*Circumradius of Dodecagon

Diagonal of Dodecagon across Six Sides given Height Formula

Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3))
d₆ = (sqrt(6)+sqrt(2))*h/(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 Diagonal of Dodecagon across Six Sides given Height?

Diagonal of Dodecagon across Six Sides given Height calculator uses Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3)) to calculate the Diagonal Across Six Sides of Dodecagon, The Diagonal of Dodecagon across Six Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using height. Diagonal Across Six Sides of Dodecagon is denoted by d₆ symbol.

How to calculate Diagonal of Dodecagon across Six Sides given Height using this online calculator? To use this online calculator for Diagonal of Dodecagon across Six Sides given Height, enter Height of Dodecagon (h) and hit the calculate button. Here is how the Diagonal of Dodecagon across Six Sides given Height calculation can be explained with given input values -> 38.30522 = (sqrt(6)+sqrt(2))*37/(2+sqrt(3)).

FAQ

What is Diagonal of Dodecagon across Six Sides given Height?

The Diagonal of Dodecagon across Six Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using height and is represented as d₆ = (sqrt(6)+sqrt(2))*h/(2+sqrt(3)) or Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3)). Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.

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

The Diagonal of Dodecagon across Six Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using height is calculated using Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3)). To calculate Diagonal of Dodecagon across Six Sides given Height, you need Height of Dodecagon (h). With our tool, you need to enter the respective value for Height 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 Diagonal Across Six Sides of Dodecagon?

In this formula, Diagonal Across Six Sides of Dodecagon uses Height of Dodecagon. We can use 10 other way(s) to calculate the same, which is/are as follows -

Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Side of Dodecagon
Diagonal Across Six Sides of Dodecagon = 2*Diagonal Across Two Sides of Dodecagon
Diagonal Across Six Sides of Dodecagon = 2*Circumradius of Dodecagon
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Inradius of Dodecagon/((2+sqrt(3))/2)
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Perimeter of Dodecagon/12
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Diagonal Across Six Sides of Dodecagon = sqrt(2)*Diagonal Across Three Sides of Dodecagon
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Width of Dodecagon/(2+sqrt(3))

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