Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides Calculator

✖Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.ⓘ Diagonal Across Two Sides of Dodecagon [d₂]

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✖Diagonal across Five Sides of Dodecagon is a straight line joining two non-adjacent vertices across five sides of the Dodecagon.ⓘ Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides [d₅]

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Formula

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Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides

Formula

`"d"_{"5"} = (2+sqrt(3))*"d"_{"2"}/((sqrt(2)+sqrt(6))/2)`

Example

`"38.63703m"=(2+sqrt(3))*"20m"/((sqrt(2)+sqrt(6))/2)`

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Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
d₅ = (2+sqrt(3))*d₂/((sqrt(2)+sqrt(6))/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

Diagonal Across Five Sides of Dodecagon - (Measured in Meter) - Diagonal across Five Sides of Dodecagon is a straight line joining two non-adjacent vertices across five sides of the Dodecagon.
Diagonal Across Two Sides of Dodecagon - (Measured in Meter) - Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Diagonal Across Two Sides of Dodecagon: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₅ = (2+sqrt(3))*d₂/((sqrt(2)+sqrt(6))/2) --> (2+sqrt(3))*20/((sqrt(2)+sqrt(6))/2)

Evaluating ... ...

d₅ = 38.6370330515627

STEP 3: Convert Result to Output's Unit

38.6370330515627 Meter --> No Conversion Required

FINAL ANSWER

38.6370330515627 ≈ 38.63703 Meter <-- Diagonal Across Five Sides of Dodecagon

(Calculation completed in 00.004 seconds)

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< 11 Diagonal of Dodecagon across Five Sides Calculators

Diagonal of Dodecagon across Five Sides given Diagonal across Four Sides

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

Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides

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

Diagonal of Dodecagon across Five Sides given Diagonal across Six Sides

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

Diagonal of Dodecagon across Five Sides given Circumradius

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

Diagonal of Dodecagon across Five Sides given Diagonal across Three Sides

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

Diagonal of Dodecagon across Five Sides given Area

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

Diagonal of Dodecagon across Five Sides given Perimeter

Go Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12

Diagonal of Dodecagon across Five Sides

Go Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Side of Dodecagon

Diagonal of Dodecagon across Five Sides given Inradius

Go Diagonal Across Five Sides of Dodecagon = 2*Inradius of Dodecagon

Diagonal of Dodecagon across Five Sides given Height

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

Diagonal of Dodecagon across Five Sides given Width

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

Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides Formula

Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
d₅ = (2+sqrt(3))*d₂/((sqrt(2)+sqrt(6))/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 Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides?

Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides calculator uses Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2) to calculate the Diagonal Across Five Sides of Dodecagon, The Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of the Dodecagon, calculated using diagonal across two sides. Diagonal Across Five Sides of Dodecagon is denoted by d₅ symbol.

How to calculate Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides using this online calculator? To use this online calculator for Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides, enter Diagonal Across Two Sides of Dodecagon (d₂) and hit the calculate button. Here is how the Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides calculation can be explained with given input values -> 38.63703 = (2+sqrt(3))*20/((sqrt(2)+sqrt(6))/2).

FAQ

What is Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides?

The Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of the Dodecagon, calculated using diagonal across two sides and is represented as d₅ = (2+sqrt(3))*d₂/((sqrt(2)+sqrt(6))/2) or Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2). Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.

How to calculate Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides?

The Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across five sides of the Dodecagon, calculated using diagonal across two sides is calculated using Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2). To calculate Diagonal of Dodecagon across Five Sides given Diagonal across Two Sides, you need Diagonal Across Two Sides of Dodecagon (d₂). With our tool, you need to enter the respective value for Diagonal Across Two 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 Diagonal Across Five Sides of Dodecagon?

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

Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*(2*Circumradius of Dodecagon)/(sqrt(6)+sqrt(2))
Diagonal Across Five Sides of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
Diagonal Across Five Sides of Dodecagon = 2*Inradius of Dodecagon
Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Diagonal Across Five Sides of Dodecagon = Height of Dodecagon/1
Diagonal Across Five Sides of Dodecagon = Width of Dodecagon/1

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