Diagonal of Dodecagon across Four Sides given Perimeter Calculator

✖Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.ⓘ Perimeter of Dodecagon [P]

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✖Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.ⓘ Diagonal of Dodecagon across Four Sides given Perimeter [d₄]

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Diagonal of Dodecagon across Four Sides given Perimeter Solution

STEP 0: Pre-Calculation Summary

Formula Used

Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Perimeter of Dodecagon/12
d₄ = ((3*sqrt(2))+sqrt(6))/2*P/12
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 Four Sides of Dodecagon - (Measured in Meter) - Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.
Perimeter of Dodecagon - (Measured in Meter) - Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Dodecagon: 120 Meter --> 120 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d₄ = ((3*sqrt(2))+sqrt(6))/2*P/12 --> ((3*sqrt(2))+sqrt(6))/2*120/12

Evaluating ... ...

d₄ = 33.4606521495123

STEP 3: Convert Result to Output's Unit

33.4606521495123 Meter --> No Conversion Required

FINAL ANSWER

33.4606521495123 ≈ 33.46065 Meter <-- Diagonal Across Four Sides of Dodecagon

(Calculation completed in 00.020 seconds)

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< Diagonal of Dodecagon across Four Sides Calculators

Diagonal of Dodecagon across Four Sides given Circumradius

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

Diagonal of Dodecagon across Four Sides given Area

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

Diagonal of Dodecagon across Four Sides given Inradius

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

Diagonal of Dodecagon across Four Sides

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

Diagonal of Dodecagon across Four Sides given Perimeter Formula

LaTeX Go

Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Perimeter of Dodecagon/12
d₄ = ((3*sqrt(2))+sqrt(6))/2*P/12

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 Four Sides given Perimeter?

Diagonal of Dodecagon across Four Sides given Perimeter calculator uses Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Perimeter of Dodecagon/12 to calculate the Diagonal Across Four Sides of Dodecagon, Diagonal of Dodecagon across Four Sides given Perimeter formula is defined as a straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using perimeter. Diagonal Across Four Sides of Dodecagon is denoted by d₄ symbol.

How to calculate Diagonal of Dodecagon across Four Sides given Perimeter using this online calculator? To use this online calculator for Diagonal of Dodecagon across Four Sides given Perimeter, enter Perimeter of Dodecagon (P) and hit the calculate button. Here is how the Diagonal of Dodecagon across Four Sides given Perimeter calculation can be explained with given input values -> 33.46065 = ((3*sqrt(2))+sqrt(6))/2*120/12.

FAQ

What is Diagonal of Dodecagon across Four Sides given Perimeter?

Diagonal of Dodecagon across Four Sides given Perimeter formula is defined as a straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using perimeter and is represented as d₄ = ((3*sqrt(2))+sqrt(6))/2*P/12 or Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Perimeter of Dodecagon/12. Perimeter of Dodecagon is the total distance around the edge of the Dodecagon.

How to calculate Diagonal of Dodecagon across Four Sides given Perimeter?

Diagonal of Dodecagon across Four Sides given Perimeter formula is defined as a straight line connecting two non-adjacent vertices across four sides of the Dodecagon, calculated using perimeter is calculated using Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Perimeter of Dodecagon/12. To calculate Diagonal of Dodecagon across Four Sides given Perimeter, you need Perimeter of Dodecagon (P). With our tool, you need to enter the respective value for Perimeter 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 Four Sides of Dodecagon?

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

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

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