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Diagonal of Dodecagon across four sides given perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2)
d4 = (P/12)*(((3*sqrt(2))+sqrt(6))/2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Perimeter - The perimeter of a figure is the total distance around the edge of the figure. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Perimeter: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (P/12)*(((3*sqrt(2))+sqrt(6))/2) --> (20/12)*(((3*sqrt(2))+sqrt(6))/2)
Evaluating ... ...
d4 = 5.57677535825205
STEP 3: Convert Result to Output's Unit
5.57677535825205 Meter --> No Conversion Required
FINAL ANSWER
5.57677535825205 Meter <-- Diagonal across four sides
(Calculation completed in 00.000 seconds)

6 Diagonal of Dodecagon across four sides Calculators

Diagonal of Dodecagon across four sides given area
diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2) Go
Diagonal of Dodecagon across four sides given circumradius
diagonal_across_4_sides = (2*Radius*((3*sqrt(2))+sqrt(6)))/(sqrt(6)+sqrt(2)) Go
Diagonal of Dodecagon across four sides given inradius
diagonal_across_4_sides = ((2*Inradius)/(sqrt(3)+2))*((sqrt(6)+(3*sqrt(2)))/2) Go
Diagonal of Dodecagon across four sides given height
diagonal_across_4_sides = (Height/(2+sqrt(3)))*(sqrt(6)+sqrt(2)) Go
Diagonal of Dodecagon across four sides given perimeter
diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2) Go
Diagonal of Dodecagon across four sides given side
diagonal_across_4_sides = (((3*sqrt(2))+sqrt(6))/2)*Side A Go

Diagonal of Dodecagon across four sides given perimeter Formula

diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2)
d4 = (P/12)*(((3*sqrt(2))+sqrt(6))/2)

What are the properties of dodecagon?

It has 12 interior angles. All the 12 sides of a regular dodecagon are of equal length. The vertices are equidistant from the center. A regular dodecagon is a 12-sided polygon that is symmetrical.

How to Calculate Diagonal of Dodecagon across four sides given perimeter?

Diagonal of Dodecagon across four sides given perimeter calculator uses diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2) to calculate the Diagonal across four sides, Diagonal of Dodecagon across four sides given perimeter formula is defined as a straight line connecting two vertices of dodecagon across 4 sides of dodecagon. Diagonal across four sides and 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 (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 -> 5.576775 = (20/12)*(((3*sqrt(2))+sqrt(6))/2).

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 vertices of dodecagon across 4 sides of dodecagon and is represented as d4 = (P/12)*(((3*sqrt(2))+sqrt(6))/2) or diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2). The perimeter of a figure is the total distance around the edge of the figure.
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 vertices of dodecagon across 4 sides of dodecagon is calculated using diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2). To calculate Diagonal of Dodecagon across four sides given perimeter, you need Perimeter (P). With our tool, you need to enter the respective value for Perimeter 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?
In this formula, Diagonal across four sides uses Perimeter. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_4_sides = (((3*sqrt(2))+sqrt(6))/2)*Side A
  • diagonal_across_4_sides = (2*Radius*((3*sqrt(2))+sqrt(6)))/(sqrt(6)+sqrt(2))
  • diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2)
  • diagonal_across_4_sides = ((2*Inradius)/(sqrt(3)+2))*((sqrt(6)+(3*sqrt(2)))/2)
  • diagonal_across_4_sides = (Perimeter/12)*(((3*sqrt(2))+sqrt(6))/2)
  • diagonal_across_4_sides = (Height/(2+sqrt(3)))*(sqrt(6)+sqrt(2))
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