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Diagonal of Dodecagon across four sides given area Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2)
d4 = sqrt(A/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = sqrt(A/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2) --> sqrt(50/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2)
Evaluating ... ...
d4 = 7.07106781186547
STEP 3: Convert Result to Output's Unit
7.07106781186547 Meter --> No Conversion Required
FINAL ANSWER
7.07106781186547 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 area Formula

diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2)
d4 = sqrt(A/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/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 area?

Diagonal of Dodecagon across four sides given area calculator uses diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2) to calculate the Diagonal across four sides, The Diagonal of dodecagon across four sides given area 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 area using this online calculator? To use this online calculator for Diagonal of Dodecagon across four sides given area, enter Area (A) and hit the calculate button. Here is how the Diagonal of Dodecagon across four sides given area calculation can be explained with given input values -> 7.071068 = sqrt(50/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2).

FAQ

What is Diagonal of Dodecagon across four sides given area?
The Diagonal of dodecagon across four sides given area formula is defined as a straight line connecting two vertices of dodecagon across 4 sides of dodecagon and is represented as d4 = sqrt(A/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2) or diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2). The area is the amount of two-dimensional space taken up by an object.
How to calculate Diagonal of Dodecagon across four sides given area?
The Diagonal of dodecagon across four sides given area formula is defined as a straight line connecting two vertices of dodecagon across 4 sides of dodecagon is calculated using diagonal_across_4_sides = sqrt(Area/(3*(2+sqrt(3))))*((sqrt(6)+(3*sqrt(2)))/2). To calculate Diagonal of Dodecagon across four sides given area, you need Area (A). With our tool, you need to enter the respective value for Area 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 Area. 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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