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Diagonal of Dodecagon across three sides given circumradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2))
d3 = (2*r*(sqrt(3)+1))/(sqrt(6)+sqrt(2))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Radius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d3 = (2*r*(sqrt(3)+1))/(sqrt(6)+sqrt(2)) --> (2*10*(sqrt(3)+1))/(sqrt(6)+sqrt(2))
Evaluating ... ...
d3 = 14.142135623731
STEP 3: Convert Result to Output's Unit
14.142135623731 Meter --> No Conversion Required
FINAL ANSWER
14.142135623731 Meter <-- Diagonal across three sides
(Calculation completed in 00.000 seconds)

6 Diagonal of Dodecagon across three sides Calculators

Diagonal of Dodecagon across three sides given height
diagonal_across_3_sides = (Height/(2+sqrt(3)))*((sqrt(6)+(3*sqrt(2)))/2) Go
Diagonal of Dodecagon across three sides given circumradius
diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2)) Go
Diagonal of Dodecagon across three sides given area
diagonal_across_3_sides = sqrt(Area/(3*(2+sqrt(3))))*(sqrt(3)+1) Go
Diagonal of Dodecagon across three sides given inradius
diagonal_across_3_sides = ((2*Inradius)/(sqrt(3)+2))*(sqrt(3)+1) Go
Diagonal of Dodecagon across three sides given perimeter
diagonal_across_3_sides = (Perimeter/12)*(sqrt(3)+1) Go
Diagonal of Dodecagon across three sides given side
diagonal_across_3_sides = (sqrt(3)+1)*Side A Go

Diagonal of Dodecagon across three sides given circumradius Formula

diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2))
d3 = (2*r*(sqrt(3)+1))/(sqrt(6)+sqrt(2))

What are the properties of dodecagon?

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. It has 12 interior angles.

How to Calculate Diagonal of Dodecagon across three sides given circumradius?

Diagonal of Dodecagon across three sides given circumradius calculator uses diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2)) to calculate the Diagonal across three sides, Diagonal of Dodecagon across three sides given circumradius formula is defined as a line connecting two vertices of dodecagon across 5 vertices of dodecagon. Diagonal across three sides and is denoted by d3 symbol.

How to calculate Diagonal of Dodecagon across three sides given circumradius using this online calculator? To use this online calculator for Diagonal of Dodecagon across three sides given circumradius, enter Radius (r) and hit the calculate button. Here is how the Diagonal of Dodecagon across three sides given circumradius calculation can be explained with given input values -> 14.14214 = (2*10*(sqrt(3)+1))/(sqrt(6)+sqrt(2)).

FAQ

What is Diagonal of Dodecagon across three sides given circumradius?
Diagonal of Dodecagon across three sides given circumradius formula is defined as a line connecting two vertices of dodecagon across 5 vertices of dodecagon and is represented as d3 = (2*r*(sqrt(3)+1))/(sqrt(6)+sqrt(2)) or diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2)). Radius is a radial line from the focus to any point of a curve.
How to calculate Diagonal of Dodecagon across three sides given circumradius?
Diagonal of Dodecagon across three sides given circumradius formula is defined as a line connecting two vertices of dodecagon across 5 vertices of dodecagon is calculated using diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2)). To calculate Diagonal of Dodecagon across three sides given circumradius, you need Radius (r). With our tool, you need to enter the respective value for Radius 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 three sides?
In this formula, Diagonal across three sides uses Radius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_3_sides = (sqrt(3)+1)*Side A
  • diagonal_across_3_sides = (2*Radius*(sqrt(3)+1))/(sqrt(6)+sqrt(2))
  • diagonal_across_3_sides = sqrt(Area/(3*(2+sqrt(3))))*(sqrt(3)+1)
  • diagonal_across_3_sides = ((2*Inradius)/(sqrt(3)+2))*(sqrt(3)+1)
  • diagonal_across_3_sides = (Perimeter/12)*(sqrt(3)+1)
  • diagonal_across_3_sides = (Height/(2+sqrt(3)))*((sqrt(6)+(3*sqrt(2)))/2)
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