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## Diagonal of Dodecagon across three sides given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
d3 = ((2*ri)/(sqrt(3)+2))*(sqrt(3)+1)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Inradius - Inradius is defined as the radius of the circle which is inscribed inside the polygon. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Inradius: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d3 = ((2*ri)/(sqrt(3)+2))*(sqrt(3)+1) --> ((2*10)/(sqrt(3)+2))*(sqrt(3)+1)
Evaluating ... ...
d3 = 14.6410161513775
STEP 3: Convert Result to Output's Unit
14.6410161513775 Meter --> No Conversion Required
14.6410161513775 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 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 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 inradius Formula

d3 = ((2*ri)/(sqrt(3)+2))*(sqrt(3)+1)

## 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 three sides given inradius?

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

How to calculate Diagonal of Dodecagon across three sides given inradius using this online calculator? To use this online calculator for Diagonal of Dodecagon across three sides given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Diagonal of Dodecagon across three sides given inradius calculation can be explained with given input values -> 14.64102 = ((2*10)/(sqrt(3)+2))*(sqrt(3)+1).

### FAQ

What is Diagonal of Dodecagon across three sides given inradius?
The Diagonal of dodecagon across three sides given inradius formula is defined as a straight line connecting two vertices of dodecagon across 3 sides of dodecagon and is represented as d3 = ((2*ri)/(sqrt(3)+2))*(sqrt(3)+1) or diagonal_across_3_sides = ((2*Inradius)/(sqrt(3)+2))*(sqrt(3)+1). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Diagonal of Dodecagon across three sides given inradius?
The Diagonal of dodecagon across three sides given inradius formula is defined as a straight line connecting two vertices of dodecagon across 3 sides of dodecagon is calculated using diagonal_across_3_sides = ((2*Inradius)/(sqrt(3)+2))*(sqrt(3)+1). To calculate Diagonal of Dodecagon across three sides given inradius, you need Inradius (ri). With our tool, you need to enter the respective value for Inradius 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 Inradius. 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