Credits

Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 1000+ more calculators!
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1000+ more calculators!

Diagonal of Dodecagon across six sides given inradius Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2))
d6 = 2*ri*((sqrt(6)+sqrt(2))/(sqrt(3)+2))
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
d6 = 2*ri*((sqrt(6)+sqrt(2))/(sqrt(3)+2)) --> 2*10*((sqrt(6)+sqrt(2))/(sqrt(3)+2))
Evaluating ... ...
d6 = 20.7055236082017
STEP 3: Convert Result to Output's Unit
20.7055236082017 Meter --> No Conversion Required
FINAL ANSWER
20.7055236082017 Meter <-- Diagonal across six sides
(Calculation completed in 00.016 seconds)

6 Diagonal of Dodecagon across six sides Calculators

Diagonal of Dodecagon across six sides given area
diagonal_across_6_sides = sqrt(Area/(3*(2+sqrt(3))))*(sqrt(6)+sqrt(2)) Go
Diagonal of Dodecagon across six sides given inradius
diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2)) Go
Diagonal of Dodecagon across six sides given perimeter
diagonal_across_6_sides = (Perimeter/12)*(sqrt(6)+sqrt(2)) Go
Diagonal of Dodecagon across six sides given side
diagonal_across_6_sides = (sqrt(6)+sqrt(2))*Side A Go
Diagonal of Dodecagon across six sides given diagonal across two sides
diagonal_across_6_sides = (Diagonal across two sides*2) Go
Diagonal of Dodecagon across six sides given circumradius
diagonal_across_6_sides = 2*Radius Go

Diagonal of Dodecagon across six sides given inradius Formula

diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2))
d6 = 2*ri*((sqrt(6)+sqrt(2))/(sqrt(3)+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 six sides given inradius?

Diagonal of Dodecagon across six sides given inradius calculator uses diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2)) to calculate the Diagonal across six sides, The Diagonal of dodecagon across six sides given inradius formula is defined as a straight line connecting two vertices of dodecagon across 6 sides of dodecagon. Diagonal across six sides and is denoted by d6 symbol.

How to calculate Diagonal of Dodecagon across six sides given inradius using this online calculator? To use this online calculator for Diagonal of Dodecagon across six sides given inradius, enter Inradius (ri) and hit the calculate button. Here is how the Diagonal of Dodecagon across six sides given inradius calculation can be explained with given input values -> 20.70552 = 2*10*((sqrt(6)+sqrt(2))/(sqrt(3)+2)).

FAQ

What is Diagonal of Dodecagon across six sides given inradius?
The Diagonal of dodecagon across six sides given inradius formula is defined as a straight line connecting two vertices of dodecagon across 6 sides of dodecagon and is represented as d6 = 2*ri*((sqrt(6)+sqrt(2))/(sqrt(3)+2)) or diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2)). Inradius is defined as the radius of the circle which is inscribed inside the polygon.
How to calculate Diagonal of Dodecagon across six sides given inradius?
The Diagonal of dodecagon across six sides given inradius formula is defined as a straight line connecting two vertices of dodecagon across 6 sides of dodecagon is calculated using diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2)). To calculate Diagonal of Dodecagon across six 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 six sides?
In this formula, Diagonal across six sides uses Inradius. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • diagonal_across_6_sides = (sqrt(6)+sqrt(2))*Side A
  • diagonal_across_6_sides = (Diagonal across two sides*2)
  • diagonal_across_6_sides = 2*Radius
  • diagonal_across_6_sides = sqrt(Area/(3*(2+sqrt(3))))*(sqrt(6)+sqrt(2))
  • diagonal_across_6_sides = 2*Inradius*((sqrt(6)+sqrt(2))/(sqrt(3)+2))
  • diagonal_across_6_sides = (Perimeter/12)*(sqrt(6)+sqrt(2))
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!