Diagonal of Dodecagon across Two Sides Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon
d2 = (sqrt(2)+sqrt(6))/2*S
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Diagonal Across Two Sides of Dodecagon - (Measured in Meter) - Diagonal across Two Sides of Dodecagon is a straight line joining two non-adjacent vertices across two sides of the Dodecagon.
Side of Dodecagon - (Measured in Meter) - Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Side of Dodecagon: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d2 = (sqrt(2)+sqrt(6))/2*S --> (sqrt(2)+sqrt(6))/2*10
Evaluating ... ...
d2 = 19.3185165257814
STEP 3: Convert Result to Output's Unit
19.3185165257814 Meter --> No Conversion Required
FINAL ANSWER
19.3185165257814 19.31852 Meter <-- Diagonal Across Two Sides of Dodecagon
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
Shweta Patil has created this Calculator and 2500+ more calculators!
Verifier Image
Verified by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has verified this Calculator and 1800+ more calculators!

Diagonal of Dodecagon across Two Sides Calculators

Diagonal of Dodecagon across Two Sides given Area
​ LaTeX ​ Go Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal of Dodecagon across Two Sides given Inradius
​ LaTeX ​ Go Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
Diagonal of Dodecagon across Two Sides
​ LaTeX ​ Go Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon
Diagonal of Dodecagon across Two Sides given Diagonal across Six Sides
​ LaTeX ​ Go Diagonal Across Two Sides of Dodecagon = Diagonal Across Six Sides of Dodecagon/2

Diagonal of Dodecagon Calculators

Diagonal of Dodecagon across Four Sides
​ LaTeX ​ Go Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Side of Dodecagon
Diagonal of Dodecagon across Five Sides
​ LaTeX ​ Go Diagonal Across Five Sides of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Diagonal of Dodecagon across Five Sides given Height
​ LaTeX ​ Go Diagonal Across Five Sides of Dodecagon = Height of Dodecagon/1
Diagonal of Dodecagon across Five Sides given Width
​ LaTeX ​ Go Diagonal Across Five Sides of Dodecagon = Width of Dodecagon/1

Diagonal of Dodecagon across Two Sides Formula

​LaTeX ​Go
Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon
d2 = (sqrt(2)+sqrt(6))/2*S

What is Dodecagon?

A regular dodecagon is a figure with sides of the same length and internal angles of the same size. It has twelve lines of reflective symmetry and rotational symmetry of order 12. It can be constructed as a truncated hexagon, t{6}, or a twice-truncated triangle, tt{3}. The internal angle at each vertex of a regular dodecagon is 150°.

How to Calculate Diagonal of Dodecagon across Two Sides?

Diagonal of Dodecagon across Two Sides calculator uses Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon to calculate the Diagonal Across Two Sides of Dodecagon, The Diagonal of Dodecagon across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across two sides of the Dodecagon. Diagonal Across Two Sides of Dodecagon is denoted by d2 symbol.

How to calculate Diagonal of Dodecagon across Two Sides using this online calculator? To use this online calculator for Diagonal of Dodecagon across Two Sides, enter Side of Dodecagon (S) and hit the calculate button. Here is how the Diagonal of Dodecagon across Two Sides calculation can be explained with given input values -> 19.31852 = (sqrt(2)+sqrt(6))/2*10.

FAQ

What is Diagonal of Dodecagon across Two Sides?
The Diagonal of Dodecagon across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across two sides of the Dodecagon and is represented as d2 = (sqrt(2)+sqrt(6))/2*S or Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon. Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.
How to calculate Diagonal of Dodecagon across Two Sides?
The Diagonal of Dodecagon across Two Sides formula is defined as the straight line connecting two non-adjacent vertices across two sides of the Dodecagon is calculated using Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Side of Dodecagon. To calculate Diagonal of Dodecagon across Two Sides, you need Side of Dodecagon (S). With our tool, you need to enter the respective value for Side of Dodecagon 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 Two Sides of Dodecagon?
In this formula, Diagonal Across Two Sides of Dodecagon uses Side of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal Across Two Sides of Dodecagon = Diagonal Across Six Sides of Dodecagon/2
  • Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
  • Diagonal Across Two Sides of Dodecagon = (sqrt(2)+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!