Diagonal of Dodecagon across Six Sides given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
d6 = (sqrt(6)+sqrt(2))*sqrt(A/(3*(2+sqrt(3))))
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 Six Sides of Dodecagon - (Measured in Meter) - Diagonal across Six Sides of Dodecagon is a straight line joining two non-adjacent vertices across six sides of the Dodecagon.
Area of Dodecagon - (Measured in Square Meter) - Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Area of Dodecagon: 1120 Square Meter --> 1120 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d6 = (sqrt(6)+sqrt(2))*sqrt(A/(3*(2+sqrt(3)))) --> (sqrt(6)+sqrt(2))*sqrt(1120/(3*(2+sqrt(3))))
Evaluating ... ...
d6 = 38.6436713231718
STEP 3: Convert Result to Output's Unit
38.6436713231718 Meter --> No Conversion Required
FINAL ANSWER
38.6436713231718 38.64367 Meter <-- Diagonal Across Six Sides of Dodecagon
(Calculation completed in 00.004 seconds)

Credits

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

11 Diagonal of Dodecagon across Six Sides Calculators

Diagonal of Dodecagon across Six Sides given Diagonal across Four Sides
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Diagonal of Dodecagon across Six Sides given Area
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal of Dodecagon across Six Sides given Diagonal across Five Sides
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
Diagonal of Dodecagon across Six Sides given Inradius
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Inradius of Dodecagon/((2+sqrt(3))/2)
Diagonal of Dodecagon across Six Sides given Height
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3))
Diagonal of Dodecagon across Six Sides given Width
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Width of Dodecagon/(2+sqrt(3))
Diagonal of Dodecagon across Six Sides given Perimeter
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Perimeter of Dodecagon/12
Diagonal of Dodecagon across Six Sides
Go Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Side of Dodecagon
Diagonal of Dodecagon across Six Sides given Diagonal across Three Sides
Go Diagonal Across Six Sides of Dodecagon = sqrt(2)*Diagonal Across Three Sides of Dodecagon
Diagonal of Dodecagon across Six Sides given Diagonal across Two Sides
Go Diagonal Across Six Sides of Dodecagon = 2*Diagonal Across Two Sides of Dodecagon
Diagonal of Dodecagon across Six Sides given Circumradius
Go Diagonal Across Six Sides of Dodecagon = 2*Circumradius of Dodecagon

Diagonal of Dodecagon across Six Sides given Area Formula

Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
d6 = (sqrt(6)+sqrt(2))*sqrt(A/(3*(2+sqrt(3))))

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 Six Sides given Area?

Diagonal of Dodecagon across Six Sides given Area calculator uses Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))) to calculate the Diagonal Across Six Sides of Dodecagon, The Diagonal of Dodecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using area. Diagonal Across Six Sides of Dodecagon is denoted by d6 symbol.

How to calculate Diagonal of Dodecagon across Six Sides given Area using this online calculator? To use this online calculator for Diagonal of Dodecagon across Six Sides given Area, enter Area of Dodecagon (A) and hit the calculate button. Here is how the Diagonal of Dodecagon across Six Sides given Area calculation can be explained with given input values -> 38.64367 = (sqrt(6)+sqrt(2))*sqrt(1120/(3*(2+sqrt(3)))).

FAQ

What is Diagonal of Dodecagon across Six Sides given Area?
The Diagonal of Dodecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using area and is represented as d6 = (sqrt(6)+sqrt(2))*sqrt(A/(3*(2+sqrt(3)))) or Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.
How to calculate Diagonal of Dodecagon across Six Sides given Area?
The Diagonal of Dodecagon across Six Sides given Area formula is defined as the straight line connecting two non-adjacent vertices across six sides of the Dodecagon, calculated using area is calculated using Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*sqrt(Area of Dodecagon/(3*(2+sqrt(3)))). To calculate Diagonal of Dodecagon across Six Sides given Area, you need Area of Dodecagon (A). With our tool, you need to enter the respective value for Area 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 Six Sides of Dodecagon?
In this formula, Diagonal Across Six Sides of Dodecagon uses Area of Dodecagon. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Side of Dodecagon
  • Diagonal Across Six Sides of Dodecagon = 2*Diagonal Across Two Sides of Dodecagon
  • Diagonal Across Six Sides of Dodecagon = 2*Circumradius of Dodecagon
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Inradius of Dodecagon/((2+sqrt(3))/2)
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Perimeter of Dodecagon/12
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Height of Dodecagon/(2+sqrt(3))
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Five Sides of Dodecagon/(2+sqrt(3))
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
  • Diagonal Across Six Sides of Dodecagon = sqrt(2)*Diagonal Across Three Sides of Dodecagon
  • Diagonal Across Six Sides of Dodecagon = (sqrt(6)+sqrt(2))*Width of Dodecagon/(2+sqrt(3))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!