Diagonal of Dodecagon across Four Sides given Height Solution

STEP 0: Pre-Calculation Summary
Formula Used
Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height of Dodecagon/(2+sqrt(3))
d4 = (3*sqrt(2)+sqrt(6))/2*h/(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 Four Sides of Dodecagon - (Measured in Meter) - Diagonal across Four Sides of Dodecagon is a straight line joining two non-adjacent vertices across four sides of the Dodecagon.
Height of Dodecagon - (Measured in Meter) - Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.
STEP 1: Convert Input(s) to Base Unit
Height of Dodecagon: 37 Meter --> 37 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
d4 = (3*sqrt(2)+sqrt(6))/2*h/(2+sqrt(3)) --> (3*sqrt(2)+sqrt(6))/2*37/(2+sqrt(3))
Evaluating ... ...
d4 = 33.173292470218
STEP 3: Convert Result to Output's Unit
33.173292470218 Meter --> No Conversion Required
FINAL ANSWER
33.173292470218 33.17329 Meter <-- Diagonal Across Four 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 Four Sides Calculators

Diagonal of Dodecagon across Four Sides given Circumradius
​ LaTeX ​ Go Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
Diagonal of Dodecagon across Four Sides given Area
​ LaTeX ​ Go Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Diagonal of Dodecagon across Four Sides given Inradius
​ LaTeX ​ Go Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Inradius of Dodecagon/((2+sqrt(3))/2)
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 Four Sides given Height Formula

​LaTeX ​Go
Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height of Dodecagon/(2+sqrt(3))
d4 = (3*sqrt(2)+sqrt(6))/2*h/(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 Four Sides given Height?

Diagonal of Dodecagon across Four Sides given Height calculator uses Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height of Dodecagon/(2+sqrt(3)) to calculate the Diagonal Across Four Sides of Dodecagon, The Diagonal of Dodecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of Dodecagon, calculated using height. Diagonal Across Four Sides of Dodecagon is denoted by d4 symbol.

How to calculate Diagonal of Dodecagon across Four Sides given Height using this online calculator? To use this online calculator for Diagonal of Dodecagon across Four Sides given Height, enter Height of Dodecagon (h) and hit the calculate button. Here is how the Diagonal of Dodecagon across Four Sides given Height calculation can be explained with given input values -> 33.17329 = (3*sqrt(2)+sqrt(6))/2*37/(2+sqrt(3)).

FAQ

What is Diagonal of Dodecagon across Four Sides given Height?
The Diagonal of Dodecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of Dodecagon, calculated using height and is represented as d4 = (3*sqrt(2)+sqrt(6))/2*h/(2+sqrt(3)) or Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height of Dodecagon/(2+sqrt(3)). Height of Dodecagon is the length of the perpendicular distance between any pair of opposite sides of the Dodecagon.
How to calculate Diagonal of Dodecagon across Four Sides given Height?
The Diagonal of Dodecagon across Four Sides given Height formula is defined as the straight line connecting two non-adjacent vertices across four sides of Dodecagon, calculated using height is calculated using Diagonal Across Four Sides of Dodecagon = (3*sqrt(2)+sqrt(6))/2*Height of Dodecagon/(2+sqrt(3)). To calculate Diagonal of Dodecagon across Four Sides given Height, you need Height of Dodecagon (h). With our tool, you need to enter the respective value for Height 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 Four Sides of Dodecagon?
In this formula, Diagonal Across Four Sides of Dodecagon uses Height of Dodecagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Side of Dodecagon
  • Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
  • Diagonal Across Four Sides of Dodecagon = ((3*sqrt(2))+sqrt(6))/2*sqrt(Area of Dodecagon/(3*(2+sqrt(3))))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!