Width of Dodecagon Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
w = (2+sqrt(3))*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
Width of Dodecagon - (Measured in Meter) - The Width of Dodecagon is the horizontal distance from the left most edge to the right most edge of the Regular 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
w = (2+sqrt(3))*S --> (2+sqrt(3))*10
Evaluating ... ...
w = 37.3205080756888
STEP 3: Convert Result to Output's Unit
37.3205080756888 Meter --> No Conversion Required
FINAL ANSWER
37.3205080756888 37.32051 Meter <-- Width of Dodecagon
(Calculation completed in 00.004 seconds)

Credits

Created by Himanshu Srivastava
Lloyd Business School (LBS), Greater Noida
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Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
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11 Width of Dodecagon Calculators

Width of Dodecagon given Diagonal across Four Sides
Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
Width of Dodecagon given Diagonal across Two Sides
Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
Width of Dodecagon given Diagonal across Six Sides
Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
Width of Dodecagon given Circumradius
Go Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
Width of Dodecagon given Diagonal across Three Sides
Go Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
Width of Dodecagon given Area
Go Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon given Perimeter
Go Width of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
Width of Dodecagon
Go Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Width of Dodecagon given Diagonal across Five Sides
Go Width of Dodecagon = Diagonal Across Five Sides of Dodecagon/1
Width of Dodecagon given Inradius
Go Width of Dodecagon = 2*Inradius of Dodecagon
Width of Dodecagon given Height
Go Width of Dodecagon = Height of Dodecagon/1

3 Width of Dodecagon Calculators

Width of Dodecagon given Area
Go Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
Width of Dodecagon
Go Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
Width of Dodecagon given Inradius
Go Width of Dodecagon = 2*Inradius of Dodecagon

Width of Dodecagon Formula

Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
w = (2+sqrt(3))*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 Width of Dodecagon?

Width of Dodecagon calculator uses Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon to calculate the Width of Dodecagon, The Width of Dodecagon formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon. Width of Dodecagon is denoted by w symbol.

How to calculate Width of Dodecagon using this online calculator? To use this online calculator for Width of Dodecagon, enter Side of Dodecagon (S) and hit the calculate button. Here is how the Width of Dodecagon calculation can be explained with given input values -> 37.32051 = (2+sqrt(3))*10.

FAQ

What is Width of Dodecagon?
The Width of Dodecagon formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon and is represented as w = (2+sqrt(3))*S or Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon. Side of Dodecagon is the length of the straight line joining two adjacent vertices of the Dodecagon.
How to calculate Width of Dodecagon?
The Width of Dodecagon formula is defined as the horizontal distance from the left most edge to the right most edge of the regular Dodecagon is calculated using Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon. To calculate Width of Dodecagon, 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 Width of Dodecagon?
In this formula, Width of Dodecagon uses Side of Dodecagon. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
  • Width of Dodecagon = (2+sqrt(3))*Diagonal Across Six Sides of Dodecagon/(sqrt(6)+sqrt(2))
  • Width of Dodecagon = Diagonal Across Five Sides of Dodecagon/1
  • Width of Dodecagon = (2+sqrt(3))*Diagonal Across Four Sides of Dodecagon/(((3*sqrt(2))+sqrt(6))/2)
  • Width of Dodecagon = (2+sqrt(3))*Diagonal Across Three Sides of Dodecagon/(sqrt(3)+1)
  • Width of Dodecagon = (2+sqrt(3))*Diagonal Across Two Sides of Dodecagon/((sqrt(2)+sqrt(6))/2)
  • Width of Dodecagon = Height of Dodecagon/1
  • Width of Dodecagon = (2+sqrt(3))*Perimeter of Dodecagon/12
  • Width of Dodecagon = (2+sqrt(3))*Circumradius of Dodecagon/((sqrt(6)+sqrt(2))/2)
  • Width of Dodecagon = 2*Inradius of Dodecagon
  • Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
  • Width of Dodecagon = 2*Inradius of Dodecagon
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