Width of Dodecagon given Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
w = sqrt(((2+sqrt(3))*A)/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
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.
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
w = sqrt(((2+sqrt(3))*A)/3) --> sqrt(((2+sqrt(3))*1120)/3)
Evaluating ... ...
w = 37.3269201536779
STEP 3: Convert Result to Output's Unit
37.3269201536779 Meter --> No Conversion Required
FINAL ANSWER
37.3269201536779 37.32692 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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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 given Area Formula

Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3)
w = sqrt(((2+sqrt(3))*A)/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 Width of Dodecagon given Area?

Width of Dodecagon given Area calculator uses Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3) to calculate the Width of Dodecagon, The Width of Dodecagon given Area formula is defined as the horizontal distance from the leftmost edge to the rightmost edge of the regular Dodecagon, calculated using its area. Width of Dodecagon is denoted by w symbol.

How to calculate Width of Dodecagon given Area using this online calculator? To use this online calculator for Width of Dodecagon given Area, enter Area of Dodecagon (A) and hit the calculate button. Here is how the Width of Dodecagon given Area calculation can be explained with given input values -> 37.32692 = sqrt(((2+sqrt(3))*1120)/3).

FAQ

What is Width of Dodecagon given Area?
The Width of Dodecagon given Area formula is defined as the horizontal distance from the leftmost edge to the rightmost edge of the regular Dodecagon, calculated using its area and is represented as w = sqrt(((2+sqrt(3))*A)/3) or Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). Area of Dodecagon is the amount of 2-dimensional space occupied by the Dodecagon.
How to calculate Width of Dodecagon given Area?
The Width of Dodecagon given Area formula is defined as the horizontal distance from the leftmost edge to the rightmost edge of the regular Dodecagon, calculated using its area is calculated using Width of Dodecagon = sqrt(((2+sqrt(3))*Area of Dodecagon)/3). To calculate Width of Dodecagon 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 Width of Dodecagon?
In this formula, Width of Dodecagon uses Area of Dodecagon. We can use 12 other way(s) to calculate the same, which is/are as follows -
  • Width of Dodecagon = (2+sqrt(3))*Side of Dodecagon
  • 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 = (2+sqrt(3))*Side of Dodecagon
  • Width of Dodecagon = 2*Inradius of Dodecagon
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