Width of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3))
w = 4*sqrt(AEquilateral Triangle/sqrt(3))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Width of Hexagon - (Measured in Meter) - The Width of Hexagon is the horizontal distance from the left most vertex to the right most vertex of the Hexagon.
Area of Equilateral Triangle of Hexagon - (Measured in Square Meter) - Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.
STEP 1: Convert Input(s) to Base Unit
Area of Equilateral Triangle of Hexagon: 15 Square Meter --> 15 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
w = 4*sqrt(AEquilateral Triangle/sqrt(3)) --> 4*sqrt(15/sqrt(3))
Evaluating ... ...
w = 11.7713238255308
STEP 3: Convert Result to Output's Unit
11.7713238255308 Meter --> No Conversion Required
FINAL ANSWER
11.7713238255308 Meter <-- Width of Hexagon
(Calculation completed in 00.008 seconds)

Credits

Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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9 Width of Hexagon Calculators

Width of Hexagon given Area of Equilateral Triangle
Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3)) Go
Width of Hexagon given Area
Width of Hexagon = sqrt(8/(3*sqrt(3))*Area of Hexagon) Go
Width of Hexagon given Short Diagonal
Width of Hexagon = 2*Short Diagonal of Hexagon/sqrt(3) Go
Width of Hexagon given Inradius
Width of Hexagon = 4*Inradius of Hexagon/sqrt(3) Go
Width of Hexagon given Height
Width of Hexagon = 2*Height of Hexagon/sqrt(3) Go
Width of Hexagon given Long Diagonal
Width of Hexagon = Long Diagonal of Hexagon/1 Go
Width of Hexagon given Circumradius
Width of Hexagon = 2*Circumradius of Hexagon Go
Width of Hexagon
Width of Hexagon = 2*Edge Length of Hexagon Go
Width of Hexagon given Perimeter
Width of Hexagon = Perimeter of Hexagon/3 Go

Width of Hexagon given Area of Equilateral Triangle Formula

Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3))
w = 4*sqrt(AEquilateral Triangle/sqrt(3))

What is Hexagon?

A regular Hexagon is defined as a hexagon that is both equilateral and equiangular. Simply it is the six sided regular polygon. It is bicentric, meaning that it is both cyclic (has a circumscribed circle) and tangential (has an inscribed circle). The common length of the sides equals the radius of the circumscribed circle or circumcircle, which equals 2/sqrt(3) times the apothem (radius of the inscribed circle). All internal angles are 120 degrees. A regular Hexagon has six rotational symmetries.

How to Calculate Width of Hexagon given Area of Equilateral Triangle?

Width of Hexagon given Area of Equilateral Triangle calculator uses Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3)) to calculate the Width of Hexagon, The Width of Hexagon given Area of Equilateral Triangle formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using area of Equilateral triangle. Width of Hexagon is denoted by w symbol.

How to calculate Width of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Width of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (AEquilateral Triangle) and hit the calculate button. Here is how the Width of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 11.77132 = 4*sqrt(15/sqrt(3)).

FAQ

What is Width of Hexagon given Area of Equilateral Triangle?
The Width of Hexagon given Area of Equilateral Triangle formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using area of Equilateral triangle and is represented as w = 4*sqrt(AEquilateral Triangle/sqrt(3)) or Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3)). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.
How to calculate Width of Hexagon given Area of Equilateral Triangle?
The Width of Hexagon given Area of Equilateral Triangle formula is defined as the horizontal distance from the left most vertex to the right most vertex of the Regular Hexagon, calculated using area of Equilateral triangle is calculated using Width of Hexagon = 4*sqrt(Area of Equilateral Triangle of Hexagon/sqrt(3)). To calculate Width of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (AEquilateral Triangle). With our tool, you need to enter the respective value for Area of Equilateral Triangle of Hexagon 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 Hexagon?
In this formula, Width of Hexagon uses Area of Equilateral Triangle of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Width of Hexagon = Perimeter of Hexagon/3
  • Width of Hexagon = 2*Circumradius of Hexagon
  • Width of Hexagon = 2*Edge Length of Hexagon
  • Width of Hexagon = 2*Height of Hexagon/sqrt(3)
  • Width of Hexagon = sqrt(8/(3*sqrt(3))*Area of Hexagon)
  • Width of Hexagon = 4*Inradius of Hexagon/sqrt(3)
  • Width of Hexagon = 2*Short Diagonal of Hexagon/sqrt(3)
  • Width of Hexagon = Long Diagonal of Hexagon/1
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