Area of Hexagon given Width Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2
A = (3*sqrt(3))/2*(w/2)^2
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
Area of Hexagon - (Measured in Square Meter) - The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.
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.
STEP 1: Convert Input(s) to Base Unit
Width of Hexagon: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
A = (3*sqrt(3))/2*(w/2)^2 --> (3*sqrt(3))/2*(12/2)^2
Evaluating ... ...
A = 93.5307436087194
STEP 3: Convert Result to Output's Unit
93.5307436087194 Square Meter --> No Conversion Required
FINAL ANSWER
93.5307436087194 93.53074 Square Meter <-- Area of Hexagon
(Calculation completed in 00.004 seconds)

Credits

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

Area of Hexagon given Long Diagonal
​ LaTeX ​ Go Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2
Area of Hexagon given Short Diagonal
​ LaTeX ​ Go Area of Hexagon = sqrt(3)/2*Short Diagonal of Hexagon^2
Area of Hexagon given Perimeter
​ LaTeX ​ Go Area of Hexagon = (Perimeter of Hexagon^2)/(8*sqrt(3))
Area of Hexagon given Area of Equilateral Triangle of Hexagon
​ LaTeX ​ Go Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon

Area of Hexagon given Width Formula

​LaTeX ​Go
Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2
A = (3*sqrt(3))/2*(w/2)^2

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 Area of Hexagon given Width?

Area of Hexagon given Width calculator uses Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2 to calculate the Area of Hexagon, The Area of Hexagon given Width formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon, calculated using width. Area of Hexagon is denoted by A symbol.

How to calculate Area of Hexagon given Width using this online calculator? To use this online calculator for Area of Hexagon given Width, enter Width of Hexagon (w) and hit the calculate button. Here is how the Area of Hexagon given Width calculation can be explained with given input values -> 93.53074 = (3*sqrt(3))/2*(12/2)^2.

FAQ

What is Area of Hexagon given Width?
The Area of Hexagon given Width formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon, calculated using width and is represented as A = (3*sqrt(3))/2*(w/2)^2 or Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2. The Width of Hexagon is the horizontal distance from the left most vertex to the right most vertex of the Hexagon.
How to calculate Area of Hexagon given Width?
The Area of Hexagon given Width formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon, calculated using width is calculated using Area of Hexagon = (3*sqrt(3))/2*(Width of Hexagon/2)^2. To calculate Area of Hexagon given Width, you need Width of Hexagon (w). With our tool, you need to enter the respective value for Width 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 Area of Hexagon?
In this formula, Area of Hexagon uses Width of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Area of Hexagon = 6*Area of Equilateral Triangle of Hexagon
  • Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2
  • Area of Hexagon = sqrt(3)/2*Short Diagonal of Hexagon^2
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