Area of Equilateral Triangle of Hexagon given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3))
AEquilateral Triangle = (P^2)/(48*sqrt(3))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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.
Perimeter of Hexagon - (Measured in Meter) - The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Hexagon: 36 Meter --> 36 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AEquilateral Triangle = (P^2)/(48*sqrt(3)) --> (36^2)/(48*sqrt(3))
Evaluating ... ...
AEquilateral Triangle = 15.5884572681199
STEP 3: Convert Result to Output's Unit
15.5884572681199 Square Meter --> No Conversion Required
FINAL ANSWER
15.5884572681199 Square Meter <-- Area of Equilateral Triangle of Hexagon
(Calculation completed in 00.009 seconds)

Credits

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Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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9 Area of Equilateral Triangle of Hexagon Calculators

Area of Equilateral Triangle of Hexagon given Circumradius
Area of Equilateral Triangle of Hexagon = ((1/4)*sqrt(3))*(Circumradius of Hexagon^2) Go
Area of Equilateral Triangle of Hexagon given Short Diagonal
Area of Equilateral Triangle of Hexagon = (sqrt(3)/12)*(Short Diagonal of Hexagon^2) Go
Area of Equilateral Triangle of Hexagon given Long Diagonal
Area of Equilateral Triangle of Hexagon = (sqrt(3)/16)*(Long Diagonal of Hexagon^2) Go
Area of Equilateral Triangle of Hexagon given Perimeter
Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3)) Go
Area of Equilateral Triangle of Hexagon given Inradius
Area of Equilateral Triangle of Hexagon = (1/3*sqrt(3))*(Inradius of Hexagon^2) Go
Area of Equilateral Triangle of Hexagon
Area of Equilateral Triangle of Hexagon = (sqrt(3)/4)*Edge Length of Hexagon^2 Go
Area of Equilateral Triangle of Hexagon given Height
Area of Equilateral Triangle of Hexagon = (sqrt(3)/12)*(Height of Hexagon^2) Go
Area of Equilateral Triangle of Hexagon given Width
Area of Equilateral Triangle of Hexagon = (sqrt(3)/4)*(Width of Hexagon/2)^2 Go
Area of Equilateral Triangle of Hexagon given Area of Hexagon
Area of Equilateral Triangle of Hexagon = Area of Hexagon/6 Go

Area of Equilateral Triangle of Hexagon given Perimeter Formula

Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3))
AEquilateral Triangle = (P^2)/(48*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 Area of Equilateral Triangle of Hexagon given Perimeter?

Area of Equilateral Triangle of Hexagon given Perimeter calculator uses Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3)) to calculate the Area of Equilateral Triangle of Hexagon, The Area of Equilateral Triangle of Hexagon given Perimeter formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the perimeter of Hexagon. Area of Equilateral Triangle of Hexagon is denoted by AEquilateral Triangle symbol.

How to calculate Area of Equilateral Triangle of Hexagon given Perimeter using this online calculator? To use this online calculator for Area of Equilateral Triangle of Hexagon given Perimeter, enter Perimeter of Hexagon (P) and hit the calculate button. Here is how the Area of Equilateral Triangle of Hexagon given Perimeter calculation can be explained with given input values -> 15.58846 = (36^2)/(48*sqrt(3)).

FAQ

What is Area of Equilateral Triangle of Hexagon given Perimeter?
The Area of Equilateral Triangle of Hexagon given Perimeter formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the perimeter of Hexagon and is represented as AEquilateral Triangle = (P^2)/(48*sqrt(3)) or Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3)). The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.
How to calculate Area of Equilateral Triangle of Hexagon given Perimeter?
The Area of Equilateral Triangle of Hexagon given Perimeter formula is defined as the total space occupied by each of the Equilateral triangles of the Hexagon, calculated using the perimeter of Hexagon is calculated using Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3)). To calculate Area of Equilateral Triangle of Hexagon given Perimeter, you need Perimeter of Hexagon (P). With our tool, you need to enter the respective value for Perimeter 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 Equilateral Triangle of Hexagon?
In this formula, Area of Equilateral Triangle of Hexagon uses Perimeter of Hexagon. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Area of Equilateral Triangle of Hexagon = Area of Hexagon/6
  • Area of Equilateral Triangle of Hexagon = ((1/4)*sqrt(3))*(Circumradius of Hexagon^2)
  • Area of Equilateral Triangle of Hexagon = (sqrt(3)/12)*(Height of Hexagon^2)
  • Area of Equilateral Triangle of Hexagon = (1/3*sqrt(3))*(Inradius of Hexagon^2)
  • Area of Equilateral Triangle of Hexagon = (sqrt(3)/16)*(Long Diagonal of Hexagon^2)
  • Area of Equilateral Triangle of Hexagon = (sqrt(3)/12)*(Short Diagonal of Hexagon^2)
  • Area of Equilateral Triangle of Hexagon = (sqrt(3)/4)*(Width of Hexagon/2)^2
  • Area of Equilateral Triangle of Hexagon = (sqrt(3)/4)*Edge Length of Hexagon^2
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