Area of Equilateral Triangle of Hexagon given Perimeter Calculator

✖The Perimeter of Hexagon is the total length of all the boundary lines of the Hexagon.ⓘ Perimeter of Hexagon [P]

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✖Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.ⓘ Area of Equilateral Triangle of Hexagon given Perimeter [A_{Equilateral Triangle}]

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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))
A_{Equilateral Triangle} = (P^2)/(48*sqrt(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

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

A_{Equilateral Triangle} = (P^2)/(48*sqrt(3)) --> (36^2)/(48*sqrt(3))

Evaluating ... ...

A_{Equilateral Triangle} = 15.5884572681199

STEP 3: Convert Result to Output's Unit

15.5884572681199 Square Meter --> No Conversion Required

FINAL ANSWER

15.5884572681199 ≈ 15.58846 Square Meter <-- Area of Equilateral Triangle of Hexagon

(Calculation completed in 00.020 seconds)

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< Area of Equilateral Triangle of Hexagon Calculators

Area of Equilateral Triangle of Hexagon given Circumradius

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/4*Circumradius of Hexagon^2

Area of Equilateral Triangle of Hexagon given Inradius

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/3*Inradius of Hexagon^2

Area of Equilateral Triangle of Hexagon given Height

LaTeX Go Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Height of Hexagon^2

Area of Equilateral Triangle of Hexagon given Area of Hexagon

LaTeX Go Area of Equilateral Triangle of Hexagon = Area of Hexagon/6

Area of Equilateral Triangle of Hexagon given Perimeter Formula

LaTeX Go

Area of Equilateral Triangle of Hexagon = (Perimeter of Hexagon^2)/(48*sqrt(3))
A_{Equilateral 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 A_{Equilateral 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 A_{Equilateral 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 3 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 = sqrt(3)/4*Circumradius of Hexagon^2
Area of Equilateral Triangle of Hexagon = sqrt(3)/12*Height of Hexagon^2

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