Perimeter of Hexagon given Area of Equilateral Triangle Calculator

✖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 [A_{Equilateral Triangle}]

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

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Formula

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Perimeter of Hexagon given Area of Equilateral Triangle

Formula

`"P" = 6*sqrt(4/sqrt(3)*"A"_{"Equilateral Triangle"})`

Example

`"35.31397m"=6*sqrt(4/sqrt(3)*"15m²")`

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Perimeter of Hexagon given Area of Equilateral Triangle Solution

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)
P = 6*sqrt(4/sqrt(3)*A_{Equilateral Triangle})
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

Perimeter of Hexagon - (Measured in Meter) - The Perimeter of Hexagon is the total length of all the boundary lines 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

P = 6*sqrt(4/sqrt(3)*A_{Equilateral Triangle}) --> 6*sqrt(4/sqrt(3)*15)

Evaluating ... ...

P = 35.3139714765925

STEP 3: Convert Result to Output's Unit

35.3139714765925 Meter --> No Conversion Required

FINAL ANSWER

35.3139714765925 ≈ 35.31397 Meter <-- Perimeter of Hexagon

(Calculation completed in 00.004 seconds)

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< 9 Perimeter of Hexagon Calculators

Perimeter of Hexagon given Area of Equilateral Triangle

Go Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)

Perimeter of Hexagon given Area

Go Perimeter of Hexagon = sqrt(8*sqrt(3)*Area of Hexagon)

Perimeter of Hexagon given Short Diagonal

Go Perimeter of Hexagon = 2*sqrt(3)*Short Diagonal of Hexagon

Perimeter of Hexagon given Inradius

Go Perimeter of Hexagon = 4*sqrt(3)*Inradius of Hexagon

Perimeter of Hexagon given Height

Go Perimeter of Hexagon = 2*sqrt(3)*Height of Hexagon

Perimeter of Hexagon given Long Diagonal

Go Perimeter of Hexagon = 3*Long Diagonal of Hexagon

Perimeter of Hexagon given Circumradius

Go Perimeter of Hexagon = 6*Circumradius of Hexagon

Perimeter of Hexagon

Go Perimeter of Hexagon = 6*Edge Length of Hexagon

Perimeter of Hexagon given Width

Go Perimeter of Hexagon = 3*Width of Hexagon

Perimeter of Hexagon given Area of Equilateral Triangle Formula

Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon)
P = 6*sqrt(4/sqrt(3)*A_{Equilateral Triangle})

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 Perimeter of Hexagon given Area of Equilateral Triangle?

Perimeter of Hexagon given Area of Equilateral Triangle calculator uses Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon) to calculate the Perimeter of Hexagon, The Perimeter of Hexagon given Area of Equilateral Triangle formula is defined as the total length of all the boundary lines of the Regular Hexagon, and calculated using area of equilateral triangle. Perimeter of Hexagon is denoted by P symbol.

How to calculate Perimeter of Hexagon given Area of Equilateral Triangle using this online calculator? To use this online calculator for Perimeter of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button. Here is how the Perimeter of Hexagon given Area of Equilateral Triangle calculation can be explained with given input values -> 35.31397 = 6*sqrt(4/sqrt(3)*15).

FAQ

What is Perimeter of Hexagon given Area of Equilateral Triangle?

The Perimeter of Hexagon given Area of Equilateral Triangle formula is defined as the total length of all the boundary lines of the Regular Hexagon, and calculated using area of equilateral triangle and is represented as P = 6*sqrt(4/sqrt(3)*A_{Equilateral Triangle}) or Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon). Area of Equilateral Triangle of Hexagon is defined as the area of each of the Equilateral triangles, forming the Hexagon.

How to calculate Perimeter of Hexagon given Area of Equilateral Triangle?

The Perimeter of Hexagon given Area of Equilateral Triangle formula is defined as the total length of all the boundary lines of the Regular Hexagon, and calculated using area of equilateral triangle is calculated using Perimeter of Hexagon = 6*sqrt(4/sqrt(3)*Area of Equilateral Triangle of Hexagon). To calculate Perimeter of Hexagon given Area of Equilateral Triangle, you need Area of Equilateral Triangle of Hexagon (A_{Equilateral 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 Perimeter of Hexagon?

In this formula, Perimeter 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 -

Perimeter of Hexagon = 3*Long Diagonal of Hexagon
Perimeter of Hexagon = 2*sqrt(3)*Short Diagonal of Hexagon
Perimeter of Hexagon = sqrt(8*sqrt(3)*Area of Hexagon)
Perimeter of Hexagon = 2*sqrt(3)*Height of Hexagon
Perimeter of Hexagon = 4*sqrt(3)*Inradius of Hexagon
Perimeter of Hexagon = 6*Circumradius of Hexagon
Perimeter of Hexagon = 3*Width of Hexagon
Perimeter of Hexagon = 6*Edge Length of Hexagon

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