Area of Hexagon given Long Diagonal Calculator

✖The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.ⓘ Long Diagonal of Hexagon [d_Long]

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✖The Area of Hexagon is the total quantity of plane enclosed by the boundary lines of the Hexagon.ⓘ Area of Hexagon given Long Diagonal [A]

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Area of Hexagon given Long Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2
A = (3*sqrt(3))/8*d_Long^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.
Long Diagonal of Hexagon - (Measured in Meter) - The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

STEP 1: Convert Input(s) to Base Unit

Long Diagonal of Hexagon: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A = (3*sqrt(3))/8*d_Long^2 --> (3*sqrt(3))/8*12^2

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)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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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 Long Diagonal Formula

LaTeX Go

Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2
A = (3*sqrt(3))/8*d_Long^2

What is a 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 Long Diagonal?

Area of Hexagon given Long Diagonal calculator uses Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2 to calculate the Area of Hexagon, The Area of Hexagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the long diagonal of the Hexagon. Area of Hexagon is denoted by A symbol.

How to calculate Area of Hexagon given Long Diagonal using this online calculator? To use this online calculator for Area of Hexagon given Long Diagonal, enter Long Diagonal of Hexagon (d_Long) and hit the calculate button. Here is how the Area of Hexagon given Long Diagonal calculation can be explained with given input values -> 93.53074 = (3*sqrt(3))/8*12^2.

FAQ

What is Area of Hexagon given Long Diagonal?

The Area of Hexagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the long diagonal of the Hexagon and is represented as A = (3*sqrt(3))/8*d_Long^2 or Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2. The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

How to calculate Area of Hexagon given Long Diagonal?

The Area of Hexagon given Long Diagonal formula is defined as the total quantity of plane enclosed by the boundary lines of the Regular Hexagon and calculated using the long diagonal of the Hexagon is calculated using Area of Hexagon = (3*sqrt(3))/8*Long Diagonal of Hexagon^2. To calculate Area of Hexagon given Long Diagonal, you need Long Diagonal of Hexagon (d_Long). With our tool, you need to enter the respective value for Long Diagonal 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 Long Diagonal 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 = sqrt(3)/2*Short Diagonal of Hexagon^2
Area of Hexagon = (Perimeter of Hexagon^2)/(8*sqrt(3))

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