Long Diagonal of Hexagon given Area Calculator

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

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

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Long Diagonal of Hexagon given Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Area of Hexagon: 95 Square Meter --> 95 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

d_Long = sqrt((8*A)/(3*sqrt(3))) --> sqrt((8*95)/(3*sqrt(3)))

Evaluating ... ...

d_Long = 12.0938855705974

STEP 3: Convert Result to Output's Unit

12.0938855705974 Meter --> No Conversion Required

FINAL ANSWER

12.0938855705974 ≈ 12.09389 Meter <-- Long Diagonal of Hexagon

(Calculation completed in 00.013 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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< Long Diagonal of Hexagon Calculators

Long Diagonal of Hexagon given Short Diagonal

LaTeX Go Long Diagonal of Hexagon = 2/sqrt(3)*Short Diagonal of Hexagon

Long Diagonal of Hexagon given Inradius

LaTeX Go Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon

Long Diagonal of Hexagon given Height

LaTeX Go Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon

Long Diagonal of Hexagon given Perimeter

LaTeX Go Long Diagonal of Hexagon = Perimeter of Hexagon/3

Long Diagonal of Hexagon given Area Formula

LaTeX Go

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

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 Long Diagonal of Hexagon given Area?

Long Diagonal of Hexagon given Area calculator uses Long Diagonal of Hexagon = sqrt((8*Area of Hexagon)/(3*sqrt(3))) to calculate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Area formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the area of the Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to calculate Long Diagonal of Hexagon given Area using this online calculator? To use this online calculator for Long Diagonal of Hexagon given Area, enter Area of Hexagon (A) and hit the calculate button. Here is how the Long Diagonal of Hexagon given Area calculation can be explained with given input values -> 12.09389 = sqrt((8*95)/(3*sqrt(3))).

FAQ

What is Long Diagonal of Hexagon given Area?

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

How to calculate Long Diagonal of Hexagon given Area?

The Long Diagonal of Hexagon given Area formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the area of the Hexagon is calculated using Long Diagonal of Hexagon = sqrt((8*Area of Hexagon)/(3*sqrt(3))). To calculate Long Diagonal of Hexagon given Area, you need Area of Hexagon (A). With our tool, you need to enter the respective value for Area 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 Long Diagonal of Hexagon?

In this formula, Long Diagonal of Hexagon uses Area of Hexagon. We can use 3 other way(s) to calculate the same, which is/are as follows -

Long Diagonal of Hexagon = 2/sqrt(3)*Height of Hexagon
Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon
Long Diagonal of Hexagon = Perimeter of Hexagon/3

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