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Long Diagonal of Hexagon given Area of Equilateral Triangle Formula

GoLong Diagonal of Hexagon given Height Formula

GoLong Diagonal of Hexagon given Inradius Formula

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The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon. Check FAQs

d Long = \sqrt{\frac{48 \cdot A Equilateral Triangle}{3 \cdot \sqrt{3}}}

d_Long - Long Diagonal of Hexagon?A_{Equilateral Triangle} - Area of Equilateral Triangle of Hexagon?

Long Diagonal of Hexagon given Area of Equilateral Triangle Example

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Here is how the Long Diagonal of Hexagon given Area of Equilateral Triangle equation looks like with Values.

Here is how the Long Diagonal of Hexagon given Area of Equilateral Triangle equation looks like with Units.

Here is how the Long Diagonal of Hexagon given Area of Equilateral Triangle equation looks like.

11.7713 = \sqrt{\frac{48 \cdot 15}{3 \cdot \sqrt{3}}}

11.7713m = \sqrt{\frac{48 \cdot 15m²}{3 \cdot \sqrt{3}}}

11.7713 = \sqrt{\frac{48 \cdot 15}{3 \cdot \sqrt{3}}}

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Long Diagonal of Hexagon given Area of Equilateral Triangle Solution

Follow our step by step solution on how to calculate Long Diagonal of Hexagon given Area of Equilateral Triangle?

FIRST Step Consider the formula

d Long = \sqrt{\frac{48 \cdot A Equilateral Triangle}{3 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

d Long = \sqrt{\frac{48 \cdot 15m²}{3 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

d Long = \sqrt{\frac{48 \cdot 15}{3 \cdot \sqrt{3}}}

Next Step Evaluate

∴

d Long = 11.7713238255308m

LAST Step Rounding Answer

∴

d Long = 11.7713m

Long Diagonal of Hexagon given Area of Equilateral Triangle Formula Elements

Variables

Functions

Long Diagonal of Hexagon

The Long Diagonal of Hexagon is the length of the line joining any pair of opposite vertices of the Hexagon.

Symbol: d_Long

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Diagonal of Hexagon

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.

Symbol: A_{Equilateral Triangle}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Equilateral Triangle of Hexagon

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.

Syntax: sqrt(Number)

Other Formulas to find Long Diagonal of Hexagon

Go Long Diagonal of Hexagon given Height

d Long = \frac{2}{\sqrt{3}} \cdot h

Go Long Diagonal of Hexagon given Inradius

d Long = \frac{4}{\sqrt{3}} \cdot r i

Go Long Diagonal of Hexagon given Perimeter

d Long = \frac{P}{3}

Go Long Diagonal of Hexagon given Short Diagonal

d Long = \frac{2}{\sqrt{3}} \cdot d Short

How to Evaluate Long Diagonal of Hexagon given Area of Equilateral Triangle?

Long Diagonal of Hexagon given Area of Equilateral Triangle evaluator uses Long Diagonal of Hexagon = sqrt((48*Area of Equilateral Triangle of Hexagon)/(3*sqrt(3))) to evaluate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Area of Equilateral Triangle formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon, calculated using the area of an equilateral triangle of Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to evaluate Long Diagonal of Hexagon given Area of Equilateral Triangle using this online evaluator? To use this online evaluator for Long Diagonal of Hexagon given Area of Equilateral Triangle, enter Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) and hit the calculate button.

FAQs on Long Diagonal of Hexagon given Area of Equilateral Triangle

What is the formula to find Long Diagonal of Hexagon given Area of Equilateral Triangle?

The formula of Long Diagonal of Hexagon given Area of Equilateral Triangle is expressed as Long Diagonal of Hexagon = sqrt((48*Area of Equilateral Triangle of Hexagon)/(3*sqrt(3))). Here is an example- 11.77132 = sqrt((48*15)/(3*sqrt(3))).

How to calculate Long Diagonal of Hexagon given Area of Equilateral Triangle?

With Area of Equilateral Triangle of Hexagon (A_{Equilateral Triangle}) we can find Long Diagonal of Hexagon given Area of Equilateral Triangle using the formula - Long Diagonal of Hexagon = sqrt((48*Area of Equilateral Triangle of Hexagon)/(3*sqrt(3))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Diagonal of Hexagon?

Here are the different ways to Calculate Long Diagonal of Hexagon-

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

Can the Long Diagonal of Hexagon given Area of Equilateral Triangle be negative?

No, the Long Diagonal of Hexagon given Area of Equilateral Triangle, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Hexagon given Area of Equilateral Triangle?

Long Diagonal of Hexagon given Area of Equilateral Triangle is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Diagonal of Hexagon given Area of Equilateral Triangle can be measured.

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