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Long Diagonal of Hexagon given Inradius Formula

GoLong Diagonal of Hexagon given Height Formula

GoLong Diagonal of Hexagon given Perimeter 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 = \frac{4}{\sqrt{3}} \cdot r i

d_Long - Long Diagonal of Hexagon?r_i - Inradius of Hexagon?

Long Diagonal of Hexagon given Inradius Example

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Here is how the Long Diagonal of Hexagon given Inradius equation looks like with Values.

Here is how the Long Diagonal of Hexagon given Inradius equation looks like with Units.

Here is how the Long Diagonal of Hexagon given Inradius equation looks like.

11.547 = \frac{4}{\sqrt{3}} \cdot 5

11.547m = \frac{4}{\sqrt{3}} \cdot 5m

11.547 = \frac{4}{\sqrt{3}} \cdot 5

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Long Diagonal of Hexagon given Inradius Solution

Follow our step by step solution on how to calculate Long Diagonal of Hexagon given Inradius?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Long = \frac{4}{\sqrt{3}} \cdot 5m

Next Step Prepare to Evaluate

∴

d Long = \frac{4}{\sqrt{3}} \cdot 5

Next Step Evaluate

∴

d Long = 11.5470053837925m

LAST Step Rounding Answer

∴

d Long = 11.547m

Long Diagonal of Hexagon given Inradius 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

Inradius of Hexagon

The Inradius of Hexagon is the radius of incircle of the Hexagon or the circle that contained by the Hexagon with all edges touch the circle.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inradius 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 Perimeter

d Long = \frac{P}{3}

Go Long Diagonal of Hexagon given Short Diagonal

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

Go Long Diagonal of Hexagon given Area

d Long = \sqrt{\frac{8 \cdot A}{3 \cdot \sqrt{3}}}

How to Evaluate Long Diagonal of Hexagon given Inradius?

Long Diagonal of Hexagon given Inradius evaluator uses Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon to evaluate the Long Diagonal of Hexagon, The Long Diagonal of Hexagon given Inradius formula is defined as the length of the line joining any pair of opposite vertices of the Regular Hexagon and calculated using the inradius of the Hexagon. Long Diagonal of Hexagon is denoted by d_Long symbol.

How to evaluate Long Diagonal of Hexagon given Inradius using this online evaluator? To use this online evaluator for Long Diagonal of Hexagon given Inradius, enter Inradius of Hexagon (r_i) and hit the calculate button.

FAQs on Long Diagonal of Hexagon given Inradius

What is the formula to find Long Diagonal of Hexagon given Inradius?

The formula of Long Diagonal of Hexagon given Inradius is expressed as Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon. Here is an example- 11.54701 = 4/sqrt(3)*5.

How to calculate Long Diagonal of Hexagon given Inradius?

With Inradius of Hexagon (r_i) we can find Long Diagonal of Hexagon given Inradius using the formula - Long Diagonal of Hexagon = 4/sqrt(3)*Inradius of Hexagon. 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=Perimeter of Hexagon/3
Long Diagonal of Hexagon=2/sqrt(3)*Short Diagonal of Hexagon

Can the Long Diagonal of Hexagon given Inradius be negative?

No, the Long Diagonal of Hexagon given Inradius, measured in Length cannot be negative.

Which unit is used to measure Long Diagonal of Hexagon given Inradius?

Long Diagonal of Hexagon given Inradius 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 Inradius can be measured.

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