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Long Edge of Hexakis Octahedron given Insphere Radius Formula

GoLong Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoLong Edge of Hexakis Octahedron given Medium Edge Formula

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Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron. Check FAQs

l e(Long) = \frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

l_e(Long) - Long Edge of Hexakis Octahedron?r_i - Insphere Radius of Hexakis Octahedron?

Long Edge of Hexakis Octahedron given Insphere Radius Example

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Here is how the Long Edge of Hexakis Octahedron given Insphere Radius equation looks like with Values.

Here is how the Long Edge of Hexakis Octahedron given Insphere Radius equation looks like with Units.

Here is how the Long Edge of Hexakis Octahedron given Insphere Radius equation looks like.

19.2602 = \frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

19.2602m = \frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

19.2602 = \frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

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Long Edge of Hexakis Octahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Long Edge of Hexakis Octahedron given Insphere Radius?

FIRST Step Consider the formula

l e(Long) = \frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

Next Step Substitute values of Variables

∴

l e(Long) = \frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

Next Step Prepare to Evaluate

∴

l e(Long) = \frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}

Next Step Evaluate

∴

l e(Long) = 19.2602388188319m

LAST Step Rounding Answer

∴

l e(Long) = 19.2602m

Long Edge of Hexakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

Long Edge of Hexakis Octahedron

Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Hexakis Octahedron

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 Edge of Hexakis Octahedron

Go Long Edge of Hexakis Octahedron given Truncated Cuboctahedron Edge

l e(Long) = (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot l e(Truncated Cuboctahedron)

Go Long Edge of Hexakis Octahedron given Medium Edge

l e(Long) = (\frac{14}{3}) \cdot (\frac{l e(Medium)}{1 + (2 \cdot \sqrt{2})})

Go Long Edge of Hexakis Octahedron given Short Edge

l e(Long) = \frac{14 \cdot l e(Short)}{10 - \sqrt{2}}

Go Long Edge of Hexakis Octahedron given Total Surface Area

l e(Long) = \sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}}

How to Evaluate Long Edge of Hexakis Octahedron given Insphere Radius?

Long Edge of Hexakis Octahedron given Insphere Radius evaluator uses Long Edge of Hexakis Octahedron = (2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)) to evaluate the Long Edge of Hexakis Octahedron, Long Edge of Hexakis Octahedron given Insphere Radius formula is defined as the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron, calculated using insphere radius of Hexakis Octahedron. Long Edge of Hexakis Octahedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Hexakis Octahedron given Insphere Radius using this online evaluator? To use this online evaluator for Long Edge of Hexakis Octahedron given Insphere Radius, enter Insphere Radius of Hexakis Octahedron (r_i) and hit the calculate button.

FAQs on Long Edge of Hexakis Octahedron given Insphere Radius

What is the formula to find Long Edge of Hexakis Octahedron given Insphere Radius?

The formula of Long Edge of Hexakis Octahedron given Insphere Radius is expressed as Long Edge of Hexakis Octahedron = (2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)). Here is an example- 19.26024 = (2*18)/(sqrt((402+(195*sqrt(2)))/194)).

How to calculate Long Edge of Hexakis Octahedron given Insphere Radius?

With Insphere Radius of Hexakis Octahedron (r_i) we can find Long Edge of Hexakis Octahedron given Insphere Radius using the formula - Long Edge of Hexakis Octahedron = (2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Long Edge of Hexakis Octahedron?

Here are the different ways to Calculate Long Edge of Hexakis Octahedron-

Long Edge of Hexakis Octahedron=(2/7)*(sqrt(60+(6*sqrt(2))))*Truncated Cuboctahedron Edge of Hexakis Octahedron
Long Edge of Hexakis Octahedron=(14/3)*(Medium Edge of Hexakis Octahedron/(1+(2*sqrt(2))))
Long Edge of Hexakis Octahedron=(14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))

Can the Long Edge of Hexakis Octahedron given Insphere Radius be negative?

No, the Long Edge of Hexakis Octahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Hexakis Octahedron given Insphere Radius?

Long Edge of Hexakis Octahedron given Insphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Long Edge of Hexakis Octahedron given Insphere Radius can be measured.

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