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Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Formula

GoLong Edge of Pentagonal Icositetrahedron given Short Edge Formula

GoLong Edge of Pentagonal Icositetrahedron Formula

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Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron. Check FAQs

l e(Long) = \sqrt{([Tribonacci_C] + 1) \cdot (2 - [Tribonacci_C])} \cdot r m

l_e(Long) - Long Edge of Pentagonal Icositetrahedron?r_m - Midsphere Radius of Pentagonal Icositetrahedron?[Tribonacci_C] - Tribonacci constant?[Tribonacci_C] - Tribonacci constant?

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Example

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Here is how the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like with Values.

Here is how the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like with Units.

Here is how the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius equation looks like.

8.7816 = \sqrt{(1.8393 + 1) \cdot (2 - 1.8393)} \cdot 13

8.7816m = \sqrt{(1.8393 + 1) \cdot (2 - 1.8393)} \cdot 13m

8.7816 = \sqrt{(1.8393 + 1) \cdot (2 - 1.8393)} \cdot 13

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Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

FIRST Step Consider the formula

l e(Long) = \sqrt{([Tribonacci_C] + 1) \cdot (2 - [Tribonacci_C])} \cdot r m

Next Step Substitute values of Variables

∴

l e(Long) = \sqrt{([Tribonacci_C] + 1) \cdot (2 - [Tribonacci_C])} \cdot 13m

Next Step Substitute values of Constants

∴

l e(Long) = \sqrt{(1.8393 + 1) \cdot (2 - 1.8393)} \cdot 13m

Next Step Prepare to Evaluate

∴

l e(Long) = \sqrt{(1.8393 + 1) \cdot (2 - 1.8393)} \cdot 13

Next Step Evaluate

∴

l e(Long) = 8.78160331915756m

LAST Step Rounding Answer

∴

l e(Long) = 8.7816m

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Formula Elements

Variables

Constants

Functions

Long Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron is the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron

Midsphere Radius of Pentagonal Icositetrahedron is the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Pentagonal Icositetrahedron

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

Tribonacci constant

Tribonacci constant is the limit of the ratio of the nth term to the (n-1)th term of the Tribonacci sequence as n approaches infinity.

Symbol: [Tribonacci_C]

Value: 1.839286755214161

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 Pentagonal Icositetrahedron

Go Long Edge of Pentagonal Icositetrahedron given Short Edge

l e(Long) = \frac{[Tribonacci_C] + 1}{2} \cdot l e(Short)

Go Long Edge of Pentagonal Icositetrahedron

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot l e(Snub Cube)

Go Long Edge of Pentagonal Icositetrahedron given Total Surface Area

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Go Long Edge of Pentagonal Icositetrahedron given Volume

l e(Long) = \frac{\sqrt{[Tribonacci_C] + 1}}{2} \cdot (V^{\frac{1}{3}} \cdot {(\frac{2 \cdot ((20 \cdot [Tribonacci_C]) - 37)}{11 \cdot ([Tribonacci_C] - 4)})}^{\frac{1}{6}})

How to Evaluate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius evaluator uses Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron to evaluate the Long Edge of Pentagonal Icositetrahedron, Long Edge of Pentagonal Icositetrahedron given Midsphere Radius formula is defined as the length of longest edge which is the top edge of the axial-symmetric pentagonal faces of Pentagonal Icositetrahedron, calculated using midsphere radius of Pentagonal Icositetrahedron. Long Edge of Pentagonal Icositetrahedron is denoted by l_e(Long) symbol.

How to evaluate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Long Edge of Pentagonal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Pentagonal Icositetrahedron (r_m) and hit the calculate button.

FAQs on Long Edge of Pentagonal Icositetrahedron given Midsphere Radius

What is the formula to find Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

The formula of Long Edge of Pentagonal Icositetrahedron given Midsphere Radius is expressed as Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron. Here is an example- 8.781603 = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*13.

How to calculate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

With Midsphere Radius of Pentagonal Icositetrahedron (r_m) we can find Long Edge of Pentagonal Icositetrahedron given Midsphere Radius using the formula - Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron. This formula also uses Tribonacci constant, Tribonacci constant and Square Root Function function(s).

What are the other ways to Calculate Long Edge of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Long Edge of Pentagonal Icositetrahedron-

Long Edge of Pentagonal Icositetrahedron=([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron=sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron=sqrt([Tribonacci_C]+1)/2*(sqrt(Total Surface Area of Pentagonal Icositetrahedron/3)*(((4*[Tribonacci_C])-3)/(22*((5*[Tribonacci_C])-1)))^(1/4))

Can the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius be negative?

No, the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

Long Edge of Pentagonal Icositetrahedron given Midsphere 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 Pentagonal Icositetrahedron given Midsphere Radius can be measured.

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