Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Pentagonal Icositetrahedron [r_m]

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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.ⓘ Long Edge of Pentagonal Icositetrahedron given Midsphere Radius [l_e(Long)]

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Formula

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Long Edge of Pentagonal Icositetrahedron given Midsphere Radius

Formula

`"l"_{"e(Long)"} = sqrt(("[Tribonacci_C]"+1)*(2-"[Tribonacci_C]"))*"r"_{"m"}`

Example

`"8.781603m"=sqrt(("[Tribonacci_C]"+1)*(2-"[Tribonacci_C]"))*"13m"`

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Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron
l_e(Long) = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*r_m
This formula uses 1 Constants, 1 Functions, 2 Variables

Constants Used

[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161

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 Edge of Pentagonal Icositetrahedron - (Measured in Meter) - 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.
Midsphere Radius of Pentagonal Icositetrahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Pentagonal Icositetrahedron: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e(Long) = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*r_m --> sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*13

Evaluating ... ...

l_e(Long) = 8.78160331915756

STEP 3: Convert Result to Output's Unit

8.78160331915756 Meter --> No Conversion Required

FINAL ANSWER

8.78160331915756 ≈ 8.781603 Meter <-- Long Edge of Pentagonal Icositetrahedron

(Calculation completed in 00.004 seconds)

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< 7 Long Edge of Pentagonal Icositetrahedron Calculators

Long Edge of Pentagonal Icositetrahedron given Surface to Volume Ratio

Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))

Long Edge of Pentagonal Icositetrahedron given Total Surface Area

Go 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))

Long Edge of Pentagonal Icositetrahedron given Volume

Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))

Long Edge of Pentagonal Icositetrahedron given Insphere Radius

Go Long Edge of Pentagonal Icositetrahedron = sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])*([Tribonacci_C]+1))*Insphere Radius of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius

Go Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron

Go Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*Snub Cube Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Short Edge

Go Long Edge of Pentagonal Icositetrahedron = ([Tribonacci_C]+1)/2*Short Edge of Pentagonal Icositetrahedron

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius Formula

Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron
l_e(Long) = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*r_m

What is Pentagonal Icositetrahedron?

The Pentagonal Icositetrahedron can be constructed from a snub cube. Its faces are axial-symmetric pentagons with the top angle acos(2-t)=80.7517°. Of this polyhedron, there are two forms that are mirror images of each other, but otherwise identical. It has 24 faces, 60 edges, and 38 vertices.

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

Long Edge of Pentagonal Icositetrahedron given Midsphere Radius calculator uses Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron to calculate 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 calculate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Long Edge of Pentagonal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Pentagonal Icositetrahedron (r_m) and hit the calculate button. Here is how the Long Edge of Pentagonal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 8.781603 = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*13.

FAQ

What is Long Edge of Pentagonal Icositetrahedron given Midsphere Radius?

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 and is represented as l_e(Long) = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*r_m or Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*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.

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

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 is calculated using Long Edge of Pentagonal Icositetrahedron = sqrt(([Tribonacci_C]+1)*(2-[Tribonacci_C]))*Midsphere Radius of Pentagonal Icositetrahedron. To calculate Long Edge of Pentagonal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Pentagonal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Pentagonal Icositetrahedron 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 Edge of Pentagonal Icositetrahedron?

In this formula, Long Edge of Pentagonal Icositetrahedron uses Midsphere Radius of Pentagonal Icositetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

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))
Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*(Volume of Pentagonal Icositetrahedron^(1/3)*((2*((20*[Tribonacci_C])-37))/(11*([Tribonacci_C]-4)))^(1/6))
Long Edge of Pentagonal Icositetrahedron = sqrt((2-[Tribonacci_C])*(3-[Tribonacci_C])*([Tribonacci_C]+1))*Insphere Radius of Pentagonal Icositetrahedron
Long Edge of Pentagonal Icositetrahedron = sqrt([Tribonacci_C]+1)/2*((3*sqrt((22*(5*[Tribonacci_C]-1))/((4*[Tribonacci_C])-3)))/(SA:V of Pentagonal Icositetrahedron*sqrt((11*([Tribonacci_C]-4))/(2*((20*[Tribonacci_C])-37)))))

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