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Midsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula

GoMidsphere Radius of Pentagonal Icositetrahedron given Short Edge Formula

GoMidsphere Radius of Pentagonal Icositetrahedron Formula

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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. Check FAQs

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

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

Midsphere Radius of Pentagonal Icositetrahedron given Long Edge Example

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

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

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

11.8429 = \frac{1}{\sqrt{2 - 1.8393}} \cdot (\frac{8}{\sqrt{1.8393 + 1}})

11.8429m = \frac{1}{\sqrt{2 - 1.8393}} \cdot (\frac{8m}{\sqrt{1.8393 + 1}})

11.8429 = \frac{1}{\sqrt{2 - 1.8393}} \cdot (\frac{8}{\sqrt{1.8393 + 1}})

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Midsphere Radius of Pentagonal Icositetrahedron given Long Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1}{\sqrt{2 - [Tribonacci_C]}} \cdot (\frac{8m}{\sqrt{[Tribonacci_C] + 1}})

Next Step Substitute values of Constants

∴

r m = \frac{1}{\sqrt{2 - 1.8393}} \cdot (\frac{8m}{\sqrt{1.8393 + 1}})

Next Step Prepare to Evaluate

∴

r m = \frac{1}{\sqrt{2 - 1.8393}} \cdot (\frac{8}{\sqrt{1.8393 + 1}})

Next Step Evaluate

∴

r m = 11.8429398619177m

LAST Step Rounding Answer

∴

r m = 11.8429m

Midsphere Radius of Pentagonal Icositetrahedron given Long Edge Formula Elements

Variables

Constants

Functions

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

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

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 Midsphere Radius of Pentagonal Icositetrahedron

Go Midsphere Radius of Pentagonal Icositetrahedron given Short Edge

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

Go Midsphere Radius of Pentagonal Icositetrahedron

r m = \frac{l e(Snub Cube)}{2 \cdot \sqrt{2 - [Tribonacci_C]}}

Go Midsphere Radius of Pentagonal Icositetrahedron given Total Surface Area

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \cdot (\sqrt{\frac{TSA}{3}} \cdot {(\frac{(4 \cdot [Tribonacci_C]) - 3}{22 \cdot ((5 \cdot [Tribonacci_C]) - 1)})}^{\frac{1}{4}})

Go Midsphere Radius of Pentagonal Icositetrahedron given Volume

r m = \frac{1}{2 \cdot \sqrt{2 - [Tribonacci_C]}} \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 Midsphere Radius of Pentagonal Icositetrahedron given Long Edge?

Midsphere Radius of Pentagonal Icositetrahedron given Long Edge evaluator uses Midsphere Radius of Pentagonal Icositetrahedron = 1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1)) to evaluate the Midsphere Radius of Pentagonal Icositetrahedron, Midsphere Radius of Pentagonal Icositetrahedron given Long Edge formula is defined as the radius of the sphere for which all the edges of the Pentagonal Icositetrahedron become a tangent line on that sphere, calculated using the long edge of Pentagonal Icositetrahedron. Midsphere Radius of Pentagonal Icositetrahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Pentagonal Icositetrahedron given Long Edge

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

The formula of Midsphere Radius of Pentagonal Icositetrahedron given Long Edge is expressed as Midsphere Radius of Pentagonal Icositetrahedron = 1/sqrt(2-[Tribonacci_C])*((Long Edge of Pentagonal Icositetrahedron)/sqrt([Tribonacci_C]+1)). Here is an example- 11.84294 = 1/sqrt(2-[Tribonacci_C])*((8)/sqrt([Tribonacci_C]+1)).

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

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

What are the other ways to Calculate Midsphere Radius of Pentagonal Icositetrahedron?

Here are the different ways to Calculate Midsphere Radius of Pentagonal Icositetrahedron-

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

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

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

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

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

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