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Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius Formula

GoIcosahedral Edge Length of Triakis Icosahedron given Pyramidal Edge Length Formula

GoIcosahedral Edge Length of Triakis Icosahedron given Total Surface Area Formula

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Icosahedral Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of icosahedron of Triakis Icosahedron. Check FAQs

l e(Icosahedron) = \frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

l_{e(Icosahedron)} - Icosahedral Edge Length of Triakis Icosahedron?r_i - Insphere Radius of Triakis Icosahedron?

Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius Example

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Here is how the Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius equation looks like with Values.

Here is how the Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius equation looks like with Units.

Here is how the Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius equation looks like.

7.5238 = \frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

7.5238m = \frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

7.5238 = \frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

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Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius?

FIRST Step Consider the formula

l e(Icosahedron) = \frac{4 \cdot r i}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

Next Step Substitute values of Variables

∴

l e(Icosahedron) = \frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

Next Step Prepare to Evaluate

∴

l e(Icosahedron) = \frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}

Next Step Evaluate

∴

l e(Icosahedron) = 7.52383377089362m

LAST Step Rounding Answer

∴

l e(Icosahedron) = 7.5238m

Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Icosahedral Edge Length of Triakis Icosahedron

Icosahedral Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of icosahedron of Triakis Icosahedron.

Symbol: l_{e(Icosahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Icosahedral Edge Length of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron

Insphere Radius of Triakis Icosahedron is the radius of the sphere that is contained by the Triakis Icosahedron 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 Triakis Icosahedron

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 Icosahedral Edge Length of Triakis Icosahedron

Go Icosahedral Edge Length of Triakis Icosahedron given Pyramidal Edge Length

l e(Icosahedron) = \frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}}

Go Icosahedral Edge Length of Triakis Icosahedron given Total Surface Area

l e(Icosahedron) = \sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}}

Go Icosahedral Edge Length of Triakis Icosahedron given Volume

l e(Icosahedron) = {(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Icosahedral Edge Length of Triakis Icosahedron given Midsphere Radius

l e(Icosahedron) = \frac{4 \cdot r m}{1 + \sqrt{5}}

How to Evaluate Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius?

Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius evaluator uses Icosahedral Edge Length of Triakis Icosahedron = (4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)) to evaluate the Icosahedral Edge Length of Triakis Icosahedron, Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius formula is defined as a straight line joining two adjacent vertices of icosahedron of Triakis Icosahedron, calculated using insphere radius of Triakis Icosahedron. Icosahedral Edge Length of Triakis Icosahedron is denoted by l_{e(Icosahedron)} symbol.

How to evaluate Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius using this online evaluator? To use this online evaluator for Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius, enter Insphere Radius of Triakis Icosahedron (r_i) and hit the calculate button.

FAQs on Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius

What is the formula to find Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius?

The formula of Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius is expressed as Icosahedral Edge Length of Triakis Icosahedron = (4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)). Here is an example- 7.523834 = (4*6)/(sqrt((10*(33+(13*sqrt(5))))/61)).

How to calculate Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius?

With Insphere Radius of Triakis Icosahedron (r_i) we can find Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius using the formula - Icosahedral Edge Length of Triakis Icosahedron = (4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Icosahedral Edge Length of Triakis Icosahedron?

Here are the different ways to Calculate Icosahedral Edge Length of Triakis Icosahedron-

Icosahedral Edge Length of Triakis Icosahedron=(22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))
Icosahedral Edge Length of Triakis Icosahedron=sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5))))))
Icosahedral Edge Length of Triakis Icosahedron=((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3)

Can the Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius be negative?

No, the Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius?

Icosahedral Edge Length of Triakis Icosahedron 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 Icosahedral Edge Length of Triakis Icosahedron given Insphere Radius can be measured.

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