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Insphere Radius of Triakis Icosahedron Formula

GoInsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

GoInsphere Radius of Triakis Icosahedron given Total Surface Area Formula

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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. Check FAQs

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

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

Insphere Radius of Triakis Icosahedron Example

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Here is how the Insphere Radius of Triakis Icosahedron equation looks like with Values.

Here is how the Insphere Radius of Triakis Icosahedron equation looks like with Units.

Here is how the Insphere Radius of Triakis Icosahedron equation looks like.

6.3797 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot 8

6.3797m = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot 8m

6.3797 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot 8

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Insphere Radius of Triakis Icosahedron Solution

Follow our step by step solution on how to calculate Insphere Radius of Triakis Icosahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot 8m

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot 8

Next Step Evaluate

∴

r i = 6.37972627541171m

LAST Step Rounding Answer

∴

r i = 6.3797m

Insphere Radius of Triakis Icosahedron Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Triakis Icosahedron

Go Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Insphere Radius of Triakis Icosahedron given Total Surface Area

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Go Insphere Radius of Triakis Icosahedron given Volume

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Insphere Radius of Triakis Icosahedron given Midsphere Radius

r i = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{4 \cdot r m}{1 + \sqrt{5}})

How to Evaluate Insphere Radius of Triakis Icosahedron?

Insphere Radius of Triakis Icosahedron evaluator uses Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*Icosahedral Edge Length of Triakis Icosahedron to evaluate the Insphere Radius of Triakis Icosahedron, Insphere Radius of Triakis Icosahedron formula is defined as the radius of the sphere that is contained by the Triakis Icosahedron in such a way that all the faces just touching the sphere. Insphere Radius of Triakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Icosahedron

What is the formula to find Insphere Radius of Triakis Icosahedron?

The formula of Insphere Radius of Triakis Icosahedron is expressed as Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*Icosahedral Edge Length of Triakis Icosahedron. Here is an example- 6.379726 = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*8.

How to calculate Insphere Radius of Triakis Icosahedron?

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

What are the other ways to Calculate Insphere Radius of Triakis Icosahedron?

Here are the different ways to Calculate Insphere Radius of Triakis Icosahedron-

Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))
Insphere Radius of Triakis Icosahedron=((sqrt((10*(33+(13*sqrt(5))))/61))/4)*(((44*Volume of Triakis Icosahedron)/(5*(5+(7*sqrt(5)))))^(1/3))

Can the Insphere Radius of Triakis Icosahedron be negative?

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

Which unit is used to measure Insphere Radius of Triakis Icosahedron?

Insphere Radius of Triakis Icosahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Triakis Icosahedron can be measured.

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