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Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

GoInsphere Radius of Triakis Icosahedron 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 (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

r_i - Insphere Radius of Triakis Icosahedron?l_e(Pyramid) - Pyramidal Edge Length of Triakis Icosahedron?

Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length Example

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

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

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

6.8726 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot 5}{15 - \sqrt{5}})

6.8726m = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot 5m}{15 - \sqrt{5}})

6.8726 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{22 \cdot 5}{15 - \sqrt{5}})

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Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 6.87258723505236m

LAST Step Rounding Answer

∴

r i = 6.8726m

Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Icosahedron

Pyramidal Edge Length of Triakis Icosahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Icosahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal 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

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

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 given Pyramidal Edge Length?

Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length evaluator uses Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))) to evaluate the Insphere Radius of Triakis Icosahedron, Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length 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, calculated using pyramidal edge length of Triakis Icosahedron. Insphere Radius of Triakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length

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

The formula of Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length is expressed as Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))). Here is an example- 6.872587 = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*5)/(15-sqrt(5))).

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

With Pyramidal Edge Length of Triakis Icosahedron (l_e(Pyramid)) we can find Insphere Radius of Triakis Icosahedron given Pyramidal Edge Length using the formula - Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5))). 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)*Icosahedral Edge Length of Triakis Icosahedron
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 given Pyramidal Edge Length be negative?

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

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

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

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