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Midsphere Radius of Triakis Icosahedron given Insphere Radius Formula

GoMidsphere Radius of Triakis Icosahedron Formula

GoMidsphere Radius of Triakis Icosahedron given Pyramidal Edge Length Formula

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Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere. Check FAQs

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

r_m - Midsphere Radius of Triakis Icosahedron?r_i - Insphere Radius of Triakis Icosahedron?

Midsphere Radius of Triakis Icosahedron given Insphere Radius Example

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

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

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

6.0869 = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

6.0869m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

6.0869 = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

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Midsphere Radius of Triakis Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot 6m}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{4 \cdot 6}{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}})

Next Step Evaluate

∴

r m = 6.08690938350509m

LAST Step Rounding Answer

∴

r m = 6.0869m

Midsphere Radius of Triakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Triakis Icosahedron

Midsphere Radius of Triakis Icosahedron is the radius of the sphere for which all the edges of the Triakis Icosahedron 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 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 Midsphere Radius of Triakis Icosahedron

Go Midsphere Radius of Triakis Icosahedron

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

Go Midsphere Radius of Triakis Icosahedron given Pyramidal Edge Length

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\frac{22 \cdot l e(Pyramid)}{15 - \sqrt{5}})

Go Midsphere Radius of Triakis Icosahedron given Total Surface Area

r m = (\frac{1 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{11 \cdot TSA}{15 \cdot (\sqrt{109 - (30 \cdot \sqrt{5})})}})

Go Midsphere Radius of Triakis Icosahedron given Volume

r m = (\frac{1 + \sqrt{5}}{4}) \cdot ({(\frac{44 \cdot V}{5 \cdot (5 + (7 \cdot \sqrt{5}))})}^{\frac{1}{3}})

How to Evaluate Midsphere Radius of Triakis Icosahedron given Insphere Radius?

Midsphere Radius of Triakis Icosahedron given Insphere Radius evaluator uses Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))) to evaluate the Midsphere Radius of Triakis Icosahedron, Midsphere Radius of Triakis Icosahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Triakis Icosahedron become a tangent line on that sphere, calculated using insphere radius of Triakis Icosahedron. Midsphere Radius of Triakis Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Triakis Icosahedron given Insphere Radius

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

The formula of Midsphere Radius of Triakis Icosahedron given Insphere Radius is expressed as Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*((4*Insphere Radius of Triakis Icosahedron)/(sqrt((10*(33+(13*sqrt(5))))/61))). Here is an example- 6.086909 = ((1+sqrt(5))/4)*((4*6)/(sqrt((10*(33+(13*sqrt(5))))/61))).

How to calculate Midsphere Radius of Triakis Icosahedron given Insphere Radius?

With Insphere Radius of Triakis Icosahedron (r_i) we can find Midsphere Radius of Triakis Icosahedron given Insphere Radius using the formula - Midsphere Radius of Triakis Icosahedron = ((1+sqrt(5))/4)*((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 Midsphere Radius of Triakis Icosahedron?

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

Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*Icosahedral Edge Length of Triakis Icosahedron
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*((22*Pyramidal Edge Length of Triakis Icosahedron)/(15-sqrt(5)))
Midsphere Radius of Triakis Icosahedron=((1+sqrt(5))/4)*(sqrt((11*Total Surface Area of Triakis Icosahedron)/(15*(sqrt(109-(30*sqrt(5)))))))

Can the Midsphere Radius of Triakis Icosahedron given Insphere Radius be negative?

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

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

Midsphere Radius 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 Midsphere Radius of Triakis Icosahedron given Insphere Radius can be measured.

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