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Insphere Radius of Triakis Icosahedron given Midsphere Radius Formula

GoInsphere Radius of Triakis Icosahedron Formula

GoInsphere Radius of Triakis Icosahedron given Pyramidal Edge Length 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{4 \cdot r m}{1 + \sqrt{5}})

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

Insphere Radius of Triakis Icosahedron given Midsphere Radius Example

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

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

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

6.9001 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{4 \cdot 7}{1 + \sqrt{5}})

6.9001m = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{4 \cdot 7m}{1 + \sqrt{5}})

6.9001 = (\frac{\sqrt{\frac{10 \cdot (33 + (13 \cdot \sqrt{5}))}{61}}}{4}) \cdot (\frac{4 \cdot 7}{1 + \sqrt{5}})

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Insphere Radius of Triakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 6.90005343496911m

LAST Step Rounding Answer

∴

r i = 6.9001m

Insphere Radius of Triakis Icosahedron given Midsphere Radius 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

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

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 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}})

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

Insphere Radius of Triakis Icosahedron given Midsphere Radius evaluator uses Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))) to evaluate the Insphere Radius of Triakis Icosahedron, Insphere Radius of Triakis Icosahedron given Midsphere Radius 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 midsphere radius of Triakis Icosahedron. Insphere Radius of Triakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Icosahedron given Midsphere Radius

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

The formula of Insphere Radius of Triakis Icosahedron given Midsphere Radius is expressed as Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((4*Midsphere Radius of Triakis Icosahedron)/(1+sqrt(5))). Here is an example- 6.900053 = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((4*7)/(1+sqrt(5))).

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

With Midsphere Radius of Triakis Icosahedron (r_m) we can find Insphere Radius of Triakis Icosahedron given Midsphere Radius using the formula - Insphere Radius of Triakis Icosahedron = ((sqrt((10*(33+(13*sqrt(5))))/61))/4)*((4*Midsphere Radius of Triakis Icosahedron)/(1+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)*((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)))))))

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

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

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

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

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