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Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Formula

GoTruncated Icosidodecahedron Edge of Hexakis Icosahedron Formula

GoTruncated Icosidodecahedron Edge of Hexakis Icosahedron given Medium Edge Formula

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Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron. Check FAQs

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

l_{e(Truncated Icosidodecahedron)} - Truncated Edge of Hexakis Icosahedron?r_i - Insphere Radius of Hexakis Icosahedron?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Example

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Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius equation looks like with Values.

Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius equation looks like with Units.

Here is how the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius equation looks like.

3.7467 = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

3.7467m = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

3.7467 = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

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Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

FIRST Step Consider the formula

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot r i}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Substitute values of Variables

∴

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot 14m}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Prepare to Evaluate

∴

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{4 \cdot 14}{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}})

Next Step Evaluate

∴

l e(Truncated Icosidodecahedron) = 3.74667503724053m

LAST Step Rounding Answer

∴

l e(Truncated Icosidodecahedron) = 3.7467m

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius Formula Elements

Variables

Functions

Truncated Edge of Hexakis Icosahedron

Truncated Edge of Hexakis Icosahedron is the length of the edges of a Hexakis Icosahedron that is created by truncating the vertices of an Icosidodecahedron.

Symbol: l_{e(Truncated Icosidodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Truncated Edge of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis 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 Hexakis 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 Truncated Edge of Hexakis Icosahedron

Go Truncated Icosidodecahedron Edge of Hexakis Icosahedron

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot l e(Long)

Go Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Medium Edge

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Short Edge

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Total Surface Area

l e(Truncated Icosidodecahedron) = (\frac{5}{2 \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})}) \cdot (\sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}})

How to Evaluate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius evaluator uses Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))) to evaluate the Truncated Edge of Hexakis Icosahedron, Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius formula is defined as the length of the edges of a polyhedron that is created by truncating the vertices of an Icosidodecahedron, calculated using insphere radius of Hexakis Icosahedron. Truncated Edge of Hexakis Icosahedron is denoted by l_{e(Truncated Icosidodecahedron)} symbol.

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

FAQs on Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius

What is the formula to find Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

The formula of Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius is expressed as Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). Here is an example- 3.746675 = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*14)/(sqrt((15/241)*(275+(119*sqrt(5)))))).

How to calculate Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

With Insphere Radius of Hexakis Icosahedron (r_i) we can find Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius using the formula - Truncated Edge of Hexakis Icosahedron = (5/(2*(sqrt(15*(5-sqrt(5))))))*((4*Insphere Radius of Hexakis Icosahedron)/(sqrt((15/241)*(275+(119*sqrt(5)))))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Truncated Edge of Hexakis Icosahedron?

Here are the different ways to Calculate Truncated Edge of Hexakis Icosahedron-

Truncated Edge of Hexakis Icosahedron=(5/(2*(sqrt(15*(5-sqrt(5))))))*Long Edge of Hexakis Icosahedron
Truncated Edge of Hexakis Icosahedron=(5/(2*(sqrt(15*(5-sqrt(5))))))*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Truncated Edge of Hexakis Icosahedron=(5/(2*(sqrt(15*(5-sqrt(5))))))*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Can the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius be negative?

No, the Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius?

Truncated Icosidodecahedron Edge of Hexakis 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 Truncated Icosidodecahedron Edge of Hexakis Icosahedron given Insphere Radius can be measured.

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