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Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

GoInsphere Radius of Hexakis Icosahedron Formula

GoInsphere Radius of Hexakis Icosahedron given Medium Edge Formula

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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. Check FAQs

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

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

Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Example

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

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

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

14.9466 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{2}{5}) \cdot (4) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

14.9466m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{2}{5}) \cdot (4m) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

14.9466 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{2}{5}) \cdot (4) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

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Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 14.9465858243326m

LAST Step Rounding Answer

∴

r i = 14.9466m

Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula Elements

Variables

Functions

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

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

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 Hexakis Icosahedron

Go Insphere Radius of Hexakis Icosahedron

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

Go Insphere Radius of Hexakis Icosahedron given Medium Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Short Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Total Surface Area

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}})

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

Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5)))) to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

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

The formula of Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5)))). Here is an example- 14.94659 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(4)*(sqrt(15*(5-sqrt(5)))).

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

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

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

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

Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

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

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

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

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

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