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Insphere Radius of Hexakis Icosahedron Formula

GoInsphere Radius of Hexakis Icosahedron given Medium Edge Formula

GoInsphere Radius of Hexakis Icosahedron given Short 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 l e(Long)

r_i - Insphere Radius of Hexakis Icosahedron?l_e(Long) - Long Edge of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron Example

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Here is how the Insphere Radius of Hexakis Icosahedron equation looks like with Values.

Here is how the Insphere Radius of Hexakis Icosahedron equation looks like with Units.

Here is how the Insphere Radius of Hexakis Icosahedron equation looks like.

14.5082 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot 10

14.5082m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot 10m

14.5082 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot 10

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Insphere Radius of Hexakis Icosahedron Solution

Follow our step by step solution on how to calculate Insphere Radius of Hexakis Icosahedron?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot 10m

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 14.5081724535461m

LAST Step Rounding Answer

∴

r i = 14.5082m

Insphere Radius of Hexakis Icosahedron 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

Long Edge of Hexakis Icosahedron

Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long 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 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 Truncated Icosidodecahedron Edge

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})})

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?

Insphere Radius of Hexakis Icosahedron evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron 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. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron

What is the formula to find Insphere Radius of Hexakis Icosahedron?

The formula of Insphere Radius of Hexakis Icosahedron is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron. Here is an example- 14.50817 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*10.

How to calculate Insphere Radius of Hexakis Icosahedron?

With Long Edge of Hexakis Icosahedron (l_e(Long)) we can find Insphere Radius of Hexakis Icosahedron using the formula - Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron. This formula also uses Square Root Function 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)*((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))))
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))))

Can the Insphere Radius of Hexakis Icosahedron be negative?

No, the Insphere Radius of Hexakis Icosahedron, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron 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 can be measured.

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