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Insphere Radius of Hexakis Icosahedron given Medium Edge Formula

GoInsphere Radius of Hexakis Icosahedron 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 (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

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

Insphere Radius of Hexakis Icosahedron given Medium Edge Example

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

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

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

15.3549 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot 9}{3 \cdot (4 + \sqrt{5})})

15.3549m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot 9m}{3 \cdot (4 + \sqrt{5})})

15.3549 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot 9}{3 \cdot (4 + \sqrt{5})})

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Insphere Radius of Hexakis Icosahedron given Medium Edge Solution

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

FIRST Step Consider the formula

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})})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot 9m}{3 \cdot (4 + \sqrt{5})})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot 9}{3 \cdot (4 + \sqrt{5})})

Next Step Evaluate

∴

r i = 15.3548579872593m

LAST Step Rounding Answer

∴

r i = 15.3549m

Insphere Radius of Hexakis Icosahedron given Medium 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

Medium Edge of Hexakis Icosahedron

Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.

Symbol: l_e(Medium)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Medium 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 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 given Medium Edge?

Insphere Radius of Hexakis Icosahedron given Medium Edge evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))) to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron given Medium 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 medium edge of Hexakis Icosahedron. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron given Medium Edge

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

The formula of Insphere Radius of Hexakis Icosahedron given Medium Edge is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))). Here is an example- 15.35486 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*9)/(3*(4+sqrt(5)))).

How to calculate Insphere Radius of Hexakis Icosahedron given Medium Edge?

With Medium Edge of Hexakis Icosahedron (l_e(Medium)) we can find Insphere Radius of Hexakis Icosahedron given Medium Edge using the formula - Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+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)*((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 given Medium Edge be negative?

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

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

Insphere Radius of Hexakis Icosahedron given Medium 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 Medium Edge can be measured.

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