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Insphere Radius of Hexakis Icosahedron given Midsphere Radius 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{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})

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

Insphere Radius of Hexakis Icosahedron given Midsphere Radius Example

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

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

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

14.8698 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

14.8698m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})

14.8698 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

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Insphere Radius of Hexakis Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot r m}{5 + (3 \cdot \sqrt{5})})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot 15m}{5 + (3 \cdot \sqrt{5})})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{8 \cdot 15}{5 + (3 \cdot \sqrt{5})})

Next Step Evaluate

∴

r i = 14.8697503431159m

LAST Step Rounding Answer

∴

r i = 14.8698m

Insphere Radius of Hexakis Icosahedron given Midsphere Radius 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

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis 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 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 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})})

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

Insphere Radius of Hexakis Icosahedron given Midsphere Radius evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))) to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron given Midsphere Radius 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 midsphere radius of Hexakis Icosahedron. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron given Midsphere Radius

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

The formula of Insphere Radius of Hexakis Icosahedron given Midsphere Radius is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*sqrt(5)))). Here is an example- 14.86975 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((8*15)/(5+(3*sqrt(5)))).

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

With Midsphere Radius of Hexakis Icosahedron (r_m) we can find Insphere Radius of Hexakis Icosahedron given Midsphere Radius using the formula - Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((8*Midsphere Radius of Hexakis Icosahedron)/(5+(3*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 Midsphere Radius be negative?

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

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

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

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