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Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

GoMidsphere Radius of Hexakis Icosahedron given Short Edge Formula

GoMidsphere Radius of Hexakis Icosahedron given Medium Edge Formula

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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. Check FAQs

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

r_m - Midsphere Radius of Hexakis Icosahedron?l_{e(Truncated Icosidodecahedron)} - Truncated Edge of Hexakis Icosahedron?

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Example

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

15.0775 = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (4) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

15.0775m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (4m) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

15.0775 = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (4) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

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Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Solution

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

FIRST Step Consider the formula

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Next Step Substitute values of Variables

∴

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (4m) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Next Step Prepare to Evaluate

∴

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (4) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Next Step Evaluate

∴

r m = 15.0775085116869m

LAST Step Rounding Answer

∴

r m = 15.0775m

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula Elements

Variables

Functions

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

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 Midsphere Radius of Hexakis Icosahedron

Go Midsphere Radius of Hexakis Icosahedron given Short Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron given Medium Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron

r m = \frac{l e(Long)}{8} \cdot (5 + 3 \cdot \sqrt{5})

Go Midsphere Radius of Hexakis Icosahedron given Total Surface Area

r m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{TSA}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

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

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge evaluator uses Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5)))) to evaluate the Midsphere Radius of Hexakis Icosahedron, Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using truncated icosidodecahedron edge of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge using this online evaluator? To use this online evaluator for Midsphere 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 Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

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

The formula of Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge is expressed as Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5)))). Here is an example- 15.07751 = ((5+(3*sqrt(5)))/8)*(2/5)*(4)*(sqrt(15*(5-sqrt(5)))).

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

With Truncated Edge of Hexakis Icosahedron (l_{e(Truncated Icosidodecahedron)}) we can find Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge using the formula - Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(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 Midsphere Radius of Hexakis Icosahedron?

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

Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

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

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

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

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

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