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Midsphere Radius of Hexakis Icosahedron Formula

GoMidsphere Radius of Hexakis Icosahedron given Short Edge Formula

GoMidsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron 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{l e(Long)}{8} \cdot (5 + 3 \cdot \sqrt{5})

r_m - Midsphere Radius of Hexakis Icosahedron?l_e(Long) - Long Edge of Hexakis Icosahedron?

Midsphere Radius of Hexakis Icosahedron Example

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

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

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

14.6353 = \frac{10}{8} \cdot (5 + 3 \cdot \sqrt{5})

14.6353m = \frac{10m}{8} \cdot (5 + 3 \cdot \sqrt{5})

14.6353 = \frac{10}{8} \cdot (5 + 3 \cdot \sqrt{5})

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Midsphere Radius of Hexakis Icosahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{10m}{8} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Prepare to Evaluate

∴

r m = \frac{10}{8} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Evaluate

∴

r m = 14.6352549156242m

LAST Step Rounding Answer

∴

r m = 14.6353m

Midsphere Radius of Hexakis Icosahedron 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

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 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 Truncated Icosidodecahedron Edge

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})})

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 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?

Midsphere Radius of Hexakis Icosahedron evaluator uses Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5)) to evaluate the Midsphere Radius of Hexakis Icosahedron, The Midsphere Radius of Hexakis Icosahedron 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. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Icosahedron

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

The formula of Midsphere Radius of Hexakis Icosahedron is expressed as Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5)). Here is an example- 14.63525 = 10/8*(5+3*sqrt(5)).

How to calculate Midsphere Radius of Hexakis Icosahedron?

With Long Edge of Hexakis Icosahedron (l_e(Long)) we can find Midsphere Radius of Hexakis Icosahedron using the formula - Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*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)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Can the Midsphere Radius of Hexakis Icosahedron be negative?

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

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

Midsphere 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 Midsphere Radius of Hexakis Icosahedron can be measured.

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