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Midsphere Radius of Hexakis Octahedron given Insphere Radius Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Medium Edge Formula

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Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere. Check FAQs

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

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

Midsphere Radius of Hexakis Octahedron given Insphere Radius Example

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

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

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

18.4341 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

18.4341m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

18.4341 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

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Midsphere Radius of Hexakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot r i}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot 18m}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2 \cdot 18}{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}})

Next Step Evaluate

∴

r m = 18.4341051807764m

LAST Step Rounding Answer

∴

r m = 18.4341m

Midsphere Radius of Hexakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Octahedron

Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron 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 Octahedron

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron 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 Octahedron

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 Octahedron

Go Midsphere Radius of Hexakis Octahedron

r m = (\frac{l e(Long)}{4}) \cdot (1 + (2 \cdot \sqrt{2}))

Go Midsphere Radius of Hexakis Octahedron given Medium Edge

r m = \frac{7 \cdot l e(Medium)}{6}

Go Midsphere Radius of Hexakis Octahedron given Short Edge

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Midsphere Radius of Hexakis Octahedron given Total Surface Area

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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

Midsphere Radius of Hexakis Octahedron given Insphere Radius evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194))) to evaluate the Midsphere Radius of Hexakis Octahedron, Midsphere Radius of Hexakis Octahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere, calculated using the insphere radius of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Octahedron given Insphere Radius

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

The formula of Midsphere Radius of Hexakis Octahedron given Insphere Radius is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194))). Here is an example- 18.43411 = ((1+(2*sqrt(2)))/4)*((2*18)/(sqrt((402+(195*sqrt(2)))/194))).

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

With Insphere Radius of Hexakis Octahedron (r_i) we can find Midsphere Radius of Hexakis Octahedron given Insphere Radius using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((2*Insphere Radius of Hexakis Octahedron)/(sqrt((402+(195*sqrt(2)))/194))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Hexakis Octahedron?

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

Midsphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/4)*(1+(2*sqrt(2)))
Midsphere Radius of Hexakis Octahedron=(7*Medium Edge of Hexakis Octahedron)/6
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

Can the Midsphere Radius of Hexakis Octahedron given Insphere Radius be negative?

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

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

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

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