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Midsphere Radius of Triakis Octahedron Formula

GoMidsphere Radius of Triakis Octahedron given Surface to Volume Ratio Formula

GoMidsphere Radius of Triakis Octahedron given Insphere Radius Formula

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

r m = \frac{l e(Octahedron)}{2}

r_m - Midsphere Radius of Triakis Octahedron?l_{e(Octahedron)} - Octahedral Edge Length of Triakis Octahedron?

Midsphere Radius of Triakis Octahedron Example

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Here is how the Midsphere Radius of Triakis Octahedron equation looks like with Values.

Here is how the Midsphere Radius of Triakis Octahedron equation looks like with Units.

Here is how the Midsphere Radius of Triakis Octahedron equation looks like.

5 = \frac{10}{2}

5m = \frac{10m}{2}

5 = \frac{10}{2}

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Midsphere Radius of Triakis Octahedron Solution

Follow our step by step solution on how to calculate Midsphere Radius of Triakis Octahedron?

FIRST Step Consider the formula

r m = \frac{l e(Octahedron)}{2}

Next Step Substitute values of Variables

∴

r m = \frac{10m}{2}

Next Step Prepare to Evaluate

∴

r m = \frac{10}{2}

LAST Step Evaluate

∴

r m = 5m

Midsphere Radius of Triakis Octahedron Formula Elements

Variables

Midsphere Radius of Triakis Octahedron

Midsphere Radius of Triakis Octahedron is the radius of the sphere for which all the edges of the Triakis 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 Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron

Octahedral Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of the octahedron of Triakis Octahedron.

Symbol: l_{e(Octahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Octahedral Edge Length of Triakis Octahedron

Other Formulas to find Midsphere Radius of Triakis Octahedron

Go Midsphere Radius of Triakis Octahedron given Surface to Volume Ratio

r m = \frac{3 \cdot (\sqrt{23 - (16 \cdot \sqrt{2})})}{(2 - \sqrt{2}) \cdot R A/V}

Go Midsphere Radius of Triakis Octahedron given Insphere Radius

r m = \frac{1}{2} \cdot \frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

Go Midsphere Radius of Triakis Octahedron given Volume

r m = \frac{1}{2} \cdot {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}}

Go Midsphere Radius of Triakis Octahedron given Total Surface Area

r m = \frac{1}{2} \cdot \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}}

How to Evaluate Midsphere Radius of Triakis Octahedron?

Midsphere Radius of Triakis Octahedron evaluator uses Midsphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron/2 to evaluate the Midsphere Radius of Triakis Octahedron, Midsphere Radius of Triakis Octahedron formula is defined as the radius of the sphere for which all the edges of the Triakis Octahedron become a tangent line on that sphere. Midsphere Radius of Triakis Octahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Triakis Octahedron using this online evaluator? To use this online evaluator for Midsphere Radius of Triakis Octahedron, enter Octahedral Edge Length of Triakis Octahedron (l_{e(Octahedron)}) and hit the calculate button.

FAQs on Midsphere Radius of Triakis Octahedron

What is the formula to find Midsphere Radius of Triakis Octahedron?

The formula of Midsphere Radius of Triakis Octahedron is expressed as Midsphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron/2. Here is an example- 5 = 10/2.

How to calculate Midsphere Radius of Triakis Octahedron?

With Octahedral Edge Length of Triakis Octahedron (l_{e(Octahedron)}) we can find Midsphere Radius of Triakis Octahedron using the formula - Midsphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron/2.

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

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

Midsphere Radius of Triakis Octahedron=(3*(sqrt(23-(16*sqrt(2)))))/((2-sqrt(2))*Surface to Volume Ratio of Triakis Octahedron)
Midsphere Radius of Triakis Octahedron=1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34))
Midsphere Radius of Triakis Octahedron=1/2*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)

Can the Midsphere Radius of Triakis Octahedron be negative?

No, the Midsphere Radius of Triakis Octahedron, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Triakis Octahedron?

Midsphere Radius of Triakis Octahedron 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 Triakis Octahedron can be measured.

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