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Midsphere Radius of Triakis Octahedron given Insphere Radius Formula

GoMidsphere Radius of Triakis Octahedron given Surface to Volume Ratio Formula

GoMidsphere Radius of Triakis Octahedron given Volume 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{1}{2} \cdot \frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

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

Midsphere Radius of Triakis Octahedron given Insphere Radius Example

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

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

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

4.168 = \frac{1}{2} \cdot \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

4.168m = \frac{1}{2} \cdot \frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

4.168 = \frac{1}{2} \cdot \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

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Midsphere Radius of Triakis Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1}{2} \cdot \frac{4m}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

Next Step Prepare to Evaluate

∴

r m = \frac{1}{2} \cdot \frac{4}{\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}}

Next Step Evaluate

∴

r m = 4.1680430662399m

LAST Step Rounding Answer

∴

r m = 4.168m

Midsphere Radius of Triakis Octahedron given Insphere Radius Formula Elements

Variables

Functions

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

Insphere Radius of Triakis Octahedron

Insphere Radius of Triakis Octahedron is the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Triakis 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 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 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})}}}

Go Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length

r m = \frac{l e(Pyramid)}{2 \cdot (2 - \sqrt{2})}

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

Midsphere Radius of Triakis Octahedron given Insphere Radius evaluator uses Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)) to evaluate the Midsphere Radius of Triakis Octahedron, Midsphere Radius of Triakis Octahedron given Insphere Radius 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, calculated using insphere radius of the Triakis Octahedron. Midsphere Radius of Triakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Triakis Octahedron given Insphere Radius

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

The formula of Midsphere Radius of Triakis Octahedron given Insphere Radius is expressed as Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)). Here is an example- 4.168043 = 1/2*(4)/(sqrt((5+(2*sqrt(2)))/34)).

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

With Insphere Radius of Triakis Octahedron (r_i) we can find Midsphere Radius of Triakis Octahedron given Insphere Radius using the formula - Midsphere Radius of Triakis Octahedron = 1/2*(Insphere Radius of Triakis Octahedron)/(sqrt((5+(2*sqrt(2)))/34)). This formula also uses Square Root (sqrt) function(s).

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*((Volume of Triakis Octahedron)/(2-sqrt(2)))^(1/3)
Midsphere Radius of Triakis Octahedron=1/2*sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))

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

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

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

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

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