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Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length 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(Pyramid)}{2 \cdot (2 - \sqrt{2})}

r_m - Midsphere Radius of Triakis Octahedron?l_e(Pyramid) - Pyramidal Edge Length of Triakis Octahedron?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length Example

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

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

Here is how the Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length equation looks like.

5.1213 = \frac{6}{2 \cdot (2 - \sqrt{2})}

5.1213m = \frac{6m}{2 \cdot (2 - \sqrt{2})}

5.1213 = \frac{6}{2 \cdot (2 - \sqrt{2})}

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Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{6m}{2 \cdot (2 - \sqrt{2})}

Next Step Prepare to Evaluate

∴

r m = \frac{6}{2 \cdot (2 - \sqrt{2})}

Next Step Evaluate

∴

r m = 5.12132034355964m

LAST Step Rounding Answer

∴

r m = 5.1213m

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length 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

Pyramidal Edge Length of Triakis Octahedron

Pyramidal Edge Length of Triakis Octahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Octahedron.

Symbol: l_e(Pyramid)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Edge Length 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 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 given Pyramidal Edge Length?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length evaluator uses Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))) to evaluate the Midsphere Radius of Triakis Octahedron, Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length 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 the pyramidal edge length of Triakis Octahedron. Midsphere Radius of Triakis Octahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length using this online evaluator? To use this online evaluator for Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) and hit the calculate button.

FAQs on Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length

What is the formula to find Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

The formula of Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length is expressed as Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))). Here is an example- 5.12132 = 6/(2*(2-sqrt(2))).

How to calculate Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

With Pyramidal Edge Length of Triakis Octahedron (l_e(Pyramid)) we can find Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length using the formula - Midsphere Radius of Triakis Octahedron = Pyramidal Edge Length of Triakis Octahedron/(2*(2-sqrt(2))). 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*(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 given Pyramidal Edge Length be negative?

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

Which unit is used to measure Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Octahedron given Pyramidal Edge Length 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 Pyramidal Edge Length can be measured.

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