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Insphere Radius of Triakis Octahedron given Midsphere Radius Formula

GoInsphere Radius of Triakis Octahedron Formula

GoInsphere Radius of Triakis Octahedron given Pyramidal Edge Length Formula

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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. Check FAQs

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

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

Insphere Radius of Triakis Octahedron given Midsphere Radius Example

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

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

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

4.7984 = 2 \cdot 5 \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

4.7984m = 2 \cdot 5m \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

4.7984 = 2 \cdot 5 \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

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Insphere Radius of Triakis Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

r i = 4.79841491130334m

LAST Step Rounding Answer

∴

r i = 4.7984m

Insphere Radius of Triakis Octahedron given Midsphere Radius Formula Elements

Variables

Functions

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

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

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 Insphere Radius of Triakis Octahedron

Go Insphere Radius of Triakis Octahedron

r i = l e(Octahedron) \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Pyramidal Edge Length

r i = \frac{l e(Pyramid)}{2 - \sqrt{2}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

Go Insphere Radius of Triakis Octahedron given Total Surface Area

r i = \sqrt{\frac{TSA}{6 \cdot \sqrt{23 - (16 \cdot \sqrt{2})}}} \cdot (\sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}})

Go Insphere Radius of Triakis Octahedron given Volume

r i = {(\frac{V}{2 - \sqrt{2}})}^{\frac{1}{3}} \cdot \sqrt{\frac{5 + (2 \cdot \sqrt{2})}{34}}

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

Insphere Radius of Triakis Octahedron given Midsphere Radius evaluator uses Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34) to evaluate the Insphere Radius of Triakis Octahedron, Insphere Radius of Triakis Octahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Triakis Octahedron in such a way that all the faces are touching the sphere, calculated using the midsphere radius of Triakis Octahedron. Insphere Radius of Triakis Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Triakis Octahedron given Midsphere Radius

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

The formula of Insphere Radius of Triakis Octahedron given Midsphere Radius is expressed as Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34). Here is an example- 4.798415 = 2*5*sqrt((5+(2*sqrt(2)))/34).

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

With Midsphere Radius of Triakis Octahedron (r_m) we can find Insphere Radius of Triakis Octahedron given Midsphere Radius using the formula - Insphere Radius of Triakis Octahedron = 2*Midsphere 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 Insphere Radius of Triakis Octahedron?

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

Insphere Radius of Triakis Octahedron=Octahedral Edge Length of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=Pyramidal Edge Length of Triakis Octahedron/(2-sqrt(2))*sqrt((5+(2*sqrt(2)))/34)
Insphere Radius of Triakis Octahedron=sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

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

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

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

Insphere Radius of Triakis Octahedron given Midsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Insphere Radius of Triakis Octahedron given Midsphere Radius can be measured.

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