Insphere Radius of Triakis Octahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Triakis Octahedron [r_m]

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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.ⓘ Insphere Radius of Triakis Octahedron given Midsphere Radius [r_i]

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Insphere Radius of Triakis Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
r_i = 2*r_m*sqrt((5+(2*sqrt(2)))/34)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Insphere Radius of Triakis Octahedron - (Measured in Meter) - 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.
Midsphere Radius of Triakis Octahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Octahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = 2*r_m*sqrt((5+(2*sqrt(2)))/34) --> 2*5*sqrt((5+(2*sqrt(2)))/34)

Evaluating ... ...

r_i = 4.79841491130334

STEP 3: Convert Result to Output's Unit

4.79841491130334 Meter --> No Conversion Required

FINAL ANSWER

4.79841491130334 ≈ 4.798415 Meter <-- Insphere Radius of Triakis Octahedron

(Calculation completed in 00.004 seconds)

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< Insphere Radius of Triakis Octahedron Calculators

Insphere Radius of Triakis Octahedron given Total Surface Area

LaTeX Go Insphere Radius of Triakis Octahedron = sqrt(Total Surface Area of Triakis Octahedron/(6*sqrt(23-(16*sqrt(2)))))*(sqrt((5+(2*sqrt(2)))/34))

Insphere Radius of Triakis Octahedron given Pyramidal Edge Length

LaTeX Go 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 given Volume

LaTeX Go Insphere Radius of Triakis Octahedron = (Volume of Triakis Octahedron/(2-sqrt(2)))^(1/3)*sqrt((5+(2*sqrt(2)))/34)

Insphere Radius of Triakis Octahedron

LaTeX Go Insphere Radius of Triakis Octahedron = Octahedral Edge Length of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)

Insphere Radius of Triakis Octahedron given Midsphere Radius Formula

LaTeX Go

Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34)
r_i = 2*r_m*sqrt((5+(2*sqrt(2)))/34)

What is Triakis Octahedron?

In geometry, a Triakis Octahedron (or trigonal trisoctahedron or kisoctahedron) is an Archimedean dual solid, or a Catalan solid. Its dual is the truncated cube. It is a regular octahedron with matching regular triangular pyramids attached to its faces. It has eight vertices with three edges and six vertices with eight edges. Triakis Octahedron has 24 faces, 36 edges and 14 vertices.

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

Insphere Radius of Triakis Octahedron given Midsphere Radius calculator uses Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34) to calculate 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 calculate Insphere Radius of Triakis Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Insphere Radius of Triakis Octahedron given Midsphere Radius, enter Midsphere Radius of Triakis Octahedron (r_m) and hit the calculate button. Here is how the Insphere Radius of Triakis Octahedron given Midsphere Radius calculation can be explained with given input values -> 4.798415 = 2*5*sqrt((5+(2*sqrt(2)))/34).

FAQ

What is Insphere Radius of Triakis Octahedron given Midsphere Radius?

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 and is represented as r_i = 2*r_m*sqrt((5+(2*sqrt(2)))/34) or Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34). 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.

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

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 is calculated using Insphere Radius of Triakis Octahedron = 2*Midsphere Radius of Triakis Octahedron*sqrt((5+(2*sqrt(2)))/34). To calculate Insphere Radius of Triakis Octahedron given Midsphere Radius, you need Midsphere Radius of Triakis Octahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Triakis Octahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Insphere Radius of Triakis Octahedron?

In this formula, Insphere Radius of Triakis Octahedron uses Midsphere Radius of Triakis Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

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