Insphere Radius of Triakis Tetrahedron Calculator

✖Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.ⓘ Tetrahedral Edge Length of Triakis Tetrahedron [l_{e(Tetrahedron)}]

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✖Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.ⓘ Insphere Radius of Triakis Tetrahedron [r_i]

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Insphere Radius of Triakis Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))
r_i = (3/4)*l_{e(Tetrahedron)}*(sqrt(2/11))
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 Tetrahedron - (Measured in Meter) - Insphere Radius of Triakis Tetrahedron is defined as straight line connecting incenter and any point on insphere of Triakis Tetrahedron.
Tetrahedral Edge Length of Triakis Tetrahedron - (Measured in Meter) - Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Tetrahedral Edge Length of Triakis Tetrahedron: 17 Meter --> 17 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (3/4)*l_{e(Tetrahedron)}*(sqrt(2/11)) --> (3/4)*17*(sqrt(2/11))

Evaluating ... ...

r_i = 5.43661826706807

STEP 3: Convert Result to Output's Unit

5.43661826706807 Meter --> No Conversion Required

FINAL ANSWER

5.43661826706807 ≈ 5.436618 Meter <-- Insphere Radius of Triakis Tetrahedron

(Calculation completed in 00.007 seconds)

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< Insphere Radius of Triakis Tetrahedron Calculators

Insphere Radius of Triakis Tetrahedron given Total Surface Area

LaTeX Go Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))))

Insphere Radius of Triakis Tetrahedron given Height

LaTeX Go Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron

LaTeX Go Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))

Insphere Radius of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron Formula

LaTeX Go

Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))
r_i = (3/4)*l_{e(Tetrahedron)}*(sqrt(2/11))

What is Triakis Tetrahedron?

In geometry, a Triakis Tetrahedron (or kistetrahedron[1]) is a Catalan solid with 12 faces. Each Catalan solid is the dual of an Archimedean solid. The dual of the Triakis Tetrahedron is the truncated tetrahedron.

The Triakis Tetrahedron can be seen as a tetrahedron with a triangular pyramid added to each face; that is, it is the Kleetope of the tetrahedron. It is very similar to the net for the 5-cell, as the net for a tetrahedron is a triangle with other triangles added to each edge, the net for the 5-cell a tetrahedron with pyramids attached to each face.

How to Calculate Insphere Radius of Triakis Tetrahedron?

Insphere Radius of Triakis Tetrahedron calculator uses Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11)) to calculate the Insphere Radius of Triakis Tetrahedron, The Insphere Radius of Triakis Tetrahedron formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Triakis Tetrahedron using this online calculator? To use this online calculator for Insphere Radius of Triakis Tetrahedron, enter Tetrahedral Edge Length of Triakis Tetrahedron (l_{e(Tetrahedron)}) and hit the calculate button. Here is how the Insphere Radius of Triakis Tetrahedron calculation can be explained with given input values -> 5.436618 = (3/4)*17*(sqrt(2/11)).

FAQ

What is Insphere Radius of Triakis Tetrahedron?

The Insphere Radius of Triakis Tetrahedron formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron and is represented as r_i = (3/4)*l_{e(Tetrahedron)}*(sqrt(2/11)) or Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11)). Tetrahedral Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of tetrahedron of Triakis Tetrahedron.

How to calculate Insphere Radius of Triakis Tetrahedron?

The Insphere Radius of Triakis Tetrahedron formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron is calculated using Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11)). To calculate Insphere Radius of Triakis Tetrahedron, you need Tetrahedral Edge Length of Triakis Tetrahedron (l_{e(Tetrahedron)}). With our tool, you need to enter the respective value for Tetrahedral Edge Length of Triakis Tetrahedron 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 Tetrahedron?

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

Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(sqrt((5*Total Surface Area of Triakis Tetrahedron)/(3*sqrt(11))))
Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*(1/sqrt(6))*Height of Triakis Tetrahedron
Insphere Radius of Triakis Tetrahedron = (5/4)*(sqrt(2/11))*Pyramidal Edge Length of Triakis Tetrahedron

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