Insphere Radius of Triakis Tetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.ⓘ Midsphere Radius of Triakis Tetrahedron [r_m]

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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 given Midsphere Radius [r_i]

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Formula

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Insphere Radius of Triakis Tetrahedron given Midsphere Radius

Formula

`"r"_{"i"} = (3/sqrt(11))*"r"_{"m"}`

Example

`"5.427204m"=(3/sqrt(11))*"6m"`

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Insphere Radius of Triakis Tetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron
r_i = (3/sqrt(11))*r_m
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.
Midsphere Radius of Triakis Tetrahedron - (Measured in Meter) - Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Triakis Tetrahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = (3/sqrt(11))*r_m --> (3/sqrt(11))*6

Evaluating ... ...

r_i = 5.42720420239975

STEP 3: Convert Result to Output's Unit

5.42720420239975 Meter --> No Conversion Required

FINAL ANSWER

5.42720420239975 ≈ 5.427204 Meter <-- Insphere Radius of Triakis Tetrahedron

(Calculation completed in 00.004 seconds)

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< 7 Insphere Radius of Triakis Tetrahedron Calculators

Insphere Radius of Triakis Tetrahedron given Total Surface Area

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 Volume

Go Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))

Insphere Radius of Triakis Tetrahedron given Height

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

Insphere Radius of Triakis Tetrahedron

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

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

Insphere Radius of Triakis Tetrahedron given Midsphere Radius

Go Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron given Surface to Volume Ratio

Go Insphere Radius of Triakis Tetrahedron = 3/Surface to Volume Ratio of Triakis Tetrahedron

Insphere Radius of Triakis Tetrahedron given Midsphere Radius Formula

Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron
r_i = (3/sqrt(11))*r_m

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.

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

Insphere Radius of Triakis Tetrahedron given Midsphere Radius calculator uses Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron to calculate the Insphere Radius of Triakis Tetrahedron, The Insphere Radius of Triakis Tetrahedron given Midsphere Radius formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron. Insphere Radius of Triakis Tetrahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Triakis Tetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Insphere Radius of Triakis Tetrahedron given Midsphere Radius, enter Midsphere Radius of Triakis Tetrahedron (r_m) and hit the calculate button. Here is how the Insphere Radius of Triakis Tetrahedron given Midsphere Radius calculation can be explained with given input values -> 5.427204 = (3/sqrt(11))*6.

FAQ

What is Insphere Radius of Triakis Tetrahedron given Midsphere Radius?

The Insphere Radius of Triakis Tetrahedron given Midsphere Radius formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron and is represented as r_i = (3/sqrt(11))*r_m or Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron. Midsphere Radius of Triakis Tetrahedron is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron.

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

The Insphere Radius of Triakis Tetrahedron given Midsphere Radius formula is defined as a straight line connecting incenter and any point on insphere of Triakis Tetrahedron, calculated using midsphere radius of Triakis Tetrahedron is calculated using Insphere Radius of Triakis Tetrahedron = (3/sqrt(11))*Midsphere Radius of Triakis Tetrahedron. To calculate Insphere Radius of Triakis Tetrahedron given Midsphere Radius, you need Midsphere Radius of Triakis Tetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius of Triakis Tetrahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Insphere Radius of Triakis Tetrahedron = (3/4)*Tetrahedral Edge Length of Triakis Tetrahedron*(sqrt(2/11))
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
Insphere Radius of Triakis Tetrahedron = (3/4)*(sqrt(2/11))*(((20*Volume of Triakis Tetrahedron)/(3*sqrt(2)))^(1/3))
Insphere Radius of Triakis Tetrahedron = 3/Surface to Volume Ratio of Triakis Tetrahedron

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