Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Calculator

✖The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.ⓘ Pyramidal Edge Length of Triakis Tetrahedron [l_e(Pyramid)]

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✖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 given Pyramidal Edge Length [r_m]

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Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3)
r_m = ((sqrt(2))/4)*((5*l_e(Pyramid))/3)
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

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.
Pyramidal Edge Length of Triakis Tetrahedron - (Measured in Meter) - The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

Pyramidal Edge Length of Triakis Tetrahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = ((sqrt(2))/4)*((5*l_e(Pyramid))/3) --> ((sqrt(2))/4)*((5*10)/3)

Evaluating ... ...

r_m = 5.8925565098879

STEP 3: Convert Result to Output's Unit

5.8925565098879 Meter --> No Conversion Required

FINAL ANSWER

5.8925565098879 ≈ 5.892557 Meter <-- Midsphere Radius of Triakis Tetrahedron

(Calculation completed in 00.118 seconds)

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< Midsphere Radius of Triakis Tetrahedron Calculators

Midsphere Radius of Triakis Tetrahedron given Total Surface Area

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

Midsphere Radius of Triakis Tetrahedron given Height

LaTeX Go Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Height of Triakis Tetrahedron)/(3*sqrt(6)))

Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length

LaTeX Go Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3)

Midsphere Radius of Triakis Tetrahedron

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

Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length Formula

LaTeX Go

Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3)
r_m = ((sqrt(2))/4)*((5*l_e(Pyramid))/3)

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 Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length calculator uses Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3) to calculate the Midsphere Radius of Triakis Tetrahedron, Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron. Midsphere Radius of Triakis Tetrahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length using this online calculator? To use this online calculator for Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length, enter Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)) and hit the calculate button. Here is how the Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length calculation can be explained with given input values -> 5.892557 = ((sqrt(2))/4)*((5*10)/3).

FAQ

What is Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length?

Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron and is represented as r_m = ((sqrt(2))/4)*((5*l_e(Pyramid))/3) or Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3). The Pyramidal Edge Length of Triakis Tetrahedron is the length of the line connecting any two adjacent vertices of pyramid of Triakis Tetrahedron.

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

Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length formula is defined as a straight line connecting center and any point on midsphere of Triakis Tetrahedron, calculated using pyramidal edge length of Triakis Tetrahedron is calculated using Midsphere Radius of Triakis Tetrahedron = ((sqrt(2))/4)*((5*Pyramidal Edge Length of Triakis Tetrahedron)/3). To calculate Midsphere Radius of Triakis Tetrahedron given Pyramidal Edge Length, you need Pyramidal Edge Length of Triakis Tetrahedron (l_e(Pyramid)). With our tool, you need to enter the respective value for Pyramidal 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 Midsphere Radius of Triakis Tetrahedron?

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

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

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