Midsphere Radius of Truncated Tetrahedron Calculator

✖Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.ⓘ Edge Length of Truncated Tetrahedron [l_e]

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✖Midsphere Radius of Truncated Tetrahedron is the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere.ⓘ Midsphere Radius of Truncated Tetrahedron [r_m]

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Midsphere Radius of Truncated Tetrahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron
r_m = 3/4*sqrt(2)*l_e
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 Truncated Tetrahedron - (Measured in Meter) - Midsphere Radius of Truncated Tetrahedron is the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere.
Edge Length of Truncated Tetrahedron - (Measured in Meter) - Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.

STEP 1: Convert Input(s) to Base Unit

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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

r_m = 10.6066017177982

STEP 3: Convert Result to Output's Unit

10.6066017177982 Meter --> No Conversion Required

FINAL ANSWER

10.6066017177982 ≈ 10.6066 Meter <-- Midsphere Radius of Truncated Tetrahedron

(Calculation completed in 00.006 seconds)

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Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Radius of Truncated Tetrahedron Calculators

Circumsphere Radius of Truncated Tetrahedron

LaTeX Go Circumsphere Radius of Truncated Tetrahedron = Edge Length of Truncated Tetrahedron/4*sqrt(22)

Midsphere Radius of Truncated Tetrahedron

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

Midsphere Radius of Truncated Tetrahedron Formula

LaTeX Go

Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron
r_m = 3/4*sqrt(2)*l_e

What is a Truncated Tetrahedron?

A Truncated Tetrahedron is constructed by cutting off the vertices of a tetrahedron in a way, so that every edge has the same length. Its dual body is the triakis tetrahedron. A Truncated Tetrahedron has 8 faces which include 4 hexagonal faces and 4 triangular faces, 18 edges and 12 vertices.

How to Calculate Midsphere Radius of Truncated Tetrahedron?

Midsphere Radius of Truncated Tetrahedron calculator uses Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron to calculate the Midsphere Radius of Truncated Tetrahedron, Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere. Midsphere Radius of Truncated Tetrahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Truncated Tetrahedron using this online calculator? To use this online calculator for Midsphere Radius of Truncated Tetrahedron, enter Edge Length of Truncated Tetrahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Truncated Tetrahedron calculation can be explained with given input values -> 10.6066 = 3/4*sqrt(2)*10.

FAQ

What is Midsphere Radius of Truncated Tetrahedron?

Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere and is represented as r_m = 3/4*sqrt(2)*l_e or Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron. Edge Length of Truncated Tetrahedron is the length of any edge of the Truncated Tetrahedron.

How to calculate Midsphere Radius of Truncated Tetrahedron?

Midsphere Radius of Truncated Tetrahedron formula is defined as the radius of the sphere for which all the edges of the Truncated Tetrahedron become a tangent line to that sphere is calculated using Midsphere Radius of Truncated Tetrahedron = 3/4*sqrt(2)*Edge Length of Truncated Tetrahedron. To calculate Midsphere Radius of Truncated Tetrahedron, you need Edge Length of Truncated Tetrahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Truncated Tetrahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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