STEP 0: Pre-Calculation Summary
Formula Used
rm = sqrt(1/3)*rc
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 Tetrahedron - (Measured in Meter) - Midsphere Radius of Tetrahedron is the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere.
Circumsphere Radius of Tetrahedron - (Measured in Meter) - Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Tetrahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(1/3)*rc --> sqrt(1/3)*6
Evaluating ... ...
rm = 3.46410161513775
STEP 3: Convert Result to Output's Unit
3.46410161513775 Meter --> No Conversion Required
3.46410161513775 3.464102 Meter <-- Midsphere Radius of Tetrahedron
(Calculation completed in 00.004 seconds)
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## Credits

Created by Divanshi Jain
Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 8 Midsphere Radius of Tetrahedron Calculators

Midsphere Radius of Tetrahedron given Total Surface Area
Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Face Area
Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Volume
Midsphere Radius of Tetrahedron = (6*sqrt(2)*Volume of Tetrahedron)^(1/3)/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Height
Midsphere Radius of Tetrahedron = sqrt(3/2)*Height of Tetrahedron/(2*sqrt(2))
Midsphere Radius of Tetrahedron given Surface to Volume Ratio
Midsphere Radius of Tetrahedron = (3*sqrt(3))/Surface to Volume Ratio of Tetrahedron
Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(2))

rm = sqrt(1/3)*rc

## What is a Tetrahedron?

A Tetrahedron is a symmetric and closed three dimensional shape with 4 identical equilateral triangular faces. It is a Platonic solid, which has 4 faces, 4 vertices and 6 edges. At each vertex, three equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

## What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

Midsphere Radius of Tetrahedron given Circumsphere Radius calculator uses Midsphere Radius of Tetrahedron = sqrt(1/3)*Circumsphere Radius of Tetrahedron to calculate the Midsphere Radius of Tetrahedron, The Midsphere Radius of Tetrahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using circumsphere radius of Tetrahedron. Midsphere Radius of Tetrahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Tetrahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Tetrahedron given Circumsphere Radius, enter Circumsphere Radius of Tetrahedron (rc) and hit the calculate button. Here is how the Midsphere Radius of Tetrahedron given Circumsphere Radius calculation can be explained with given input values -> 3.464102 = sqrt(1/3)*6.

### FAQ

The Midsphere Radius of Tetrahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using circumsphere radius of Tetrahedron and is represented as rm = sqrt(1/3)*rc or Midsphere Radius of Tetrahedron = sqrt(1/3)*Circumsphere Radius of Tetrahedron. Circumsphere Radius of Tetrahedron is the radius of the sphere that contains the Tetrahedron in such a way that all the vertices are lying on the sphere.
The Midsphere Radius of Tetrahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Tetrahedron become a tangent line to that sphere, calculated using circumsphere radius of Tetrahedron is calculated using Midsphere Radius of Tetrahedron = sqrt(1/3)*Circumsphere Radius of Tetrahedron. To calculate Midsphere Radius of Tetrahedron given Circumsphere Radius, you need Circumsphere Radius of Tetrahedron (rc). With our tool, you need to enter the respective value for Circumsphere Radius of 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 Tetrahedron?
In this formula, Midsphere Radius of Tetrahedron uses Circumsphere Radius of Tetrahedron. We can use 7 other way(s) to calculate the same, which is/are as follows -
• Midsphere Radius of Tetrahedron = Edge Length of Tetrahedron/(2*sqrt(2))
• Midsphere Radius of Tetrahedron = sqrt(Total Surface Area of Tetrahedron/(sqrt(3)))/(2*sqrt(2))
• Midsphere Radius of Tetrahedron = sqrt((4*Face Area of Tetrahedron)/sqrt(3))/(2*sqrt(2))