STEP 0: Pre-Calculation Summary
Formula Used
rm = rc/sqrt(2)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Midsphere Radius of Octahedron - (Measured in Meter) - Midsphere Radius of Octahedron is the radius of the sphere for which all the edges of the Octahedron become a tangent line to that sphere.
Circumsphere Radius of Octahedron - (Measured in Meter) - Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Octahedron: 7 Meter --> 7 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = rc/sqrt(2) --> 7/sqrt(2)
Evaluating ... ...
rm = 4.94974746830583
STEP 3: Convert Result to Output's Unit
4.94974746830583 Meter --> No Conversion Required
4.94974746830583 4.949747 Meter <-- Midsphere Radius of Octahedron
(Calculation completed in 00.003 seconds)
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## Credits

Created by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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## < 7 Midsphere Radius of Octahedron Calculators

Midsphere Radius of Octahedron given Total Surface Area
Midsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/2
Midsphere Radius of Octahedron given Surface to Volume Ratio
Midsphere Radius of Octahedron = (3*sqrt(6))/(2*Surface to Volume Ratio of Octahedron)
Midsphere Radius of Octahedron given Volume
Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2
Midsphere Radius of Octahedron given Space Diagonal
Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
Midsphere Radius of Octahedron = Edge Length of Octahedron/2

rm = rc/sqrt(2)

## What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four 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 Octahedron given Circumsphere Radius calculator uses Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2) to calculate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere, and is calculated using the circumsphere radius of the Octahedron. Midsphere Radius of Octahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Octahedron given Circumsphere Radius, enter Circumsphere Radius of Octahedron (rc) and hit the calculate button. Here is how the Midsphere Radius of Octahedron given Circumsphere Radius calculation can be explained with given input values -> 4.949747 = 7/sqrt(2).

### FAQ

Midsphere Radius of Octahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere, and is calculated using the circumsphere radius of the Octahedron and is represented as rm = rc/sqrt(2) or Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2). Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.
Midsphere Radius of Octahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere, and is calculated using the circumsphere radius of the Octahedron is calculated using Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2). To calculate Midsphere Radius of Octahedron given Circumsphere Radius, you need Circumsphere Radius of Octahedron (rc). With our tool, you need to enter the respective value for Circumsphere Radius of Octahedron 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 Octahedron?
In this formula, Midsphere Radius of Octahedron uses Circumsphere Radius of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
• Midsphere Radius of Octahedron = Edge Length of Octahedron/2
• Midsphere Radius of Octahedron = (3*sqrt(6))/(2*Surface to Volume Ratio of Octahedron)
• Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
• Midsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/2
• Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2
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