## Midsphere Radius of Octahedron given Space Diagonal Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
rm = dSpace/(2*sqrt(2))
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 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.
Space Diagonal of Octahedron - (Measured in Meter) - The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.
STEP 1: Convert Input(s) to Base Unit
Space Diagonal of Octahedron: 14 Meter --> 14 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = dSpace/(2*sqrt(2)) --> 14/(2*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 00.004 seconds)
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## Credits

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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

## < 9 Radius of Octahedron Calculators

Insphere Radius of Octahedron given Total Surface Area
Insphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6)
Midsphere Radius of Octahedron given Space Diagonal
Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
Insphere Radius of Octahedron = Edge Length of Octahedron/sqrt(6)
Circumsphere Radius of Octahedron given Space Diagonal
Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2
Midsphere Radius of Octahedron = Edge Length of Octahedron/2

## Midsphere Radius of Octahedron given Space Diagonal Formula

Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))
rm = dSpace/(2*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.

## How to Calculate Midsphere Radius of Octahedron given Space Diagonal?

Midsphere Radius of Octahedron given Space Diagonal calculator uses Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2)) to calculate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron given Space Diagonal 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 space diagonal of the Octahedron. Midsphere Radius of Octahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Octahedron given Space Diagonal using this online calculator? To use this online calculator for Midsphere Radius of Octahedron given Space Diagonal, enter Space Diagonal of Octahedron (dSpace) and hit the calculate button. Here is how the Midsphere Radius of Octahedron given Space Diagonal calculation can be explained with given input values -> 4.949747 = 14/(2*sqrt(2)).

### FAQ

What is Midsphere Radius of Octahedron given Space Diagonal?
Midsphere Radius of Octahedron given Space Diagonal 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 space diagonal of the Octahedron and is represented as rm = dSpace/(2*sqrt(2)) or Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2)). The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.
How to calculate Midsphere Radius of Octahedron given Space Diagonal?
Midsphere Radius of Octahedron given Space Diagonal 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 space diagonal of the Octahedron is calculated using Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2)). To calculate Midsphere Radius of Octahedron given Space Diagonal, you need Space Diagonal of Octahedron (dSpace). With our tool, you need to enter the respective value for Space Diagonal 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 Space Diagonal of Octahedron. We can use 8 other way(s) to calculate the same, which is/are as follows -
• Midsphere Radius of Octahedron = Edge Length of Octahedron/2