Circumsphere Radius of Octahedron given Midsphere Radius Calculator

✖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.ⓘ Midsphere Radius of Octahedron [r_m]

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✖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.ⓘ Circumsphere Radius of Octahedron given Midsphere Radius [r_c]

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Circumsphere Radius of Octahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
r_c = sqrt(2)*r_m
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Octahedron: 5 Meter --> 5 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(2)*r_m --> sqrt(2)*5

Evaluating ... ...

r_c = 7.07106781186548

STEP 3: Convert Result to Output's Unit

7.07106781186548 Meter --> No Conversion Required

FINAL ANSWER

7.07106781186548 ≈ 7.071068 Meter <-- Circumsphere Radius of Octahedron

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< Circumsphere Radius of Octahedron Calculators

Circumsphere Radius of Octahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))

Circumsphere Radius of Octahedron given Midsphere Radius

LaTeX Go Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron

Circumsphere Radius of Octahedron given Insphere Radius

LaTeX Go Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron

Circumsphere Radius of Octahedron

LaTeX Go Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)

Circumsphere Radius of Octahedron given Midsphere Radius Formula

LaTeX Go

Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron
r_c = sqrt(2)*r_m

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 Circumsphere Radius of Octahedron given Midsphere Radius?

Circumsphere Radius of Octahedron given Midsphere Radius calculator uses Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron to calculate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Octahedron given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Octahedron given Midsphere Radius, enter Midsphere Radius of Octahedron (r_m) and hit the calculate button. Here is how the Circumsphere Radius of Octahedron given Midsphere Radius calculation can be explained with given input values -> 7.071068 = sqrt(2)*5.

FAQ

What is Circumsphere Radius of Octahedron given Midsphere Radius?

The Circumsphere Radius of Octahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Octahedron and is represented as r_c = sqrt(2)*r_m or Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron. 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.

How to calculate Circumsphere Radius of Octahedron given Midsphere Radius?

The Circumsphere Radius of Octahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Octahedron is calculated using Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron. To calculate Circumsphere Radius of Octahedron given Midsphere Radius, you need Midsphere Radius of Octahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Circumsphere Radius of Octahedron?

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

Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron
Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))

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