Edge Length of Octahedron given Circumsphere Radius Calculator

✖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 [r_c]

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✖Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.ⓘ Edge Length of Octahedron given Circumsphere Radius [l_e]

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Edge Length of Octahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron
l_e = sqrt(2)*r_c
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

Edge Length of Octahedron - (Measured in Meter) - Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.
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

l_e = sqrt(2)*r_c --> sqrt(2)*7

Evaluating ... ...

l_e = 9.89949493661167

STEP 3: Convert Result to Output's Unit

9.89949493661167 Meter --> No Conversion Required

FINAL ANSWER

9.89949493661167 ≈ 9.899495 Meter <-- Edge Length of Octahedron

(Calculation completed in 00.004 seconds)

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

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< Edge Length of Octahedron Calculators

Edge Length of Octahedron given Total Surface Area

LaTeX Go Edge Length of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))

Edge Length of Octahedron given Circumsphere Radius

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

Edge Length of Octahedron given Insphere Radius

LaTeX Go Edge Length of Octahedron = sqrt(6)*Insphere Radius of Octahedron

Edge Length of Octahedron given Midsphere Radius

LaTeX Go Edge Length of Octahedron = 2*Midsphere Radius of Octahedron

Edge Length of Octahedron given Circumsphere Radius Formula

LaTeX Go

Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron
l_e = sqrt(2)*r_c

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 Edge Length of Octahedron given Circumsphere Radius?

Edge Length of Octahedron given Circumsphere Radius calculator uses Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron to calculate the Edge Length of Octahedron, The Edge Length of Octahedron given Circumsphere Radius formula is defined as the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron and calculated using the circumsphere radius of the Octahedron. Edge Length of Octahedron is denoted by l_e symbol.

How to calculate Edge Length of Octahedron given Circumsphere Radius using this online calculator? To use this online calculator for Edge Length of Octahedron given Circumsphere Radius, enter Circumsphere Radius of Octahedron (r_c) and hit the calculate button. Here is how the Edge Length of Octahedron given Circumsphere Radius calculation can be explained with given input values -> 9.899495 = sqrt(2)*7.

FAQ

What is Edge Length of Octahedron given Circumsphere Radius?

The Edge Length of Octahedron given Circumsphere Radius formula is defined as the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron and calculated using the circumsphere radius of the Octahedron and is represented as l_e = sqrt(2)*r_c or Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron. 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.

How to calculate Edge Length of Octahedron given Circumsphere Radius?

The Edge Length of Octahedron given Circumsphere Radius formula is defined as the length of any of the edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron and calculated using the circumsphere radius of the Octahedron is calculated using Edge Length of Octahedron = sqrt(2)*Circumsphere Radius of Octahedron. To calculate Edge Length of Octahedron given Circumsphere Radius, you need Circumsphere Radius of Octahedron (r_c). 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 Edge Length of Octahedron?

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

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

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