Midsphere Radius of Octahedron Calculator

✖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 [l_e]

+10%

-10%

✖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]

⎘ Copy

👎

Formula

✖

Midsphere Radius of Octahedron

Formula

`"r"_{"m"} = "l"_{"e"}/2`

Example

`"5m"="10m"/2`

Calculator

LaTeX

Reset

👍

Download Octahedron Formula PDF

Midsphere Radius of Octahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Octahedron = Edge Length of Octahedron/2
r_m = l_e/2
This formula uses 2 Variables

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.
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.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Octahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = l_e/2 --> 10/2

Evaluating ... ...

r_m = 5

STEP 3: Convert Result to Output's Unit

5 Meter --> No Conversion Required

FINAL ANSWER

5 Meter <-- Midsphere Radius of Octahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Platonic Solids » Octahedron » Radius of Octahedron » Midsphere Radius of Octahedron » Midsphere Radius of Octahedron

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< 7 Midsphere Radius of Octahedron Calculators

Midsphere Radius of Octahedron given Total Surface Area

Go Midsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/2

Midsphere Radius of Octahedron given Surface to Volume Ratio

Go Midsphere Radius of Octahedron = (3*sqrt(6))/(2*Surface to Volume Ratio of Octahedron)

Midsphere Radius of Octahedron given Volume

Go Midsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/2

Midsphere Radius of Octahedron given Circumsphere Radius

Go Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2)

Midsphere Radius of Octahedron given Space Diagonal

Go Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))

Midsphere Radius of Octahedron given Insphere Radius

Go Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron

Midsphere Radius of Octahedron

Go Midsphere Radius of Octahedron = Edge Length of Octahedron/2

< 9 Radius of Octahedron Calculators

Insphere Radius of Octahedron given Total Surface Area

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

Circumsphere Radius of Octahedron given Insphere Radius

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

Midsphere Radius of Octahedron given Space Diagonal

Go Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))

Insphere Radius of Octahedron given Midsphere Radius

Go Insphere Radius of Octahedron = sqrt(2/3)*Midsphere Radius of Octahedron

Midsphere Radius of Octahedron given Insphere Radius

Go Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron

Circumsphere Radius of Octahedron

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

Insphere Radius of Octahedron

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

Circumsphere Radius of Octahedron given Space Diagonal

Go Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2

Midsphere Radius of Octahedron

Go Midsphere Radius of Octahedron = Edge Length of Octahedron/2

Midsphere Radius of Octahedron Formula

Midsphere Radius of Octahedron = Edge Length of Octahedron/2
r_m = l_e/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?

Midsphere Radius of Octahedron calculator uses Midsphere Radius of Octahedron = Edge Length of Octahedron/2 to calculate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere. Midsphere Radius of Octahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Octahedron using this online calculator? To use this online calculator for Midsphere Radius of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Octahedron calculation can be explained with given input values -> 5 = 10/2.

FAQ

What is Midsphere Radius of Octahedron?

Midsphere Radius of Octahedron 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 represented as r_m = l_e/2 or Midsphere Radius of Octahedron = Edge Length of Octahedron/2. 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.

How to calculate Midsphere Radius of Octahedron?

Midsphere Radius of Octahedron formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere is calculated using Midsphere Radius of Octahedron = Edge Length of Octahedron/2. To calculate Midsphere Radius of Octahedron, you need Edge Length of Octahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Octahedron. We can use 8 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2)
Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron
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
Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron
Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2))

Home

FREE PDFs

🔍 Search