Circumsphere Radius of Octahedron given Total Surface Area Calculator

✖Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.ⓘ Total Surface Area of Octahedron [TSA]

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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 Total Surface Area [r_c]

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Formula

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Circumsphere Radius of Octahedron given Total Surface Area

Formula

`"r"_{"c"} = sqrt("TSA"/(4*sqrt(3)))`

Example

`"7.107612m"=sqrt("350m²"/(4*sqrt(3)))`

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Circumsphere Radius of Octahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
r_c = sqrt(TSA/(4*sqrt(3)))
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.
Total Surface Area of Octahedron - (Measured in Square Meter) - Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Octahedron: 350 Square Meter --> 350 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(TSA/(4*sqrt(3))) --> sqrt(350/(4*sqrt(3)))

Evaluating ... ...

r_c = 7.10761201488181

STEP 3: Convert Result to Output's Unit

7.10761201488181 Meter --> No Conversion Required

FINAL ANSWER

7.10761201488181 ≈ 7.107612 Meter <-- Circumsphere Radius 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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< 7 Circumsphere Radius of Octahedron Calculators

Circumsphere Radius of Octahedron given Total Surface Area

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

Circumsphere Radius of Octahedron given Volume

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

Circumsphere Radius of Octahedron given Surface to Volume Ratio

Go Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron

Circumsphere Radius of Octahedron given Midsphere Radius

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

Circumsphere Radius of Octahedron given Insphere Radius

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

Circumsphere Radius of Octahedron

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

Circumsphere Radius of Octahedron given Space Diagonal

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

Circumsphere Radius of Octahedron given Total Surface Area Formula

Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))
r_c = sqrt(TSA/(4*sqrt(3)))

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 Total Surface Area?

Circumsphere Radius of Octahedron given Total Surface Area calculator uses Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))) to calculate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Total Surface Area 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 total surface area of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Octahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Octahedron given Total Surface Area, enter Total Surface Area of Octahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Octahedron given Total Surface Area calculation can be explained with given input values -> 7.107612 = sqrt(350/(4*sqrt(3))).

FAQ

What is Circumsphere Radius of Octahedron given Total Surface Area?

The Circumsphere Radius of Octahedron given Total Surface Area 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 total surface area of the Octahedron and is represented as r_c = sqrt(TSA/(4*sqrt(3))) or Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))). Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.

How to calculate Circumsphere Radius of Octahedron given Total Surface Area?

The Circumsphere Radius of Octahedron given Total Surface Area 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 total surface area of the Octahedron is calculated using Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))). To calculate Circumsphere Radius of Octahedron given Total Surface Area, you need Total Surface Area of Octahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area of Octahedron. We can use 6 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(2)*Midsphere Radius of Octahedron
Circumsphere Radius of Octahedron = (3*sqrt(3))/Surface to Volume Ratio of Octahedron
Circumsphere Radius of Octahedron = Space Diagonal of Octahedron/2
Circumsphere Radius of Octahedron = ((3*Volume of Octahedron)/sqrt(2))^(1/3)/sqrt(2)

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