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Circumsphere Radius of Octahedron Formula

GoCircumsphere Radius of Octahedron given Insphere Radius Formula

GoCircumsphere Radius of Octahedron given Space Diagonal Formula

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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. Check FAQs

r c = \frac{l e}{\sqrt{2}}

r_c - Circumsphere Radius of Octahedron?l_e - Edge Length of Octahedron?

Circumsphere Radius of Octahedron Example

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Here is how the Circumsphere Radius of Octahedron equation looks like with Values.

Here is how the Circumsphere Radius of Octahedron equation looks like with Units.

Here is how the Circumsphere Radius of Octahedron equation looks like.

7.0711 = \frac{10}{\sqrt{2}}

7.0711m = \frac{10m}{\sqrt{2}}

7.0711 = \frac{10}{\sqrt{2}}

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Circumsphere Radius of Octahedron Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Octahedron?

FIRST Step Consider the formula

r c = \frac{l e}{\sqrt{2}}

Next Step Substitute values of Variables

∴

r c = \frac{10m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r c = \frac{10}{\sqrt{2}}

Next Step Evaluate

∴

r c = 7.07106781186547m

LAST Step Rounding Answer

∴

r c = 7.0711m

Circumsphere Radius of Octahedron Formula Elements

Variables

Functions

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.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Octahedron

Edge Length of Octahedron

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.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Circumsphere Radius of Octahedron

Go Circumsphere Radius of Octahedron given Insphere Radius

r c = \sqrt{3} \cdot r i

Go Circumsphere Radius of Octahedron given Space Diagonal

r c = \frac{d Space}{2}

Other formulas in Circumsphere Radius of Octahedron category

Go Insphere Radius of Octahedron

r i = \frac{l e}{\sqrt{6}}

Go Insphere Radius of Octahedron given Midsphere Radius

r i = \sqrt{\frac{2}{3}} \cdot r m

Go Insphere Radius of Octahedron given Total Surface Area

r i = \frac{\sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

Go Midsphere Radius of Octahedron

r m = \frac{l e}{2}

How to Evaluate Circumsphere Radius of Octahedron?

Circumsphere Radius of Octahedron evaluator uses Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2) to evaluate the Circumsphere Radius of Octahedron, Circumsphere Radius of Octahedron 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. Circumsphere Radius of Octahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Octahedron using this online evaluator? To use this online evaluator for Circumsphere Radius of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button.

FAQs on Circumsphere Radius of Octahedron

What is the formula to find Circumsphere Radius of Octahedron?

The formula of Circumsphere Radius of Octahedron is expressed as Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2). Here is an example- 7.071068 = 10/sqrt(2).

How to calculate Circumsphere Radius of Octahedron?

With Edge Length of Octahedron (l_e) we can find Circumsphere Radius of Octahedron using the formula - Circumsphere Radius of Octahedron = Edge Length of Octahedron/sqrt(2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Octahedron?

Here are the different ways to Calculate Circumsphere Radius of Octahedron-

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

Can the Circumsphere Radius of Octahedron be negative?

No, the Circumsphere Radius of Octahedron, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Octahedron?

Circumsphere Radius of Octahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Octahedron can be measured.

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