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Circumsphere Radius of Octahedron given Insphere Radius Formula

GoCircumsphere Radius of Octahedron 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 = \sqrt{3} \cdot r i

r_c - Circumsphere Radius of Octahedron?r_i - Insphere Radius of Octahedron?

Circumsphere Radius of Octahedron given Insphere Radius Example

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

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

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

6.9282 = \sqrt{3} \cdot 4

6.9282m = \sqrt{3} \cdot 4m

6.9282 = \sqrt{3} \cdot 4

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Circumsphere Radius of Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot 4m

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot 4

Next Step Evaluate

∴

r c = 6.92820323027551m

LAST Step Rounding Answer

∴

r c = 6.9282m

Circumsphere Radius of Octahedron given Insphere Radius 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

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius 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

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

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 given Insphere Radius?

Circumsphere Radius of Octahedron given Insphere Radius evaluator uses Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron to evaluate the Circumsphere Radius of Octahedron, Circumsphere Radius of Octahedron given Insphere 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 insphere radius of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Octahedron given Insphere Radius

What is the formula to find Circumsphere Radius of Octahedron given Insphere Radius?

The formula of Circumsphere Radius of Octahedron given Insphere Radius is expressed as Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron. Here is an example- 6.928203 = sqrt(3)*4.

How to calculate Circumsphere Radius of Octahedron given Insphere Radius?

With Insphere Radius of Octahedron (r_i) we can find Circumsphere Radius of Octahedron given Insphere Radius using the formula - Circumsphere Radius of Octahedron = sqrt(3)*Insphere Radius of Octahedron. 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=Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron=Space Diagonal of Octahedron/2

Can the Circumsphere Radius of Octahedron given Insphere Radius be negative?

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

Which unit is used to measure Circumsphere Radius of Octahedron given Insphere Radius?

Circumsphere Radius of Octahedron given Insphere Radius 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 given Insphere Radius can be measured.

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