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Circumsphere Radius of Octahedron given Midsphere Radius Formula

GoCircumsphere Radius of Octahedron given Insphere Radius Formula

GoCircumsphere Radius of Octahedron 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{2} \cdot r m

r_c - Circumsphere Radius of Octahedron?r_m - Midsphere Radius of Octahedron?

Circumsphere Radius of Octahedron given Midsphere Radius Example

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

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

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

7.0711 = \sqrt{2} \cdot 5

7.0711m = \sqrt{2} \cdot 5m

7.0711 = \sqrt{2} \cdot 5

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Circumsphere Radius of Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r c = \sqrt{2} \cdot r m

Next Step Substitute values of Variables

∴

r c = \sqrt{2} \cdot 5m

Next Step Prepare to Evaluate

∴

r c = \sqrt{2} \cdot 5

Next Step Evaluate

∴

r c = 7.07106781186548m

LAST Step Rounding Answer

∴

r c = 7.0711m

Circumsphere Radius of Octahedron given Midsphere 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

Midsphere Radius of Octahedron

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.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 given Insphere Radius

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

Go Circumsphere Radius of Octahedron

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

Go Circumsphere Radius of Octahedron given Total Surface Area

r c = \sqrt{\frac{TSA}{4 \cdot \sqrt{3}}}

Go Circumsphere Radius of Octahedron given Surface to Volume Ratio

r c = \frac{3 \cdot \sqrt{3}}{R A/V}

How to Evaluate Circumsphere Radius of Octahedron given Midsphere Radius?

Circumsphere Radius of Octahedron given Midsphere Radius evaluator uses Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron to evaluate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Midsphere 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 midsphere radius of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Octahedron given Midsphere Radius

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

The formula of Circumsphere Radius of Octahedron given Midsphere Radius is expressed as Circumsphere Radius of Octahedron = sqrt(2)*Midsphere Radius of Octahedron. Here is an example- 7.071068 = sqrt(2)*5.

How to calculate Circumsphere Radius of Octahedron given Midsphere Radius?

With Midsphere Radius of Octahedron (r_m) we can find Circumsphere Radius of Octahedron given Midsphere Radius using the formula - Circumsphere Radius of Octahedron = sqrt(2)*Midsphere 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=sqrt(3)*Insphere Radius of Octahedron
Circumsphere Radius of Octahedron=Edge Length of Octahedron/sqrt(2)
Circumsphere Radius of Octahedron=sqrt(Total Surface Area of Octahedron/(4*sqrt(3)))

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

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

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

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

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