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Midsphere Radius of Octahedron given Circumsphere Radius Formula

GoMidsphere Radius of Octahedron Formula

GoMidsphere Radius of Octahedron given Insphere Radius Formula

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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. Check FAQs

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

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

Midsphere Radius of Octahedron given Circumsphere Radius Example

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

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

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

4.9497 = \frac{7}{\sqrt{2}}

4.9497m = \frac{7m}{\sqrt{2}}

4.9497 = \frac{7}{\sqrt{2}}

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Midsphere Radius of Octahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{7m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{7}{\sqrt{2}}

Next Step Evaluate

∴

r m = 4.94974746830583m

LAST Step Rounding Answer

∴

r m = 4.9497m

Midsphere Radius of Octahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Midsphere Radius of Octahedron

Go Midsphere Radius of Octahedron

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

Go Midsphere Radius of Octahedron given Insphere Radius

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

Go Midsphere Radius of Octahedron given Surface to Volume Ratio

r m = \frac{3 \cdot \sqrt{6}}{2 \cdot R A/V}

Go Midsphere Radius of Octahedron given Space Diagonal

r m = \frac{d Space}{2 \cdot \sqrt{2}}

How to Evaluate Midsphere Radius of Octahedron given Circumsphere Radius?

Midsphere Radius of Octahedron given Circumsphere Radius evaluator uses Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2) to evaluate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron given Circumsphere Radius 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 calculated using the circumsphere radius of the Octahedron. Midsphere Radius of Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Octahedron given Circumsphere Radius

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

The formula of Midsphere Radius of Octahedron given Circumsphere Radius is expressed as Midsphere Radius of Octahedron = Circumsphere Radius of Octahedron/sqrt(2). Here is an example- 4.949747 = 7/sqrt(2).

How to calculate Midsphere Radius of Octahedron given Circumsphere Radius?

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

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

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

Midsphere Radius of Octahedron=Edge Length of Octahedron/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)

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

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

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

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

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