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Midsphere Radius of Octahedron given Insphere Radius Formula

GoMidsphere Radius of Octahedron Formula

GoMidsphere Radius of Octahedron given Space Diagonal 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 = \sqrt{\frac{3}{2}} \cdot r i

r_m - Midsphere Radius of Octahedron?r_i - Insphere Radius of Octahedron?

Midsphere Radius of Octahedron given Insphere Radius Example

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

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

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

4.899 = \sqrt{\frac{3}{2}} \cdot 4

4.899m = \sqrt{\frac{3}{2}} \cdot 4m

4.899 = \sqrt{\frac{3}{2}} \cdot 4

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Midsphere Radius of Octahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \sqrt{\frac{3}{2}} \cdot 4m

Next Step Prepare to Evaluate

∴

r m = \sqrt{\frac{3}{2}} \cdot 4

Next Step Evaluate

∴

r m = 4.89897948556636m

LAST Step Rounding Answer

∴

r m = 4.899m

Midsphere Radius of Octahedron given Insphere 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

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 Midsphere Radius of Octahedron

Go Midsphere Radius of Octahedron

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

Go Midsphere Radius of Octahedron given Space Diagonal

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

Other formulas in Midsphere Radius of Octahedron category

Go Circumsphere Radius of Octahedron

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

Go Circumsphere Radius of Octahedron given Insphere Radius

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

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

How to Evaluate Midsphere Radius of Octahedron given Insphere Radius?

Midsphere Radius of Octahedron given Insphere Radius evaluator uses Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron to evaluate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron given Insphere 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 insphere radius of the Octahedron. Midsphere Radius of Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Octahedron given Insphere Radius

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

The formula of Midsphere Radius of Octahedron given Insphere Radius is expressed as Midsphere Radius of Octahedron = sqrt(3/2)*Insphere Radius of Octahedron. Here is an example- 4.898979 = sqrt(3/2)*4.

How to calculate Midsphere Radius of Octahedron given Insphere Radius?

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

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

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

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

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

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