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Midsphere Radius of Octahedron given Space Diagonal 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{d Space}{2 \cdot \sqrt{2}}

r_m - Midsphere Radius of Octahedron?d_Space - Space Diagonal of Octahedron?

Midsphere Radius of Octahedron given Space Diagonal Example

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

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

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

4.9497 = \frac{14}{2 \cdot \sqrt{2}}

4.9497m = \frac{14m}{2 \cdot \sqrt{2}}

4.9497 = \frac{14}{2 \cdot \sqrt{2}}

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Midsphere Radius of Octahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{14m}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

r m = \frac{14}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

r m = 4.94974746830583m

LAST Step Rounding Answer

∴

r m = 4.9497m

Midsphere Radius of Octahedron given Space Diagonal 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

Space Diagonal of Octahedron

The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal 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

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 Space Diagonal?

Midsphere Radius of Octahedron given Space Diagonal evaluator uses Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2)) to evaluate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron given Space Diagonal 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 space diagonal of the Octahedron. Midsphere Radius of Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Octahedron given Space Diagonal

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

The formula of Midsphere Radius of Octahedron given Space Diagonal is expressed as Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(2)). Here is an example- 4.949747 = 14/(2*sqrt(2)).

How to calculate Midsphere Radius of Octahedron given Space Diagonal?

With Space Diagonal of Octahedron (d_Space) we can find Midsphere Radius of Octahedron given Space Diagonal using the formula - Midsphere Radius of Octahedron = Space Diagonal of Octahedron/(2*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

Can the Midsphere Radius of Octahedron given Space Diagonal be negative?

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

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

Midsphere Radius of Octahedron given Space Diagonal 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 Space Diagonal can be measured.

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