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Midsphere Radius of Octahedron Formula

GoMidsphere Radius of Octahedron given Insphere Radius 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 = \frac{l e}{2}

r_m - Midsphere Radius of Octahedron?l_e - Edge Length of Octahedron?

Midsphere Radius of Octahedron Example

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

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

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

5 = \frac{10}{2}

5m = \frac{10m}{2}

5 = \frac{10}{2}

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Midsphere Radius of Octahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{10m}{2}

Next Step Prepare to Evaluate

∴

r m = \frac{10}{2}

LAST Step Evaluate

∴

r m = 5m

Midsphere Radius of Octahedron Formula Elements

Variables

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

Edge Length of Octahedron

Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octahedron

Other Formulas to find Midsphere Radius of Octahedron

Go Midsphere Radius of Octahedron given Insphere Radius

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

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?

Midsphere Radius of Octahedron evaluator uses Midsphere Radius of Octahedron = Edge Length of Octahedron/2 to evaluate the Midsphere Radius of Octahedron, Midsphere Radius of Octahedron formula is defined as the radius of the sphere for which all the edges of the Octahedron become a tangent line on that sphere. Midsphere Radius of Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Octahedron

What is the formula to find Midsphere Radius of Octahedron?

The formula of Midsphere Radius of Octahedron is expressed as Midsphere Radius of Octahedron = Edge Length of Octahedron/2. Here is an example- 5 = 10/2.

How to calculate Midsphere Radius of Octahedron?

With Edge Length of Octahedron (l_e) we can find Midsphere Radius of Octahedron using the formula - Midsphere Radius of Octahedron = Edge Length of Octahedron/2.

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=sqrt(3/2)*Insphere Radius of Octahedron
Midsphere Radius of Octahedron=Space Diagonal of Octahedron/(2*sqrt(2))

Can the Midsphere Radius of Octahedron be negative?

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

Which unit is used to measure Midsphere Radius of Octahedron?

Midsphere Radius of Octahedron 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 can be measured.

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