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Insphere Radius of Octahedron given Space Diagonal Formula

GoInsphere Radius of Octahedron Formula

GoInsphere Radius of Octahedron given Midsphere Radius Formula

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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. Check FAQs

r i = \frac{d Space}{2 \cdot \sqrt{3}}

r_i - Insphere Radius of Octahedron?d_Space - Space Diagonal of Octahedron?

Insphere Radius of Octahedron given Space Diagonal Example

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

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

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

4.0415 = \frac{14}{2 \cdot \sqrt{3}}

4.0415m = \frac{14m}{2 \cdot \sqrt{3}}

4.0415 = \frac{14}{2 \cdot \sqrt{3}}

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Insphere Radius of Octahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

r i = \frac{d Space}{2 \cdot \sqrt{3}}

Next Step Substitute values of Variables

∴

r i = \frac{14m}{2 \cdot \sqrt{3}}

Next Step Prepare to Evaluate

∴

r i = \frac{14}{2 \cdot \sqrt{3}}

Next Step Evaluate

∴

r i = 4.04145188432738m

LAST Step Rounding Answer

∴

r i = 4.0415m

Insphere Radius of Octahedron given Space Diagonal Formula Elements

Variables

Functions

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

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 Insphere Radius of Octahedron

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

Go Insphere Radius of Octahedron given Circumsphere Radius

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

Go Insphere Radius of Octahedron given Total Surface Area

r i = \frac{\sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

How to Evaluate Insphere Radius of Octahedron given Space Diagonal?

Insphere Radius of Octahedron given Space Diagonal evaluator uses Insphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(3)) to evaluate the Insphere Radius of Octahedron, Insphere Radius of Octahedron given Space Diagonal formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touch the sphere, and is calculated using the space diagonal of the Octahedron. Insphere Radius of Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Octahedron given Space Diagonal

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

The formula of Insphere Radius of Octahedron given Space Diagonal is expressed as Insphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(3)). Here is an example- 4.041452 = 14/(2*sqrt(3)).

How to calculate Insphere Radius of Octahedron given Space Diagonal?

With Space Diagonal of Octahedron (d_Space) we can find Insphere Radius of Octahedron given Space Diagonal using the formula - Insphere Radius of Octahedron = Space Diagonal of Octahedron/(2*sqrt(3)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Octahedron=Edge Length of Octahedron/sqrt(6)
Insphere Radius of Octahedron=sqrt(2/3)*Midsphere Radius of Octahedron
Insphere Radius of Octahedron=Circumsphere Radius of Octahedron/sqrt(3)

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

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

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

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

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