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Insphere Radius of Octahedron Formula

GoInsphere Radius of Octahedron given Midsphere Radius Formula

GoInsphere Radius of Octahedron given Total Surface Area 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{l e}{\sqrt{6}}

r_i - Insphere Radius of Octahedron?l_e - Edge Length of Octahedron?

Insphere Radius of Octahedron Example

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

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

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

4.0825 = \frac{10}{\sqrt{6}}

4.0825m = \frac{10m}{\sqrt{6}}

4.0825 = \frac{10}{\sqrt{6}}

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Insphere Radius of Octahedron Solution

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

FIRST Step Consider the formula

r i = \frac{l e}{\sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{10m}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{10}{\sqrt{6}}

Next Step Evaluate

∴

r i = 4.08248290463863m

LAST Step Rounding Answer

∴

r i = 4.0825m

Insphere Radius of Octahedron 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

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

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 given Midsphere Radius

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

Go Insphere Radius of Octahedron given Total Surface Area

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

Other formulas in Insphere 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 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

How to Evaluate Insphere Radius of Octahedron?

Insphere Radius of Octahedron evaluator uses Insphere Radius of Octahedron = Edge Length of Octahedron/sqrt(6) to evaluate the Insphere Radius of Octahedron, Insphere Radius of Octahedron formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touching the sphere. Insphere Radius of Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Octahedron

What is the formula to find Insphere Radius of Octahedron?

The formula of Insphere Radius of Octahedron is expressed as Insphere Radius of Octahedron = Edge Length of Octahedron/sqrt(6). Here is an example- 4.082483 = 10/sqrt(6).

How to calculate Insphere Radius of Octahedron?

With Edge Length of Octahedron (l_e) we can find Insphere Radius of Octahedron using the formula - Insphere Radius of Octahedron = Edge Length of Octahedron/sqrt(6). 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=sqrt(2/3)*Midsphere Radius of Octahedron
Insphere Radius of Octahedron=sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6)

Can the Insphere Radius of Octahedron be negative?

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

Which unit is used to measure Insphere Radius of Octahedron?

Insphere 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 Insphere Radius of Octahedron can be measured.

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