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Insphere Radius of Octahedron given Midsphere Radius Formula

GoInsphere Radius of Octahedron 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 = \sqrt{\frac{2}{3}} \cdot r m

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

Insphere Radius of Octahedron given Midsphere Radius Example

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

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

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

4.0825 = \sqrt{\frac{2}{3}} \cdot 5

4.0825m = \sqrt{\frac{2}{3}} \cdot 5m

4.0825 = \sqrt{\frac{2}{3}} \cdot 5

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Insphere Radius of Octahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{2}{3}} \cdot 5m

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{2}{3}} \cdot 5

Next Step Evaluate

∴

r i = 4.08248290463863m

LAST Step Rounding Answer

∴

r i = 4.0825m

Insphere Radius of Octahedron given Midsphere Radius 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

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

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 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 given Midsphere Radius?

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

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

FAQs on Insphere Radius of Octahedron given Midsphere Radius

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

The formula of Insphere Radius of Octahedron given Midsphere Radius is expressed as Insphere Radius of Octahedron = sqrt(2/3)*Midsphere Radius of Octahedron. Here is an example- 4.082483 = sqrt(2/3)*5.

How to calculate Insphere Radius of Octahedron given Midsphere Radius?

With Midsphere Radius of Octahedron (r_m) we can find Insphere Radius of Octahedron given Midsphere Radius using the formula - Insphere Radius of Octahedron = sqrt(2/3)*Midsphere Radius of Octahedron. This formula also uses Square Root Function 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(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6)

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

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

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

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

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