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Insphere Radius of Hexakis Octahedron Formula

GoInsphere Radius of Hexakis Octahedron given Medium Edge Formula

GoInsphere Radius of Hexakis Octahedron given Short Edge Formula

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Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = (\frac{l e(Long)}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

r_i - Insphere Radius of Hexakis Octahedron?l_e(Long) - Long Edge of Hexakis Octahedron?

Insphere Radius of Hexakis Octahedron Example

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

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

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

18.6914 = (\frac{20}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

18.6914m = (\frac{20m}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

18.6914 = (\frac{20}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

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Insphere Radius of Hexakis Octahedron Solution

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

FIRST Step Consider the formula

r i = (\frac{l e(Long)}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Substitute values of Variables

∴

r i = (\frac{20m}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Prepare to Evaluate

∴

r i = (\frac{20}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Next Step Evaluate

∴

r i = 18.6913570172352m

LAST Step Rounding Answer

∴

r i = 18.6914m

Insphere Radius of Hexakis Octahedron Formula Elements

Variables

Functions

Insphere Radius of Hexakis Octahedron

Insphere Radius of Hexakis Octahedron is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Hexakis Octahedron

Long Edge of Hexakis Octahedron

Long Edge of Hexakis Octahedron is the length of the long edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge of Hexakis 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 Hexakis Octahedron

Go Insphere Radius of Hexakis Octahedron given Medium Edge

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})

Go Insphere Radius of Hexakis Octahedron given Short Edge

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Insphere Radius of Hexakis Octahedron given Total Surface Area

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Go Insphere Radius of Hexakis Octahedron given Volume

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Insphere Radius of Hexakis Octahedron?

Insphere Radius of Hexakis Octahedron evaluator uses Insphere Radius of Hexakis Octahedron = (Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194)) to evaluate the Insphere Radius of Hexakis Octahedron, Insphere Radius of Hexakis Octahedron formula is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere. Insphere Radius of Hexakis Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Octahedron

What is the formula to find Insphere Radius of Hexakis Octahedron?

The formula of Insphere Radius of Hexakis Octahedron is expressed as Insphere Radius of Hexakis Octahedron = (Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194)). Here is an example- 18.69136 = (20/2)*(sqrt((402+(195*sqrt(2)))/194)).

How to calculate Insphere Radius of Hexakis Octahedron?

With Long Edge of Hexakis Octahedron (l_e(Long)) we can find Insphere Radius of Hexakis Octahedron using the formula - Insphere Radius of Hexakis Octahedron = (Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194)). This formula also uses Square Root (sqrt) function(s).

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

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

Insphere Radius of Hexakis Octahedron=((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))
Insphere Radius of Hexakis Octahedron=((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))
Insphere Radius of Hexakis Octahedron=((sqrt((402+(195*sqrt(2)))/194))/2)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

Can the Insphere Radius of Hexakis Octahedron be negative?

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

Which unit is used to measure Insphere Radius of Hexakis Octahedron?

Insphere Radius of Hexakis 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 Hexakis Octahedron can be measured.

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