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Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoInsphere Radius of Hexakis Octahedron Formula

GoInsphere Radius of Hexakis Octahedron given Medium 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{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (l e(Truncated Cuboctahedron))

r_i - Insphere Radius of Hexakis Octahedron?l_{e(Truncated Cuboctahedron)} - Truncated Cuboctahedron Edge of Hexakis Octahedron?

Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Example

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Here is how the Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like with Values.

Here is how the Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like with Units.

Here is how the Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge equation looks like.

17.6779 = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

17.6779m = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8m)

17.6779 = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

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Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

Follow our step by step solution on how to calculate Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge?

FIRST Step Consider the formula

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (l e(Truncated Cuboctahedron))

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8m)

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

Next Step Evaluate

∴

r i = 17.6779296820531m

LAST Step Rounding Answer

∴

r i = 17.6779m

Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge 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

Truncated Cuboctahedron Edge of Hexakis Octahedron

Truncated Cuboctahedron Edge of Hexakis Octahedron is the length of the edges of a Hexakis Octahedron that is created by truncating the vertices of a Cuboctahedron.

Symbol: l_{e(Truncated Cuboctahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Truncated Cuboctahedron 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

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

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})}}})

How to Evaluate Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge?

Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge evaluator uses Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(2/7)*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron) to evaluate the Insphere Radius of Hexakis Octahedron, Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge 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, calculated using truncated cuboctahedron edge of Hexakis Octahedron. Insphere Radius of Hexakis Octahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online evaluator? To use this online evaluator for Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge, enter Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) and hit the calculate button.

FAQs on Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge

What is the formula to find Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge?

The formula of Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge is expressed as Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(2/7)*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron). Here is an example- 17.67793 = ((sqrt((402+(195*sqrt(2)))/194))/2)*(2/7)*(sqrt(60+(6*sqrt(2))))*(8).

How to calculate Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge?

With Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) we can find Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge using the formula - Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(2/7)*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron). 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=(Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194))
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)))

Can the Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge be negative?

No, the Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge?

Insphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge 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 given Truncated Cuboctahedron Edge can be measured.

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