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Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Medium Edge Formula

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Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere. Check FAQs

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (l e(Truncated Cuboctahedron))

r_m - Midsphere Radius of Hexakis Octahedron?l_{e(Truncated Cuboctahedron)} - Truncated Cuboctahedron Edge of Hexakis Octahedron?

Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Example

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

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

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

18.1043 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

18.1043m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8m)

18.1043 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

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Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (l e(Truncated Cuboctahedron))

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8m)

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{2}{7}) \cdot (\sqrt{60 + (6 \cdot \sqrt{2})}) \cdot (8)

Next Step Evaluate

∴

r m = 18.1042675076297m

LAST Step Rounding Answer

∴

r m = 18.1043m

Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Octahedron

Midsphere Radius of Hexakis Octahedron is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 Midsphere Radius of Hexakis Octahedron

Go Midsphere Radius of Hexakis Octahedron

r m = (\frac{l e(Long)}{4}) \cdot (1 + (2 \cdot \sqrt{2}))

Go Midsphere Radius of Hexakis Octahedron given Medium Edge

r m = \frac{7 \cdot l e(Medium)}{6}

Go Midsphere Radius of Hexakis Octahedron given Short Edge

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Midsphere Radius of Hexakis Octahedron given Total Surface Area

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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

Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(2/7)*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron) to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere, calculated using the truncated cuboctahedron edge of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge using this online evaluator? To use this online evaluator for Midsphere 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 Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge

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

The formula of Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(2/7)*(sqrt(60+(6*sqrt(2))))*(Truncated Cuboctahedron Edge of Hexakis Octahedron). Here is an example- 18.10427 = ((1+(2*sqrt(2)))/4)*(2/7)*(sqrt(60+(6*sqrt(2))))*(8).

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

With Truncated Cuboctahedron Edge of Hexakis Octahedron (l_{e(Truncated Cuboctahedron)}) we can find Midsphere Radius of Hexakis Octahedron given Truncated Cuboctahedron Edge using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(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 Midsphere Radius of Hexakis Octahedron?

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

Midsphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/4)*(1+(2*sqrt(2)))
Midsphere Radius of Hexakis Octahedron=(7*Medium Edge of Hexakis Octahedron)/6
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

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

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

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

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

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