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Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius Formula

GoCircumsphere Radius of Truncated Cuboctahedron Formula

GoCircumsphere Radius of Truncated Cuboctahedron given Total Surface Area Formula

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Circumsphere Radius of Truncated Cuboctahedron is the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{r m}{\sqrt{12 + (6 \cdot \sqrt{2})}}

r_c - Circumsphere Radius of Truncated Cuboctahedron?r_m - Midsphere Radius of Truncated Cuboctahedron?

Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius Example

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

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

Here is how the Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius equation looks like.

22.5306 = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{22}{\sqrt{12 + (6 \cdot \sqrt{2})}}

22.5306m = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{22m}{\sqrt{12 + (6 \cdot \sqrt{2})}}

22.5306 = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{22}{\sqrt{12 + (6 \cdot \sqrt{2})}}

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Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r c = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{r m}{\sqrt{12 + (6 \cdot \sqrt{2})}}

Next Step Substitute values of Variables

∴

r c = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{22m}{\sqrt{12 + (6 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{13 + (6 \cdot \sqrt{2})} \cdot \frac{22}{\sqrt{12 + (6 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r c = 22.5305729987267m

LAST Step Rounding Answer

∴

r c = 22.5306m

Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Cuboctahedron

Circumsphere Radius of Truncated Cuboctahedron is the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron 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 Truncated Cuboctahedron

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 Circumsphere Radius of Truncated Cuboctahedron

Go Circumsphere Radius of Truncated Cuboctahedron

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot l e

Go Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{12 \cdot (2 + \sqrt{2} + \sqrt{3})}}

Go Circumsphere Radius of Truncated Cuboctahedron given Volume

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot {(\frac{V}{2 \cdot (11 + (7 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio

r c = \frac{\sqrt{13 + (6 \cdot \sqrt{2})}}{2} \cdot (\frac{6 \cdot (2 + \sqrt{2} + \sqrt{3})}{R A/V \cdot (11 + (7 \cdot \sqrt{2}))})

How to Evaluate Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius?

Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius evaluator uses Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))*Midsphere Radius of Truncated Cuboctahedron/(sqrt(12+(6*sqrt(2)))) to evaluate the Circumsphere Radius of Truncated Cuboctahedron, Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Truncated Cuboctahedron. Circumsphere Radius of Truncated Cuboctahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius

What is the formula to find Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius?

The formula of Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius is expressed as Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))*Midsphere Radius of Truncated Cuboctahedron/(sqrt(12+(6*sqrt(2)))). Here is an example- 22.53057 = sqrt(13+(6*sqrt(2)))*22/(sqrt(12+(6*sqrt(2)))).

How to calculate Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius?

With Midsphere Radius of Truncated Cuboctahedron (r_m) we can find Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius using the formula - Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))*Midsphere Radius of Truncated Cuboctahedron/(sqrt(12+(6*sqrt(2)))). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Circumsphere Radius of Truncated Cuboctahedron?

Here are the different ways to Calculate Circumsphere Radius of Truncated Cuboctahedron-

Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Circumsphere Radius of Truncated Cuboctahedron=sqrt(13+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Can the Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius be negative?

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

Which unit is used to measure Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius?

Circumsphere Radius of Truncated Cuboctahedron 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 Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius can be measured.

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