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Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Formula

GoCircumsphere Radius of Rhombicuboctahedron Formula

GoCircumsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

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

r c = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{r m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

r_c - Circumsphere Radius of Rhombicuboctahedron?r_m - Midsphere Radius of Rhombicuboctahedron?

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Example

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

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

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

13.9194 = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

13.9194m = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

13.9194 = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

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Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

r c = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{r m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Substitute values of Variables

∴

r c = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{5 + (2 \cdot \sqrt{2})} \cdot \frac{13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r c = 13.9193921199791m

LAST Step Rounding Answer

∴

r c = 13.9194m

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Circumsphere Radius of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron 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 Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron 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 Rhombicuboctahedron

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 Rhombicuboctahedron

Go Circumsphere Radius of Rhombicuboctahedron

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot l e

Go Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Circumsphere Radius of Rhombicuboctahedron given Volume

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

r c = \frac{\sqrt{5 + (2 \cdot \sqrt{2})}}{2} \cdot \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius?

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius evaluator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2)))) to evaluate the Circumsphere Radius of Rhombicuboctahedron, Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Rhombicuboctahedron. Circumsphere Radius of Rhombicuboctahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

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

The formula of Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius is expressed as Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2)))). Here is an example- 13.91939 = sqrt(5+(2*sqrt(2)))*13/(sqrt(4+(2*sqrt(2)))).

How to calculate Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius?

With Midsphere Radius of Rhombicuboctahedron (r_m) we can find Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius using the formula - Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Rhombicuboctahedron?

Here are the different ways to Calculate Circumsphere Radius of Rhombicuboctahedron-

Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Circumsphere Radius of Rhombicuboctahedron=sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Can the Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius be negative?

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

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

Circumsphere Radius of Rhombicuboctahedron 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 Rhombicuboctahedron given Midsphere Radius can be measured.

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