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Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Formula

GoMidsphere Radius of Rhombicuboctahedron Formula

GoMidsphere Radius of Rhombicuboctahedron given Total Surface Area Formula

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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. Check FAQs

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

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

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Example

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

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

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

13.0753 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{14}{\sqrt{5 + (2 \cdot \sqrt{2})}}

13.0753m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{14m}{\sqrt{5 + (2 \cdot \sqrt{2})}}

13.0753 = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{14}{\sqrt{5 + (2 \cdot \sqrt{2})}}

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Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{14m}{\sqrt{5 + (2 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{4 + (2 \cdot \sqrt{2})} \cdot \frac{14}{\sqrt{5 + (2 \cdot \sqrt{2})}}

Next Step Evaluate

∴

r m = 13.0752836353225m

LAST Step Rounding Answer

∴

r m = 13.0753m

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Rhombicuboctahedron

Go Midsphere Radius of Rhombicuboctahedron

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

Go Midsphere Radius of Rhombicuboctahedron given Total Surface Area

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Midsphere Radius of Rhombicuboctahedron given Volume

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

r m = \frac{\sqrt{4 + (2 \cdot \sqrt{2})}}{2} \cdot \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius?

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius evaluator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2)))) to evaluate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Rhombicuboctahedron. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

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

The formula of Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius is expressed as Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2)))). Here is an example- 13.07528 = sqrt(4+(2*sqrt(2)))*14/(sqrt(5+(2*sqrt(2)))).

How to calculate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius?

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

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

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

Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Midsphere Radius of Rhombicuboctahedron=sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

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

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

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

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

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