Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Calculator

✖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.ⓘ Circumsphere Radius of Rhombicuboctahedron [r_c]

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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.ⓘ Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius [r_m]

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Formula

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Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

Formula

`"r"_{"m"} = sqrt(4+(2*sqrt(2)))*"r"_{"c"}/(sqrt(5+(2*sqrt(2))))`

Example

`"13.07528m"=sqrt(4+(2*sqrt(2)))*"14m"/(sqrt(5+(2*sqrt(2))))`

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Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))
r_m = sqrt(4+(2*sqrt(2)))*r_c/(sqrt(5+(2*sqrt(2))))
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Midsphere Radius of Rhombicuboctahedron - (Measured in Meter) - 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.
Circumsphere Radius of Rhombicuboctahedron - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Rhombicuboctahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(4+(2*sqrt(2)))*r_c/(sqrt(5+(2*sqrt(2)))) --> sqrt(4+(2*sqrt(2)))*14/(sqrt(5+(2*sqrt(2))))

Evaluating ... ...

r_m = 13.0752836353225

STEP 3: Convert Result to Output's Unit

13.0752836353225 Meter --> No Conversion Required

FINAL ANSWER

13.0752836353225 ≈ 13.07528 Meter <-- Midsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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< 5 Midsphere Radius of Rhombicuboctahedron Calculators

Midsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Total Surface Area

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))

Midsphere Radius of Rhombicuboctahedron given Volume

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Midsphere Radius of Rhombicuboctahedron

Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius Formula

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2))))
r_m = sqrt(4+(2*sqrt(2)))*r_c/(sqrt(5+(2*sqrt(2))))

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius?

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius calculator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2)))) to calculate 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 calculate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Rhombicuboctahedron (r_c) and hit the calculate button. Here is how the Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 13.07528 = sqrt(4+(2*sqrt(2)))*14/(sqrt(5+(2*sqrt(2)))).

FAQ

What is Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius?

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 and is represented as r_m = sqrt(4+(2*sqrt(2)))*r_c/(sqrt(5+(2*sqrt(2)))) or Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2)))). 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.

How to calculate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius?

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 is calculated using Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))*Circumsphere Radius of Rhombicuboctahedron/(sqrt(5+(2*sqrt(2)))). To calculate Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Rhombicuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Rhombicuboctahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Midsphere Radius of Rhombicuboctahedron?

In this formula, Midsphere Radius of Rhombicuboctahedron uses Circumsphere Radius of Rhombicuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

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)
Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

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