Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Calculator

✖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 [r_m]

+10%

-10%

✖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 given Midsphere Radius [r_c]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF PDF Image

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombicuboctahedron: 13 Meter --> 13 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(5+(2*sqrt(2)))*r_m/(sqrt(4+(2*sqrt(2)))) --> sqrt(5+(2*sqrt(2)))*13/(sqrt(4+(2*sqrt(2))))

Evaluating ... ...

r_c = 13.9193921199791

STEP 3: Convert Result to Output's Unit

13.9193921199791 Meter --> No Conversion Required

FINAL ANSWER

13.9193921199791 ≈ 13.91939 Meter <-- Circumsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Rhombicuboctahedron » Radius of Rhombicuboctahedron » Circumsphere Radius of Rhombicuboctahedron » Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Circumsphere Radius of Rhombicuboctahedron Calculators

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

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

Circumsphere Radius of Rhombicuboctahedron given Volume

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

Circumsphere Radius of Rhombicuboctahedron

LaTeX Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius Formula

LaTeX Go

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

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius calculator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2)))) to calculate 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 calculate Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius, enter Midsphere Radius of Rhombicuboctahedron (r_m) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius calculation can be explained with given input values -> 13.91939 = sqrt(5+(2*sqrt(2)))*13/(sqrt(4+(2*sqrt(2)))).

FAQ

What is Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius?

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

How to calculate Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius?

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 is calculated using Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2)))). To calculate Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius, you need Midsphere Radius of Rhombicuboctahedron (r_m). With our tool, you need to enter the respective value for Midsphere 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 Circumsphere Radius of Rhombicuboctahedron?

In this formula, Circumsphere Radius of Rhombicuboctahedron uses Midsphere Radius of Rhombicuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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)

Home

FREE PDFs

🔍 Search