Circumsphere Radius of Snub Cube given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
rc = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*rm/(sqrt(1/(4*(2-[Tribonacci_C]))))
This formula uses 1 Constants, 1 Functions, 2 Variables
Constants Used
[Tribonacci_C] - Tribonacci constant Value Taken As 1.839286755214161
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 Snub Cube - (Measured in Meter) - Circumsphere Radius of Snub Cube is the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere.
Midsphere Radius of Snub Cube - (Measured in Meter) - Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Snub Cube: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*rm/(sqrt(1/(4*(2-[Tribonacci_C])))) --> sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*12/(sqrt(1/(4*(2-[Tribonacci_C]))))
Evaluating ... ...
rc = 12.9283683134865
STEP 3: Convert Result to Output's Unit
12.9283683134865 Meter --> No Conversion Required
FINAL ANSWER
12.9283683134865 12.92837 Meter <-- Circumsphere Radius of Snub Cube
(Calculation completed in 00.004 seconds)

Credits

Creator Image
Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
Mona Gladys has created this Calculator and 2000+ more calculators!
Verifier Image
Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
Mridul Sharma has verified this Calculator and 1700+ more calculators!

Circumsphere Radius of Snub Cube Calculators

Circumsphere Radius of Snub Cube given Volume
​ LaTeX ​ Go Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3)
Circumsphere Radius of Snub Cube given Midsphere Radius
​ LaTeX ​ Go Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
Circumsphere Radius of Snub Cube given Total Surface Area
​ LaTeX ​ Go Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3)))))
Circumsphere Radius of Snub Cube
​ LaTeX ​ Go Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Edge Length of Snub Cube

Circumsphere Radius of Snub Cube given Midsphere Radius Formula

​LaTeX ​Go
Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C]))))
rc = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*rm/(sqrt(1/(4*(2-[Tribonacci_C]))))

What is a Snub Cube?

In geometry, the Snub Cube, or Snub Cuboctahedron, is an Archimedean solid with 38 faces - 6 squares and 32 equilateral triangles. It has 60 edges and 24 vertices. It is a chiral polyhedron. That is, it has two distinct forms, which are mirror images (or "enantiomorphs") of each other. The union of both forms is a compound of two Snub Cubes, and the convex hull of both sets of vertices is a truncated cuboctahedron. Kepler first named it in Latin as cubus simus in 1619 in his Harmonices Mundi. H. S. M. Coxeter, noting it could be derived equally from the octahedron as the cube, called it Snub Cuboctahedron.

How to Calculate Circumsphere Radius of Snub Cube given Midsphere Radius?

Circumsphere Radius of Snub Cube given Midsphere Radius calculator uses Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))) to calculate the Circumsphere Radius of Snub Cube, Circumsphere Radius of Snub Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Snub Cube. Circumsphere Radius of Snub Cube is denoted by rc symbol.

How to calculate Circumsphere Radius of Snub Cube given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Snub Cube given Midsphere Radius, enter Midsphere Radius of Snub Cube (rm) and hit the calculate button. Here is how the Circumsphere Radius of Snub Cube given Midsphere Radius calculation can be explained with given input values -> 12.92837 = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*12/(sqrt(1/(4*(2-[Tribonacci_C])))).

FAQ

What is Circumsphere Radius of Snub Cube given Midsphere Radius?
Circumsphere Radius of Snub Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Snub Cube and is represented as rc = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*rm/(sqrt(1/(4*(2-[Tribonacci_C])))) or Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))). Midsphere Radius of Snub Cube is the radius of the sphere for which all the edges of the Snub Cube become a tangent line on that sphere.
How to calculate Circumsphere Radius of Snub Cube given Midsphere Radius?
Circumsphere Radius of Snub Cube given Midsphere Radius formula is defined as the radius of the sphere that contains the Snub Cube in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of the Snub Cube is calculated using Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Midsphere Radius of Snub Cube/(sqrt(1/(4*(2-[Tribonacci_C])))). To calculate Circumsphere Radius of Snub Cube given Midsphere Radius, you need Midsphere Radius of Snub Cube (rm). With our tool, you need to enter the respective value for Midsphere Radius of Snub Cube 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 Snub Cube?
In this formula, Circumsphere Radius of Snub Cube uses Midsphere Radius of Snub Cube. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*Edge Length of Snub Cube
  • Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*sqrt(Total Surface Area of Snub Cube/(2*(3+(4*sqrt(3)))))
  • Circumsphere Radius of Snub Cube = sqrt((3-[Tribonacci_C])/(4*(2-[Tribonacci_C])))*((3*sqrt(2-[Tribonacci_C])*Volume of Snub Cube)/((3*sqrt([Tribonacci_C]-1))+(4*sqrt([Tribonacci_C]+1))))^(1/3)
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!