STEP 0: Pre-Calculation Summary
Formula Used
rc = 2/sqrt(3)*rm
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
Circumsphere Radius of Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.
Midsphere Radius of Cuboctahedron - (Measured in Meter) - Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Cuboctahedron: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = 2/sqrt(3)*rm --> 2/sqrt(3)*9
Evaluating ... ...
rc = 10.3923048454133
STEP 3: Convert Result to Output's Unit
10.3923048454133 Meter --> No Conversion Required
10.3923048454133 10.3923 Meter <-- Circumsphere Radius of Cuboctahedron
(Calculation completed in 00.004 seconds)
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Mumbai University (DJSCE), Mumbai
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## < 7 Circumsphere Radius of Cuboctahedron Calculators

Circumsphere Radius of Cuboctahedron given Surface to Volume Ratio
Circumsphere Radius of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Circumsphere Radius of Cuboctahedron given Lateral Surface Area
Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Circumsphere Radius of Cuboctahedron given Total Surface Area
Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Circumsphere Radius of Cuboctahedron given Volume
Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
Circumsphere Radius of Cuboctahedron given Perimeter
Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24

rc = 2/sqrt(3)*rm

## What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

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

How to calculate Circumsphere Radius of Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Circumsphere Radius of Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Cuboctahedron (rm) and hit the calculate button. Here is how the Circumsphere Radius of Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 10.3923 = 2/sqrt(3)*9.

### FAQ

The Circumsphere Radius of Cuboctahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of Cuboctahedron and is represented as rc = 2/sqrt(3)*rm or Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
The Circumsphere Radius of Cuboctahedron given Midsphere Radius formula is defined as the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere, and calculated using the midsphere radius of Cuboctahedron is calculated using Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron. To calculate Circumsphere Radius of Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Cuboctahedron (rm). With our tool, you need to enter the respective value for Midsphere Radius of Cuboctahedron 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 Cuboctahedron?
In this formula, Circumsphere Radius of Cuboctahedron uses Midsphere Radius of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
• Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
• Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
• Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24
• Circumsphere Radius of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
• Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
• Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
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