STEP 0: Pre-Calculation Summary
Formula Used
rm = sqrt(3)/2*rc
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Square root function, sqrt(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = sqrt(3)/2*rc --> sqrt(3)/2*10
Evaluating ... ...
rm = 8.66025403784439
STEP 3: Convert Result to Output's Unit
8.66025403784439 Meter --> No Conversion Required
8.66025403784439 8.660254 Meter <-- Midsphere Radius of Cuboctahedron
(Calculation completed in 00.003 seconds)
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Mumbai University (DJSCE), Mumbai
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## < 7 Midsphere Radius of Cuboctahedron Calculators

Midsphere Radius of Cuboctahedron given Surface to Volume Ratio
Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Midsphere Radius of Cuboctahedron given Lateral Surface Area
Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Midsphere Radius of Cuboctahedron given Total Surface Area
Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Midsphere Radius of Cuboctahedron given Volume
Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron
Midsphere Radius of Cuboctahedron given Perimeter
Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron

rm = sqrt(3)/2*rc

## 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.

Midsphere Radius of Cuboctahedron given Circumsphere Radius calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron to calculate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Cuboctahedron (rc) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 8.660254 = sqrt(3)/2*10.

### FAQ

The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron and is represented as rm = sqrt(3)/2*rc or Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron. 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.
The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron. To calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (rc). With our tool, you need to enter the respective value for Circumsphere 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 Midsphere Radius of Cuboctahedron?
In this formula, Midsphere Radius of Cuboctahedron uses Circumsphere Radius of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
• Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron
• Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
• Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
• Midsphere Radius of Cuboctahedron = sqrt(3)/2*(18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
• Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
• Midsphere Radius of Cuboctahedron = sqrt(3)/48*Perimeter of Cuboctahedron Let Others Know