Circumsphere Radius of Cuboctahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
rc = 1*le
This formula uses 2 Variables
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.
Edge Length of Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = 1*le --> 1*10
Evaluating ... ...
rc = 10
STEP 3: Convert Result to Output's Unit
10 Meter --> No Conversion Required
FINAL ANSWER
10 Meter <-- Circumsphere Radius of Cuboctahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Nikhil
Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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Circumsphere Radius of Cuboctahedron Calculators

Circumsphere Radius of Cuboctahedron given Lateral Surface Area
​ LaTeX ​ Go Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
Circumsphere Radius of Cuboctahedron given Midsphere Radius
​ LaTeX ​ Go Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
Circumsphere Radius of Cuboctahedron
​ LaTeX ​ Go Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
Circumsphere Radius of Cuboctahedron given Perimeter
​ LaTeX ​ Go Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24

Circumsphere Radius of Cuboctahedron Formula

​LaTeX ​Go
Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
rc = 1*le

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.

How to Calculate Circumsphere Radius of Cuboctahedron?

Circumsphere Radius of Cuboctahedron calculator uses Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron to calculate the Circumsphere Radius of Cuboctahedron, The Circumsphere Radius of Cuboctahedron 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. Circumsphere Radius of Cuboctahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Cuboctahedron using this online calculator? To use this online calculator for Circumsphere Radius of Cuboctahedron, enter Edge Length of Cuboctahedron (le) and hit the calculate button. Here is how the Circumsphere Radius of Cuboctahedron calculation can be explained with given input values -> 10 = 1*10.

FAQ

What is Circumsphere Radius of Cuboctahedron?
The Circumsphere Radius of Cuboctahedron 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 is represented as rc = 1*le or Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron. Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.
How to calculate Circumsphere Radius of Cuboctahedron?
The Circumsphere Radius of Cuboctahedron 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 is calculated using Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron. To calculate Circumsphere Radius of Cuboctahedron, you need Edge Length of Cuboctahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
  • Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
  • Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24
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