Circumsphere Radius of Truncated Cuboctahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
rc = sqrt(13+(6*sqrt(2)))/2*le
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 Truncated Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Truncated Cuboctahedron is the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere.
Edge Length of Truncated Cuboctahedron - (Measured in Meter) - Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Truncated Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(13+(6*sqrt(2)))/2*le --> sqrt(13+(6*sqrt(2)))/2*10
Evaluating ... ...
rc = 23.1761091289277
STEP 3: Convert Result to Output's Unit
23.1761091289277 Meter --> No Conversion Required
FINAL ANSWER
23.1761091289277 23.17611 Meter <-- Circumsphere Radius of Truncated Cuboctahedron
(Calculation completed in 00.004 seconds)

Credits

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St Joseph's College (SJC), Bengaluru
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Indian Institute of Information Technology (IIIT), Bhopal
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5 Circumsphere Radius of Truncated Cuboctahedron Calculators

Circumsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio
Go Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))
Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area
Go Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Circumsphere Radius of Truncated Cuboctahedron given Midsphere Radius
Go Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))*Midsphere Radius of Truncated Cuboctahedron/(sqrt(12+(6*sqrt(2))))
Circumsphere Radius of Truncated Cuboctahedron given Volume
Go Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
Circumsphere Radius of Truncated Cuboctahedron
Go Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron

Circumsphere Radius of Truncated Cuboctahedron Formula

Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
rc = sqrt(13+(6*sqrt(2)))/2*le

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

How to Calculate Circumsphere Radius of Truncated Cuboctahedron?

Circumsphere Radius of Truncated Cuboctahedron calculator uses Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron to calculate the Circumsphere Radius of Truncated Cuboctahedron, Circumsphere Radius of Truncated Cuboctahedron formula is defined as the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Truncated Cuboctahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Truncated Cuboctahedron using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Cuboctahedron, enter Edge Length of Truncated Cuboctahedron (le) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Cuboctahedron calculation can be explained with given input values -> 23.17611 = sqrt(13+(6*sqrt(2)))/2*10.

FAQ

What is Circumsphere Radius of Truncated Cuboctahedron?
Circumsphere Radius of Truncated Cuboctahedron formula is defined as the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere and is represented as rc = sqrt(13+(6*sqrt(2)))/2*le or Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron. Edge Length of Truncated Cuboctahedron is the length of any edge of the Truncated Cuboctahedron.
How to calculate Circumsphere Radius of Truncated Cuboctahedron?
Circumsphere Radius of Truncated Cuboctahedron formula is defined as the radius of the sphere that contains the Truncated Cuboctahedron in such a way that all the vertices are lying on the sphere is calculated using Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron. To calculate Circumsphere Radius of Truncated Cuboctahedron, you need Edge Length of Truncated Cuboctahedron (le). With our tool, you need to enter the respective value for Edge Length of Truncated 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 Truncated Cuboctahedron?
In this formula, Circumsphere Radius of Truncated Cuboctahedron uses Edge Length of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
  • Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
  • Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))*Midsphere Radius of Truncated Cuboctahedron/(sqrt(12+(6*sqrt(2))))
  • Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))
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