Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
rc = sqrt(13+(6*sqrt(2)))/2*sqrt(TSA/(12*(2+sqrt(2)+sqrt(3))))
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.
Total Surface Area of Truncated Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Truncated Cuboctahedron is the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Truncated Cuboctahedron: 6200 Square Meter --> 6200 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(13+(6*sqrt(2)))/2*sqrt(TSA/(12*(2+sqrt(2)+sqrt(3)))) --> sqrt(13+(6*sqrt(2)))/2*sqrt(6200/(12*(2+sqrt(2)+sqrt(3))))
Evaluating ... ...
rc = 23.222004374519
STEP 3: Convert Result to Output's Unit
23.222004374519 Meter --> No Conversion Required
FINAL ANSWER
23.222004374519 23.222 Meter <-- Circumsphere Radius of Truncated Cuboctahedron
(Calculation completed in 00.004 seconds)

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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 given Total Surface Area Formula

Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
rc = sqrt(13+(6*sqrt(2)))/2*sqrt(TSA/(12*(2+sqrt(2)+sqrt(3))))

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 given Total Surface Area?

Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area calculator uses Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3)))) to calculate the Circumsphere Radius of Truncated Cuboctahedron, Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area 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 calculated using the total surface area of the Truncated Cuboctahedron. Circumsphere Radius of Truncated Cuboctahedron is denoted by rc symbol.

How to calculate Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area, enter Total Surface Area of Truncated Cuboctahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 23.222 = sqrt(13+(6*sqrt(2)))/2*sqrt(6200/(12*(2+sqrt(2)+sqrt(3)))).

FAQ

What is Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area?
Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area 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 calculated using the total surface area of the Truncated Cuboctahedron and is represented as rc = sqrt(13+(6*sqrt(2)))/2*sqrt(TSA/(12*(2+sqrt(2)+sqrt(3)))) or Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3)))). Total Surface Area of Truncated Cuboctahedron is the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron.
How to calculate Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area?
Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area 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 calculated using the total surface area of the Truncated Cuboctahedron is calculated using Circumsphere Radius of Truncated Cuboctahedron = sqrt(13+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3)))). To calculate Circumsphere Radius of Truncated Cuboctahedron given Total Surface Area, you need Total Surface Area of Truncated Cuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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*Edge Length of Truncated Cuboctahedron
  • 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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