## Circumsphere Radius of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
rc = sqrt(TSA/(2*(3+sqrt(3))))
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - Squre 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.
Total Surface Area of Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Cuboctahedron: 950 Square Meter --> 950 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rc = sqrt(TSA/(2*(3+sqrt(3)))) --> sqrt(950/(2*(3+sqrt(3))))
Evaluating ... ...
rc = 10.0189476027906
STEP 3: Convert Result to Output's Unit
10.0189476027906 Meter --> No Conversion Required
10.0189476027906 Meter <-- Circumsphere Radius of Cuboctahedron
(Calculation completed in 00.000 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 given Midsphere Radius
Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
Circumsphere Radius of Cuboctahedron
Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
Circumsphere Radius of Cuboctahedron given Perimeter
Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24

## Circumsphere Radius of Cuboctahedron given Total Surface Area Formula

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

## 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 given Total Surface Area?

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

How to calculate Circumsphere Radius of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Circumsphere Radius of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 10.01895 = sqrt(950/(2*(3+sqrt(3)))).

### FAQ

What is Circumsphere Radius of Cuboctahedron given Total Surface Area?
The Circumsphere Radius of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron and is represented as rc = sqrt(TSA/(2*(3+sqrt(3)))) or Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.
How to calculate Circumsphere Radius of Cuboctahedron given Total Surface Area?
The Circumsphere Radius of Cuboctahedron given Total Surface Area 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 total surface area of Cuboctahedron is calculated using Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). To calculate Circumsphere Radius of Cuboctahedron given Total Surface Area, you need Total Surface Area of Cuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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 = 2/sqrt(3)*Midsphere Radius of Cuboctahedron
• 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 = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
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