Circumsphere Radius of Cuboctahedron Calculator

✖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.ⓘ Circumsphere Radius of Cuboctahedron [r_c]

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Formula

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Circumsphere Radius of Cuboctahedron

Formula

`"r"_{"c"} = 1*"l"_{"e"}`

Example

`"10m"=1*"10m"`

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Circumsphere Radius of Cuboctahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
r_c = 1*l_e
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

r_c = 1*l_e --> 1*10

Evaluating ... ...

r_c = 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)

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 7 Circumsphere Radius of Cuboctahedron Calculators

Circumsphere Radius of Cuboctahedron given Surface to Volume Ratio

Go 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

Go Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))

Circumsphere Radius of Cuboctahedron given Total Surface Area

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

Circumsphere Radius of Cuboctahedron given Volume

Go Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Circumsphere Radius of Cuboctahedron given Midsphere Radius

Go Circumsphere Radius of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

Circumsphere Radius of Cuboctahedron

Go Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron

Circumsphere Radius of Cuboctahedron given Perimeter

Go Circumsphere Radius of Cuboctahedron = Perimeter of Cuboctahedron/24

Circumsphere Radius of Cuboctahedron Formula

Circumsphere Radius of Cuboctahedron = 1*Edge Length of Cuboctahedron
r_c = 1*l_e

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 r_c 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 (l_e) 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 r_c = 1*l_e 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 (l_e). 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 6 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
Circumsphere Radius of Cuboctahedron = (18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron)
Circumsphere Radius of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Circumsphere Radius of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

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