Circumsphere Radius of Cuboctahedron given Lateral Surface Area Calculator

✖Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.ⓘ Lateral Surface Area of Cuboctahedron [LSA]

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✖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 given Lateral Surface Area [r_c]

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Formula

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Circumsphere Radius of Cuboctahedron given Lateral Surface Area

Formula

`"r"_{"c"} = sqrt("LSA"/((2*sqrt(3))+4))`

Example

`"10.02402m"=sqrt("750m"/((2*sqrt(3))+4))`

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Circumsphere Radius of Cuboctahedron given Lateral Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))
r_c = sqrt(LSA/((2*sqrt(3))+4))
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 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.
Lateral Surface Area of Cuboctahedron - (Measured in Meter) - Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Lateral Surface Area of Cuboctahedron: 750 Meter --> 750 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(LSA/((2*sqrt(3))+4)) --> sqrt(750/((2*sqrt(3))+4))

Evaluating ... ...

r_c = 10.0240185136337

STEP 3: Convert Result to Output's Unit

10.0240185136337 Meter --> No Conversion Required

FINAL ANSWER

10.0240185136337 ≈ 10.02402 Meter <-- Circumsphere Radius of Cuboctahedron

(Calculation completed in 00.004 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

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 given Lateral Surface Area Formula

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

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 Lateral Surface Area?

Circumsphere Radius of Cuboctahedron given Lateral Surface Area calculator uses Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)) to calculate the Circumsphere Radius of Cuboctahedron, The Circumsphere Radius of Cuboctahedron given Lateral 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 lateral surface area of Cuboctahedron. Circumsphere Radius of Cuboctahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Cuboctahedron given Lateral Surface Area using this online calculator? To use this online calculator for Circumsphere Radius of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button. Here is how the Circumsphere Radius of Cuboctahedron given Lateral Surface Area calculation can be explained with given input values -> 10.02402 = sqrt(750/((2*sqrt(3))+4)).

FAQ

What is Circumsphere Radius of Cuboctahedron given Lateral Surface Area?

The Circumsphere Radius of Cuboctahedron given Lateral 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 lateral surface area of Cuboctahedron and is represented as r_c = sqrt(LSA/((2*sqrt(3))+4)) or Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

How to calculate Circumsphere Radius of Cuboctahedron given Lateral Surface Area?

The Circumsphere Radius of Cuboctahedron given Lateral 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 lateral surface area of Cuboctahedron is calculated using Circumsphere Radius of Cuboctahedron = sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). To calculate Circumsphere Radius of Cuboctahedron given Lateral Surface Area, you need Lateral Surface Area of Cuboctahedron (LSA). With our tool, you need to enter the respective value for Lateral 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 Lateral 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 = 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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