Midsphere Radius of Cuboctahedron given Circumsphere Radius 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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✖Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.ⓘ Midsphere Radius of Cuboctahedron given Circumsphere Radius [r_m]

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Midsphere Radius of Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Midsphere Radius of Cuboctahedron - (Measured in Meter) - Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(3)/2*r_c --> sqrt(3)/2*10

Evaluating ... ...

r_m = 8.66025403784439

STEP 3: Convert Result to Output's Unit

8.66025403784439 Meter --> No Conversion Required

FINAL ANSWER

8.66025403784439 ≈ 8.660254 Meter <-- Midsphere Radius of Cuboctahedron

(Calculation completed in 00.004 seconds)

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Mumbai University (DJSCE), Mumbai

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< Midsphere Radius of Cuboctahedron Calculators

Midsphere Radius of Cuboctahedron given Total Surface Area

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

Midsphere Radius of Cuboctahedron given Volume

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

Midsphere Radius of Cuboctahedron given Circumsphere Radius

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

Midsphere Radius of Cuboctahedron

LaTeX Go Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron

Midsphere Radius of Cuboctahedron given Circumsphere Radius Formula

LaTeX Go

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

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 Midsphere Radius of Cuboctahedron given Circumsphere Radius?

Midsphere Radius of Cuboctahedron given Circumsphere Radius calculator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron to calculate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Cuboctahedron (r_c) and hit the calculate button. Here is how the Midsphere Radius of Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 8.660254 = sqrt(3)/2*10.

FAQ

What is Midsphere Radius of Cuboctahedron given Circumsphere Radius?

The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron and is represented as r_m = sqrt(3)/2*r_c or Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron. 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.

How to calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius?

The Midsphere Radius of Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using circumsphere radius of Cuboctahedron is calculated using Midsphere Radius of Cuboctahedron = sqrt(3)/2*Circumsphere Radius of Cuboctahedron. To calculate Midsphere Radius of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Midsphere Radius of Cuboctahedron?

In this formula, Midsphere Radius of Cuboctahedron uses Circumsphere Radius of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Cuboctahedron = sqrt(3)/2*Edge Length of Cuboctahedron
Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Midsphere Radius of Cuboctahedron = sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

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