Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius Calculator

✖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.ⓘ Circumsphere Radius of Truncated Cuboctahedron [r_c]

+10%

-10%

✖Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius [r_m]

⎘ Copy

👎

Formula

✖

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius

Formula

`"r"_{"m"} = sqrt(12+(6*sqrt(2)))*"r"_{"c"}/(sqrt(13+(6*sqrt(2))))`

Example

`"22.45837m"=sqrt(12+(6*sqrt(2)))*"23m"/(sqrt(13+(6*sqrt(2))))`

Calculator

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))
r_m = sqrt(12+(6*sqrt(2)))*r_c/(sqrt(13+(6*sqrt(2))))
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 Truncated Cuboctahedron - (Measured in Meter) - Midsphere Radius of Truncated Cuboctahedron is the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere.
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.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Truncated Cuboctahedron: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = sqrt(12+(6*sqrt(2)))*r_c/(sqrt(13+(6*sqrt(2)))) --> sqrt(12+(6*sqrt(2)))*23/(sqrt(13+(6*sqrt(2))))

Evaluating ... ...

r_m = 22.4583724536698

STEP 3: Convert Result to Output's Unit

22.4583724536698 Meter --> No Conversion Required

FINAL ANSWER

22.4583724536698 ≈ 22.45837 Meter <-- Midsphere Radius of Truncated Cuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Truncated Cuboctahedron » Radius of Truncated Cuboctahedron » Midsphere Radius of Truncated Cuboctahedron » Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 5 Midsphere Radius of Truncated Cuboctahedron Calculators

Midsphere Radius of Truncated Cuboctahedron given Surface to Volume Ratio

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))

Midsphere Radius of Truncated Cuboctahedron given Total Surface Area

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))

Midsphere Radius of Truncated Cuboctahedron given Volume

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)

Midsphere Radius of Truncated Cuboctahedron

Go Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius Formula

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2))))
r_m = sqrt(12+(6*sqrt(2)))*r_c/(sqrt(13+(6*sqrt(2))))

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 Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius?

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius calculator uses Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2)))) to calculate the Midsphere Radius of Truncated Cuboctahedron, Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Truncated Cuboctahedron. Midsphere Radius of Truncated Cuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Cuboctahedron (r_c) and hit the calculate button. Here is how the Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 22.45837 = sqrt(12+(6*sqrt(2)))*23/(sqrt(13+(6*sqrt(2)))).

FAQ

What is Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius?

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Truncated Cuboctahedron and is represented as r_m = sqrt(12+(6*sqrt(2)))*r_c/(sqrt(13+(6*sqrt(2)))) or Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2)))). 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.

How to calculate Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius?

Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius formula is defined as the radius of the sphere for which all the edges of the Truncated Cuboctahedron become a tangent line on that sphere, and calculated using the circumsphere radius of the Truncated Cuboctahedron is calculated using Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))*Circumsphere Radius of Truncated Cuboctahedron/(sqrt(13+(6*sqrt(2)))). To calculate Midsphere Radius of Truncated Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Truncated Cuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Midsphere Radius of Truncated Cuboctahedron?

In this formula, Midsphere Radius of Truncated Cuboctahedron uses Circumsphere Radius of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -

Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*Edge Length of Truncated Cuboctahedron
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*sqrt(Total Surface Area of Truncated Cuboctahedron/(12*(2+sqrt(2)+sqrt(3))))
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(1/3)
Midsphere Radius of Truncated Cuboctahedron = sqrt(12+(6*sqrt(2)))/2*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))

Home

FREE PDFs

🔍 Search