Circumsphere Radius of Rhombicuboctahedron Calculator

✖Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Rhombicuboctahedron [r_c]

⎘ Copy

👎

Formula

✖

Circumsphere Radius of Rhombicuboctahedron

Formula

`"r"_{"c"} = sqrt(5+(2*sqrt(2)))/2*"l"_{"e"}`

Example

`"13.98966m"=sqrt(5+(2*sqrt(2)))/2*"10m"`

Calculator

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF PDF Image

Circumsphere Radius of Rhombicuboctahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
r_c = sqrt(5+(2*sqrt(2)))/2*l_e
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 Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.
Edge Length of Rhombicuboctahedron - (Measured in Meter) - Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombicuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_c = sqrt(5+(2*sqrt(2)))/2*l_e --> sqrt(5+(2*sqrt(2)))/2*10

Evaluating ... ...

r_c = 13.9896632596591

STEP 3: Convert Result to Output's Unit

13.9896632596591 Meter --> No Conversion Required

FINAL ANSWER

13.9896632596591 ≈ 13.98966 Meter <-- Circumsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Rhombicuboctahedron » Radius of Rhombicuboctahedron » Circumsphere Radius of Rhombicuboctahedron » Circumsphere Radius of Rhombicuboctahedron

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< 5 Circumsphere Radius of Rhombicuboctahedron Calculators

Circumsphere Radius of Rhombicuboctahedron given Surface to Volume Ratio

Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Circumsphere Radius of Rhombicuboctahedron given Total Surface Area

Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Circumsphere Radius of Rhombicuboctahedron given Midsphere Radius

Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))

Circumsphere Radius of Rhombicuboctahedron given Volume

Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Circumsphere Radius of Rhombicuboctahedron

Go Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Circumsphere Radius of Rhombicuboctahedron Formula

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
r_c = sqrt(5+(2*sqrt(2)))/2*l_e

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Circumsphere Radius of Rhombicuboctahedron?

Circumsphere Radius of Rhombicuboctahedron calculator uses Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron to calculate the Circumsphere Radius of Rhombicuboctahedron, Circumsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Rhombicuboctahedron is denoted by r_c symbol.

How to calculate Circumsphere Radius of Rhombicuboctahedron using this online calculator? To use this online calculator for Circumsphere Radius of Rhombicuboctahedron, enter Edge Length of Rhombicuboctahedron (l_e) and hit the calculate button. Here is how the Circumsphere Radius of Rhombicuboctahedron calculation can be explained with given input values -> 13.98966 = sqrt(5+(2*sqrt(2)))/2*10.

FAQ

What is Circumsphere Radius of Rhombicuboctahedron?

Circumsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere and is represented as r_c = sqrt(5+(2*sqrt(2)))/2*l_e or Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.

How to calculate Circumsphere Radius of Rhombicuboctahedron?

Circumsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere is calculated using Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. To calculate Circumsphere Radius of Rhombicuboctahedron, you need Edge Length of Rhombicuboctahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))*Midsphere Radius of Rhombicuboctahedron/(sqrt(4+(2*sqrt(2))))
Circumsphere Radius of Rhombicuboctahedron = sqrt(5+(2*sqrt(2)))/2*(3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2))))

Home

FREE PDFs

🔍 Search