Midsphere Radius of Rhombicuboctahedron Calculator

✖Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.ⓘ Edge Length of Rhombicuboctahedron [l_e]

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

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Midsphere Radius of Rhombicuboctahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
r_m = sqrt(4+(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

Midsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that 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_m = sqrt(4+(2*sqrt(2)))/2*l_e --> sqrt(4+(2*sqrt(2)))/2*10

Evaluating ... ...

r_m = 13.0656296487638

STEP 3: Convert Result to Output's Unit

13.0656296487638 Meter --> No Conversion Required

FINAL ANSWER

13.0656296487638 ≈ 13.06563 Meter <-- Midsphere Radius of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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< Midsphere Radius of Rhombicuboctahedron Calculators

Midsphere Radius of Rhombicuboctahedron given Total Surface Area

LaTeX Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))

Midsphere Radius of Rhombicuboctahedron given Circumsphere Radius

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

Midsphere Radius of Rhombicuboctahedron given Volume

LaTeX Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)

Midsphere Radius of Rhombicuboctahedron

LaTeX Go Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron Formula

LaTeX Go

Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron
r_m = sqrt(4+(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 Midsphere Radius of Rhombicuboctahedron?

Midsphere Radius of Rhombicuboctahedron calculator uses Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron to calculate the Midsphere Radius of Rhombicuboctahedron, Midsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere. Midsphere Radius of Rhombicuboctahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombicuboctahedron using this online calculator? To use this online calculator for Midsphere Radius of Rhombicuboctahedron, enter Edge Length of Rhombicuboctahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Rhombicuboctahedron calculation can be explained with given input values -> 13.06563 = sqrt(4+(2*sqrt(2)))/2*10.

FAQ

What is Midsphere Radius of Rhombicuboctahedron?

Midsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere and is represented as r_m = sqrt(4+(2*sqrt(2)))/2*l_e or Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.

How to calculate Midsphere Radius of Rhombicuboctahedron?

Midsphere Radius of Rhombicuboctahedron formula is defined as the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere is calculated using Midsphere Radius of Rhombicuboctahedron = sqrt(4+(2*sqrt(2)))/2*Edge Length of Rhombicuboctahedron. To calculate Midsphere 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 Midsphere Radius of Rhombicuboctahedron?

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

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

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