Insphere Radius of Rhombic Dodecahedron given Midsphere Radius Calculator

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

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✖Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Rhombic Dodecahedron given Midsphere Radius [r_i]

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Insphere Radius of Rhombic Dodecahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron
r_i = sqrt(3)/2*r_m
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

Insphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Insphere Radius of Rhombic Dodecahedron is the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere.
Midsphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombic Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = sqrt(3)/2*r_m --> sqrt(3)/2*9

Evaluating ... ...

r_i = 7.79422863405995

STEP 3: Convert Result to Output's Unit

7.79422863405995 Meter --> No Conversion Required

FINAL ANSWER

7.79422863405995 ≈ 7.794229 Meter <-- Insphere Radius of Rhombic Dodecahedron

(Calculation completed in 00.020 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Indian Institute of Information Technology (IIIT), Bhopal

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< Insphere Radius of Rhombic Dodecahedron Calculators

Insphere Radius of Rhombic Dodecahedron given Total Surface Area

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))

Insphere Radius of Rhombic Dodecahedron given Volume

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron

LaTeX Go Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius Formula

LaTeX Go

Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron
r_i = sqrt(3)/2*r_m

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Insphere Radius of Rhombic Dodecahedron given Midsphere Radius?

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius calculator uses Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron to calculate the Insphere Radius of Rhombic Dodecahedron, Insphere Radius of Rhombic Dodecahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using midsphere radius of Rhombic Dodecahedron. Insphere Radius of Rhombic Dodecahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Rhombic Dodecahedron given Midsphere Radius using this online calculator? To use this online calculator for Insphere Radius of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button. Here is how the Insphere Radius of Rhombic Dodecahedron given Midsphere Radius calculation can be explained with given input values -> 7.794229 = sqrt(3)/2*9.

FAQ

What is Insphere Radius of Rhombic Dodecahedron given Midsphere Radius?

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using midsphere radius of Rhombic Dodecahedron and is represented as r_i = sqrt(3)/2*r_m or Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron. Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

How to calculate Insphere Radius of Rhombic Dodecahedron given Midsphere Radius?

Insphere Radius of Rhombic Dodecahedron given Midsphere Radius formula is defined as the radius of the sphere that is contained by the Rhombic Dodecahedron in such a way that all the faces are just touching the sphere, calculated using midsphere radius of Rhombic Dodecahedron is calculated using Insphere Radius of Rhombic Dodecahedron = sqrt(3)/2*Midsphere Radius of Rhombic Dodecahedron. To calculate Insphere Radius of Rhombic Dodecahedron given Midsphere Radius, you need Midsphere Radius of Rhombic Dodecahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Rhombic Dodecahedron 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 Insphere Radius of Rhombic Dodecahedron?

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

Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*Edge Length of Rhombic Dodecahedron
Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*sqrt(Total Surface Area of Rhombic Dodecahedron/(8*sqrt(2)))
Insphere Radius of Rhombic Dodecahedron = sqrt(6)/3*((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)

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