Midsphere Radius of Rhombic Triacontahedron Calculator

✖Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.ⓘ Edge Length of Rhombic Triacontahedron [l_e]

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

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Midsphere Radius of Rhombic Triacontahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))
r_m = l_e/5*(5+sqrt(5))
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 Rhombic Triacontahedron - (Measured in Meter) - Midsphere Radius of Rhombic Triacontahedron is the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere.
Edge Length of Rhombic Triacontahedron - (Measured in Meter) - Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Rhombic Triacontahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

r_m = 14.4721359549996

STEP 3: Convert Result to Output's Unit

14.4721359549996 Meter --> No Conversion Required

FINAL ANSWER

14.4721359549996 ≈ 14.47214 Meter <-- Midsphere Radius of Rhombic Triacontahedron

(Calculation completed in 00.006 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Vellore Institute of Technology (VIT), Bhopal

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< Midsphere Radius of Rhombic Triacontahedron Calculators

Midsphere Radius of Rhombic Triacontahedron given Insphere Radius

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5

Midsphere Radius of Rhombic Triacontahedron given Total Surface Area

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5

Midsphere Radius of Rhombic Triacontahedron given Volume

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

Midsphere Radius of Rhombic Triacontahedron

LaTeX Go Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))

Midsphere Radius of Rhombic Triacontahedron Formula

LaTeX Go

Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5))
r_m = l_e/5*(5+sqrt(5))

What is Rhombic Triacontahedron?

In geometry, the Rhombic Triacontahedron, sometimes simply called the triacontahedron as it is the most common thirty-faced polyhedron, is a convex polyhedron with 30 rhombic faces. It has 60 edges and 32 vertices of two types. It is a Catalan solid, and the dual polyhedron of the icosidodecahedron.

How to Calculate Midsphere Radius of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron calculator uses Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5)) to calculate the Midsphere Radius of Rhombic Triacontahedron, Midsphere Radius of Rhombic Triacontahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere. Midsphere Radius of Rhombic Triacontahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Rhombic Triacontahedron using this online calculator? To use this online calculator for Midsphere Radius of Rhombic Triacontahedron, enter Edge Length of Rhombic Triacontahedron (l_e) and hit the calculate button. Here is how the Midsphere Radius of Rhombic Triacontahedron calculation can be explained with given input values -> 14.47214 = 10/5*(5+sqrt(5)).

FAQ

What is Midsphere Radius of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere and is represented as r_m = l_e/5*(5+sqrt(5)) or Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5)). Edge Length of Rhombic Triacontahedron is the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron.

How to calculate Midsphere Radius of Rhombic Triacontahedron?

Midsphere Radius of Rhombic Triacontahedron formula is defined as the radius of the sphere for which all the edges of the Rhombic Triacontahedron become a tangent line on that sphere is calculated using Midsphere Radius of Rhombic Triacontahedron = Edge Length of Rhombic Triacontahedron/5*(5+sqrt(5)). To calculate Midsphere Radius of Rhombic Triacontahedron, you need Edge Length of Rhombic Triacontahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Rhombic Triacontahedron 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 Rhombic Triacontahedron?

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

Midsphere Radius of Rhombic Triacontahedron = (Insphere Radius of Rhombic Triacontahedron/sqrt((5+2*sqrt(5))/5))*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron = (Volume of Rhombic Triacontahedron/(4*sqrt(5+2*sqrt(5))))^(1/3)*(5+sqrt(5))/5
Midsphere Radius of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))*(5+sqrt(5))/5

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