Edge Length of Rhombic Triacontahedron given Insphere Radius Calculator

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

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✖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 given Insphere Radius [l_e]

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Edge Length of Rhombic Triacontahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5)
l_e = r_i/sqrt((5+(2*sqrt(5)))/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

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.
Insphere Radius of Rhombic Triacontahedron - (Measured in Meter) - Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Rhombic Triacontahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = r_i/sqrt((5+(2*sqrt(5)))/5) --> 14/sqrt((5+(2*sqrt(5)))/5)

Evaluating ... ...

l_e = 10.1715953920751

STEP 3: Convert Result to Output's Unit

10.1715953920751 Meter --> No Conversion Required

FINAL ANSWER

10.1715953920751 ≈ 10.1716 Meter <-- Edge Length of Rhombic Triacontahedron

(Calculation completed in 00.004 seconds)

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Walchand College of Engineering (WCE), Sangli

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< Edge Length of Rhombic Triacontahedron Calculators

Edge Length of Rhombic Triacontahedron given Volume

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

Edge Length of Rhombic Triacontahedron given Insphere Radius

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

Edge Length of Rhombic Triacontahedron given Total Surface Area

LaTeX Go Edge Length of Rhombic Triacontahedron = sqrt(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))

Edge Length of Rhombic Triacontahedron given Midsphere Radius

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

Edge Length of Rhombic Triacontahedron given Insphere Radius Formula

LaTeX Go

Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5)
l_e = r_i/sqrt((5+(2*sqrt(5)))/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 Edge Length of Rhombic Triacontahedron given Insphere Radius?

Edge Length of Rhombic Triacontahedron given Insphere Radius calculator uses Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5) to calculate the Edge Length of Rhombic Triacontahedron, Edge Length of Rhombic Triacontahedron given Insphere Radius formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triacontahedron. Edge Length of Rhombic Triacontahedron is denoted by l_e symbol.

How to calculate Edge Length of Rhombic Triacontahedron given Insphere Radius using this online calculator? To use this online calculator for Edge Length of Rhombic Triacontahedron given Insphere Radius, enter Insphere Radius of Rhombic Triacontahedron (r_i) and hit the calculate button. Here is how the Edge Length of Rhombic Triacontahedron given Insphere Radius calculation can be explained with given input values -> 10.1716 = 14/sqrt((5+(2*sqrt(5)))/5).

FAQ

What is Edge Length of Rhombic Triacontahedron given Insphere Radius?

Edge Length of Rhombic Triacontahedron given Insphere Radius formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triacontahedron and is represented as l_e = r_i/sqrt((5+(2*sqrt(5)))/5) or Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5). Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

How to calculate Edge Length of Rhombic Triacontahedron given Insphere Radius?

Edge Length of Rhombic Triacontahedron given Insphere Radius formula is defined as the length of any of the edges of a Rhombic Triacontahedron or the distance between any pair of adjacent vertices of the Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triacontahedron is calculated using Edge Length of Rhombic Triacontahedron = Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5). To calculate Edge Length of Rhombic Triacontahedron given Insphere Radius, you need Insphere Radius of Rhombic Triacontahedron (r_i). With our tool, you need to enter the respective value for Insphere Radius 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 Edge Length of Rhombic Triacontahedron?

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

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

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