Insphere Radius of Hexakis Icosahedron Calculator

✖Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.ⓘ Long Edge of Hexakis Icosahedron [l_e(Long)]

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✖Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.ⓘ Insphere Radius of Hexakis Icosahedron [r_i]

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Insphere Radius of Hexakis Icosahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron
r_i = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*l_e(Long)
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 Hexakis Icosahedron - (Measured in Meter) - Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touching the sphere.
Long Edge of Hexakis Icosahedron - (Measured in Meter) - Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Long Edge of Hexakis Icosahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_i = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*l_e(Long) --> ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*10

Evaluating ... ...

r_i = 14.5081724535461

STEP 3: Convert Result to Output's Unit

14.5081724535461 Meter --> No Conversion Required

FINAL ANSWER

14.5081724535461 ≈ 14.50817 Meter <-- Insphere Radius of Hexakis Icosahedron

(Calculation completed in 00.004 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 Hexakis Icosahedron Calculators

Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))

Insphere Radius of Hexakis Icosahedron given Medium Edge

LaTeX Go Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Insphere Radius of Hexakis Icosahedron given Short Edge

LaTeX Go Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Insphere Radius of Hexakis Icosahedron

LaTeX Go Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron Formula

LaTeX Go

Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron
r_i = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*l_e(Long)

What is Hexakis Icosahedron?

A Hexakis Icosahedron is a polyhedron with identical, but irregular triangle faces. It has thirty vertices with four edges, twenty vertices with six edges and twelve vertices with ten edges.
It has 120 faces, 180 edges, 62 vertices.

How to Calculate Insphere Radius of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron calculator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron to calculate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

How to calculate Insphere Radius of Hexakis Icosahedron using this online calculator? To use this online calculator for Insphere Radius of Hexakis Icosahedron, enter Long Edge of Hexakis Icosahedron (l_e(Long)) and hit the calculate button. Here is how the Insphere Radius of Hexakis Icosahedron calculation can be explained with given input values -> 14.50817 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*10.

FAQ

What is Insphere Radius of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere and is represented as r_i = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*l_e(Long) or Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron. Long Edge of Hexakis Icosahedron is the length of the longest edge that connects two opposite vertices of the Hexakis Icosahedron.

How to calculate Insphere Radius of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere is calculated using Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron. To calculate Insphere Radius of Hexakis Icosahedron, you need Long Edge of Hexakis Icosahedron (l_e(Long)). With our tool, you need to enter the respective value for Long Edge of Hexakis Icosahedron 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 Hexakis Icosahedron?

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

Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))

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