Midsphere Radius of Hexakis Icosahedron given Medium Edge Calculator

✖Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.ⓘ Medium Edge of Hexakis Icosahedron [l_e(Medium)]

+10%

-10%

✖Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Hexakis Icosahedron given Medium Edge [r_m]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Midsphere Radius of Hexakis Icosahedron given Medium Edge Solution

STEP 0: Pre-Calculation Summary

Formula Used

Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
r_m = ((5+(3*sqrt(5)))/8)*((22*l_e(Medium))/(3*(4+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 Hexakis Icosahedron - (Measured in Meter) - Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere.
Medium Edge of Hexakis Icosahedron - (Measured in Meter) - Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.

STEP 1: Convert Input(s) to Base Unit

Medium Edge of Hexakis Icosahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_m = ((5+(3*sqrt(5)))/8)*((22*l_e(Medium))/(3*(4+sqrt(5)))) --> ((5+(3*sqrt(5)))/8)*((22*9)/(3*(4+sqrt(5))))

Evaluating ... ...

r_m = 15.4893568818739

STEP 3: Convert Result to Output's Unit

15.4893568818739 Meter --> No Conversion Required

FINAL ANSWER

15.4893568818739 ≈ 15.48936 Meter <-- Midsphere Radius of Hexakis Icosahedron

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Hexakis Icosahedron » Radius of Hexakis Icosahedron » Midsphere Radius of Hexakis Icosahedron » Midsphere Radius of Hexakis Icosahedron given Medium Edge

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Midsphere Radius of Hexakis Icosahedron Calculators

Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))

Midsphere Radius of Hexakis Icosahedron given Medium Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Midsphere Radius of Hexakis Icosahedron given Short Edge

LaTeX Go Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))

Midsphere Radius of Hexakis Icosahedron

LaTeX Go Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

Midsphere Radius of Hexakis Icosahedron given Medium Edge Formula

LaTeX Go

Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
r_m = ((5+(3*sqrt(5)))/8)*((22*l_e(Medium))/(3*(4+sqrt(5))))

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 Midsphere Radius of Hexakis Icosahedron given Medium Edge?

Midsphere Radius of Hexakis Icosahedron given Medium Edge calculator uses Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))) to calculate the Midsphere Radius of Hexakis Icosahedron, Midsphere Radius of Hexakis Icosahedron given Medium Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the medium edge of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

How to calculate Midsphere Radius of Hexakis Icosahedron given Medium Edge using this online calculator? To use this online calculator for Midsphere Radius of Hexakis Icosahedron given Medium Edge, enter Medium Edge of Hexakis Icosahedron (l_e(Medium)) and hit the calculate button. Here is how the Midsphere Radius of Hexakis Icosahedron given Medium Edge calculation can be explained with given input values -> 15.48936 = ((5+(3*sqrt(5)))/8)*((22*9)/(3*(4+sqrt(5)))).

FAQ

What is Midsphere Radius of Hexakis Icosahedron given Medium Edge?

Midsphere Radius of Hexakis Icosahedron given Medium Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the medium edge of Hexakis Icosahedron and is represented as r_m = ((5+(3*sqrt(5)))/8)*((22*l_e(Medium))/(3*(4+sqrt(5)))) or Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))). Medium Edge of Hexakis Icosahedron is the length of the edge that connects two non-adjacent and non-opposite vertices of the Hexakis Icosahedron.

How to calculate Midsphere Radius of Hexakis Icosahedron given Medium Edge?

Midsphere Radius of Hexakis Icosahedron given Medium Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the medium edge of Hexakis Icosahedron is calculated using Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5)))). To calculate Midsphere Radius of Hexakis Icosahedron given Medium Edge, you need Medium Edge of Hexakis Icosahedron (l_e(Medium)). With our tool, you need to enter the respective value for Medium 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 Midsphere Radius of Hexakis Icosahedron?

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

Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron = ((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

Home

FREE PDFs

🔍 Search