Midsphere Radius of Hexakis Icosahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5))
rm = 1/8*sqrt(44/15*TSA/sqrt(10*(417+107*sqrt(5))))*(5+3*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.
Total Surface Area of Hexakis Icosahedron - (Measured in Square Meter) - Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Hexakis Icosahedron: 2760 Square Meter --> 2760 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
rm = 1/8*sqrt(44/15*TSA/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)) --> 1/8*sqrt(44/15*2760/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5))
Evaluating ... ...
rm = 14.6307529735517
STEP 3: Convert Result to Output's Unit
14.6307529735517 Meter --> No Conversion Required
FINAL ANSWER
14.6307529735517 14.63075 Meter <-- Midsphere Radius of Hexakis Icosahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has created this Calculator and 400+ more calculators!
Verified by Nayana Phulphagar
Institute of Chartered and Financial Analysts of India National college (ICFAI National College), HUBLI
Nayana Phulphagar has verified this Calculator and 1400+ more calculators!

8 Midsphere Radius of Hexakis Icosahedron Calculators

Midsphere Radius of Hexakis Icosahedron given Surface to Volume Ratio
Go Midsphere Radius of Hexakis Icosahedron = 1/8*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))*(5+3*sqrt(5))
Midsphere Radius of Hexakis Icosahedron given Total Surface Area
Go Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5))
Midsphere Radius of Hexakis Icosahedron given Insphere Radius
Go Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))
Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge
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 Volume
Go Midsphere Radius of Hexakis Icosahedron = 1/8*(88/25*Volume of Hexakis Icosahedron/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5))
Midsphere Radius of Hexakis Icosahedron given Medium Edge
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
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
Go Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))

Midsphere Radius of Hexakis Icosahedron given Total Surface Area Formula

Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5))
rm = 1/8*sqrt(44/15*TSA/sqrt(10*(417+107*sqrt(5))))*(5+3*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 Total Surface Area?

Midsphere Radius of Hexakis Icosahedron given Total Surface Area calculator uses Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)) to calculate the Midsphere Radius of Hexakis Icosahedron, The Midsphere Radius of Hexakis Icosahedron given Total Surface Area 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 total surface area of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by rm symbol.

How to calculate Midsphere Radius of Hexakis Icosahedron given Total Surface Area using this online calculator? To use this online calculator for Midsphere Radius of Hexakis Icosahedron given Total Surface Area, enter Total Surface Area of Hexakis Icosahedron (TSA) and hit the calculate button. Here is how the Midsphere Radius of Hexakis Icosahedron given Total Surface Area calculation can be explained with given input values -> 14.63075 = 1/8*sqrt(44/15*2760/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)).

FAQ

What is Midsphere Radius of Hexakis Icosahedron given Total Surface Area?
The Midsphere Radius of Hexakis Icosahedron given Total Surface Area 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 total surface area of Hexakis Icosahedron and is represented as rm = 1/8*sqrt(44/15*TSA/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)) or Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)). Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.
How to calculate Midsphere Radius of Hexakis Icosahedron given Total Surface Area?
The Midsphere Radius of Hexakis Icosahedron given Total Surface Area 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 total surface area of Hexakis Icosahedron is calculated using Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)). To calculate Midsphere Radius of Hexakis Icosahedron given Total Surface Area, you need Total Surface Area of Hexakis Icosahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area of Hexakis Icosahedron. We can use 7 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 = ((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
  • Midsphere Radius of Hexakis Icosahedron = Long Edge of Hexakis Icosahedron/8*(5+3*sqrt(5))
  • Midsphere Radius of Hexakis Icosahedron = 1/8*(88/25*Volume of Hexakis Icosahedron/sqrt(6*(185+82*sqrt(5))))^(1/3)*(5+3*sqrt(5))
  • Midsphere Radius of Hexakis Icosahedron = 1/8*(4*Insphere Radius of Hexakis Icosahedron/sqrt(15/241*(275+119*sqrt(5))))*(5+3*sqrt(5))
  • Midsphere Radius of Hexakis Icosahedron = 1/8*(6/5*sqrt(10*(417+107*sqrt(5)))/(Surface to Volume Ratio of Hexakis Icosahedron*sqrt(6*(185+82*sqrt(5)))))*(5+3*sqrt(5))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!