Midsphere Radius of Hexakis Icosahedron given Total Surface Area Calculator

✖Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.ⓘ Total Surface Area of Hexakis Icosahedron [TSA]

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✖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 Total Surface Area [r_m]

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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))
r_m = 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

r_m = 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 ... ...

r_m = 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 00.020 seconds)

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< 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 Total Surface Area Formula

LaTeX Go

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

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