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Midsphere Radius of Icosidodecahedron given Triangular Face Height Formula

GoMidsphere Radius of Icosidodecahedron Formula

GoMidsphere Radius of Icosidodecahedron given Total Surface Area Formula

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Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere. Check FAQs

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{h Triangle}{\sqrt{3}}

r_m - Midsphere Radius of Icosidodecahedron?h_Triangle - Triangular Face Height of Icosidodecahedron?

Midsphere Radius of Icosidodecahedron given Triangular Face Height Example

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Here is how the Midsphere Radius of Icosidodecahedron given Triangular Face Height equation looks like with Values.

Here is how the Midsphere Radius of Icosidodecahedron given Triangular Face Height equation looks like with Units.

Here is how the Midsphere Radius of Icosidodecahedron given Triangular Face Height equation looks like.

15.9921 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{9}{\sqrt{3}}

15.9921m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{9m}{\sqrt{3}}

15.9921 = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{9}{\sqrt{3}}

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Midsphere Radius of Icosidodecahedron given Triangular Face Height Solution

Follow our step by step solution on how to calculate Midsphere Radius of Icosidodecahedron given Triangular Face Height?

FIRST Step Consider the formula

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{h Triangle}{\sqrt{3}}

Next Step Substitute values of Variables

∴

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{9m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{9}{\sqrt{3}}

Next Step Evaluate

∴

r m = 15.9921127680175m

LAST Step Rounding Answer

∴

r m = 15.9921m

Midsphere Radius of Icosidodecahedron given Triangular Face Height Formula Elements

Variables

Functions

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Icosidodecahedron

Triangular Face Height of Icosidodecahedron

Triangular Face Height of Icosidodecahedron is the shortest distance between an edge and the opposite corner, of any of the triangular faces of the Icosidodecahedron.

Symbol: h_Triangle

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Triangular Face Height of Icosidodecahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Midsphere Radius of Icosidodecahedron

Go Midsphere Radius of Icosidodecahedron

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot l e

Go Midsphere Radius of Icosidodecahedron given Total Surface Area

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{(5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Midsphere Radius of Icosidodecahedron given Volume

r m = \frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{2} \cdot {(\frac{6 \cdot V}{45 + (17 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Midsphere Radius of Icosidodecahedron given Circumsphere Radius

r m = \sqrt{5 + (2 \cdot \sqrt{5})} \cdot \frac{r c}{1 + \sqrt{5}}

How to Evaluate Midsphere Radius of Icosidodecahedron given Triangular Face Height?

Midsphere Radius of Icosidodecahedron given Triangular Face Height evaluator uses Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Triangular Face Height of Icosidodecahedron/sqrt(3) to evaluate the Midsphere Radius of Icosidodecahedron, Midsphere Radius of Icosidodecahedron given Triangular Face Height formula is defined as the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line to that sphere, and calculated using the triangular face height of the Icosidodecahedron. Midsphere Radius of Icosidodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Icosidodecahedron given Triangular Face Height using this online evaluator? To use this online evaluator for Midsphere Radius of Icosidodecahedron given Triangular Face Height, enter Triangular Face Height of Icosidodecahedron (h_Triangle) and hit the calculate button.

FAQs on Midsphere Radius of Icosidodecahedron given Triangular Face Height

What is the formula to find Midsphere Radius of Icosidodecahedron given Triangular Face Height?

The formula of Midsphere Radius of Icosidodecahedron given Triangular Face Height is expressed as Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Triangular Face Height of Icosidodecahedron/sqrt(3). Here is an example- 15.99211 = sqrt(5+(2*sqrt(5)))*9/sqrt(3).

How to calculate Midsphere Radius of Icosidodecahedron given Triangular Face Height?

With Triangular Face Height of Icosidodecahedron (h_Triangle) we can find Midsphere Radius of Icosidodecahedron given Triangular Face Height using the formula - Midsphere Radius of Icosidodecahedron = sqrt(5+(2*sqrt(5)))*Triangular Face Height of Icosidodecahedron/sqrt(3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Icosidodecahedron?

Here are the different ways to Calculate Midsphere Radius of Icosidodecahedron-

Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*Edge Length of Icosidodecahedron
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*sqrt(Total Surface Area of Icosidodecahedron/((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))
Midsphere Radius of Icosidodecahedron=sqrt(5+(2*sqrt(5)))/2*((6*Volume of Icosidodecahedron)/(45+(17*sqrt(5))))^(1/3)

Can the Midsphere Radius of Icosidodecahedron given Triangular Face Height be negative?

No, the Midsphere Radius of Icosidodecahedron given Triangular Face Height, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Icosidodecahedron given Triangular Face Height?

Midsphere Radius of Icosidodecahedron given Triangular Face Height is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Icosidodecahedron given Triangular Face Height can be measured.

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