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Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius Formula

GoSnub Dodecahedron Edge of Pentagonal Hexecontahedron given Long Edge Formula

GoSnub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area Formula

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Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron. Check FAQs

l e(Snub Dodecahedron) = \frac{r i \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

l_{e(Snub Dodecahedron)} - Snub Dodecahedron Edge Pentagonal Hexecontahedron?r_i - Insphere Radius of Pentagonal Hexecontahedron?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius Example

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Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius equation looks like with Values.

Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius equation looks like with Units.

Here is how the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius equation looks like.

6.8632 = \frac{14 \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

6.8632m = \frac{14m \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

6.8632 = \frac{14 \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

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Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius?

FIRST Step Consider the formula

l e(Snub Dodecahedron) = \frac{r i \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Substitute values of Variables

∴

l e(Snub Dodecahedron) = \frac{14m \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Prepare to Evaluate

∴

l e(Snub Dodecahedron) = \frac{14 \cdot 2}{\sqrt{\frac{1 + 0.4715756}{(1 - 0.4715756) \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Next Step Evaluate

∴

l e(Snub Dodecahedron) = 6.8631756113456m

LAST Step Rounding Answer

∴

l e(Snub Dodecahedron) = 6.8632m

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius Formula Elements

Variables

Functions

Snub Dodecahedron Edge Pentagonal Hexecontahedron

Snub Dodecahedron Edge Pentagonal Hexecontahedron is the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron.

Symbol: l_{e(Snub Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Snub Dodecahedron Edge Pentagonal Hexecontahedron

Insphere Radius of Pentagonal Hexecontahedron

Insphere Radius of Pentagonal Hexecontahedron is the radius of the sphere that is contained by the Pentagonal Hexecontahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Pentagonal Hexecontahedron

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 Snub Dodecahedron Edge Pentagonal Hexecontahedron

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Long Edge

l e(Snub Dodecahedron) = \frac{31 \cdot l e(Long)}{((7 \cdot [phi] + 2) + (5 \cdot [phi] - 3) + 2 \cdot (8 - 3 \cdot [phi])) \cdot \sqrt{2 + 2 \cdot (0.4715756)}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Total Surface Area

l e(Snub Dodecahedron) = \sqrt{\frac{TSA \cdot (1 - 2 \cdot {0.4715756}^{2})}{30 \cdot (2 + 3 \cdot 0.4715756) \cdot \sqrt{1 - {0.4715756}^{2}}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Volume

l e(Snub Dodecahedron) = {(\frac{V \cdot (1 - 2 \cdot {0.4715756}^{2}) \cdot \sqrt{1 - 2 \cdot 0.4715756}}{5 \cdot (1 + 0.4715756) \cdot (2 + 3 \cdot 0.4715756)})}^{\frac{1}{3}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

Go Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Midsphere Radius

l e(Snub Dodecahedron) = \frac{r m}{\sqrt{\frac{1 + 0.4715756}{2 \cdot (1 - 2 \cdot 0.4715756)}}} \cdot \sqrt{2 + 2 \cdot (0.4715756)}

How to Evaluate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius evaluator uses Snub Dodecahedron Edge Pentagonal Hexecontahedron = (Insphere Radius of Pentagonal Hexecontahedron*2)/(sqrt((1+0.4715756)/((1-0.4715756)*(1-2*0.4715756))))*sqrt(2+2*(0.4715756)) to evaluate the Snub Dodecahedron Edge Pentagonal Hexecontahedron, Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius formula is defined as the length of any edge of the Snub Dodecahedron of which the dual body is the Pentagonal Hexecontahedron, calculated using insphere radius of Pentagonal Hexecontahedron. Snub Dodecahedron Edge Pentagonal Hexecontahedron is denoted by l_{e(Snub Dodecahedron)} symbol.

How to evaluate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius, enter Insphere Radius of Pentagonal Hexecontahedron (r_i) and hit the calculate button.

FAQs on Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius

What is the formula to find Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius?

The formula of Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius is expressed as Snub Dodecahedron Edge Pentagonal Hexecontahedron = (Insphere Radius of Pentagonal Hexecontahedron*2)/(sqrt((1+0.4715756)/((1-0.4715756)*(1-2*0.4715756))))*sqrt(2+2*(0.4715756)). Here is an example- 6.863176 = (14*2)/(sqrt((1+0.4715756)/((1-0.4715756)*(1-2*0.4715756))))*sqrt(2+2*(0.4715756)).

How to calculate Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius?

With Insphere Radius of Pentagonal Hexecontahedron (r_i) we can find Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius using the formula - Snub Dodecahedron Edge Pentagonal Hexecontahedron = (Insphere Radius of Pentagonal Hexecontahedron*2)/(sqrt((1+0.4715756)/((1-0.4715756)*(1-2*0.4715756))))*sqrt(2+2*(0.4715756)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Snub Dodecahedron Edge Pentagonal Hexecontahedron?

Here are the different ways to Calculate Snub Dodecahedron Edge Pentagonal Hexecontahedron-

Snub Dodecahedron Edge Pentagonal Hexecontahedron=(31*Long Edge of Pentagonal Hexecontahedron)/(((7*[phi]+2)+(5*[phi]-3)+2*(8-3*[phi]))*sqrt(2+2*(0.4715756)))*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron=sqrt((Total Surface Area of Pentagonal Hexecontahedron*(1-2*0.4715756^2))/(30*(2+3*0.4715756)*sqrt(1-0.4715756^2)))*sqrt(2+2*(0.4715756))
Snub Dodecahedron Edge Pentagonal Hexecontahedron=((Volume of Pentagonal Hexecontahedron*(1-2*0.4715756^2)*sqrt(1-2*0.4715756))/(5*(1+0.4715756)*(2+3*0.4715756)))^(1/3)*sqrt(2+2*(0.4715756))

Can the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius be negative?

No, the Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius?

Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Snub Dodecahedron Edge of Pentagonal Hexecontahedron given Insphere Radius can be measured.

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