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Leg Length of Pentakis Dodecahedron given Insphere Radius Formula

GoLeg Length of Pentakis Dodecahedron Formula

GoLeg Length of Pentakis Dodecahedron given Total Surface Area Formula

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Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron. Check FAQs

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

l_Leg - Leg Length of Pentakis Dodecahedron?r_i - Insphere Radius of Pentakis Dodecahedron?

Leg Length of Pentakis Dodecahedron given Insphere Radius Example

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Here is how the Leg Length of Pentakis Dodecahedron given Insphere Radius equation looks like with Values.

Here is how the Leg Length of Pentakis Dodecahedron given Insphere Radius equation looks like with Units.

Here is how the Leg Length of Pentakis Dodecahedron given Insphere Radius equation looks like.

8.3026 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

8.3026m = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

8.3026 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

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Leg Length of Pentakis Dodecahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Leg Length of Pentakis Dodecahedron given Insphere Radius?

FIRST Step Consider the formula

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Substitute values of Variables

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Prepare to Evaluate

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Evaluate

∴

l Leg = 8.30259111213151m

LAST Step Rounding Answer

∴

l Leg = 8.3026m

Leg Length of Pentakis Dodecahedron given Insphere Radius Formula Elements

Variables

Functions

Leg Length of Pentakis Dodecahedron

Leg Length of Pentakis Dodecahedron is the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron.

Symbol: l_Leg

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Leg Length of Pentakis Dodecahedron

Insphere Radius of Pentakis Dodecahedron

Insphere Radius of Pentakis Dodecahedron is the radius of the sphere that is contained by the Pentakis Dodecahedron 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 Pentakis Dodecahedron

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 Leg Length of Pentakis Dodecahedron

Go Leg Length of Pentakis Dodecahedron

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot l Base

Go Leg Length of Pentakis Dodecahedron given Total Surface Area

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

Go Leg Length of Pentakis Dodecahedron given Volume

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot ({(\frac{76 \cdot V}{15 \cdot (23 + (11 \cdot \sqrt{5}))})}^{\frac{1}{3}})

Go Leg Length of Pentakis Dodecahedron given Midsphere Radius

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot r m}{3 + \sqrt{5}})

How to Evaluate Leg Length of Pentakis Dodecahedron given Insphere Radius?

Leg Length of Pentakis Dodecahedron given Insphere Radius evaluator uses Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))) to evaluate the Leg Length of Pentakis Dodecahedron, Leg Length of Pentakis Dodecahedron given Insphere Radius formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using insphere radius of Pentakis Dodecahedron. Leg Length of Pentakis Dodecahedron is denoted by l_Leg symbol.

How to evaluate Leg Length of Pentakis Dodecahedron given Insphere Radius using this online evaluator? To use this online evaluator for Leg Length of Pentakis Dodecahedron given Insphere Radius, enter Insphere Radius of Pentakis Dodecahedron (r_i) and hit the calculate button.

FAQs on Leg Length of Pentakis Dodecahedron given Insphere Radius

What is the formula to find Leg Length of Pentakis Dodecahedron given Insphere Radius?

The formula of Leg Length of Pentakis Dodecahedron given Insphere Radius is expressed as Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))). Here is an example- 8.302591 = (3/38)*(9+sqrt(5))*((2*12)/(3*(sqrt((81+(35*sqrt(5)))/218)))).

How to calculate Leg Length of Pentakis Dodecahedron given Insphere Radius?

With Insphere Radius of Pentakis Dodecahedron (r_i) we can find Leg Length of Pentakis Dodecahedron given Insphere Radius using the formula - Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Leg Length of Pentakis Dodecahedron?

Here are the different ways to Calculate Leg Length of Pentakis Dodecahedron-

Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*Base Length of Pentakis Dodecahedron
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*(sqrt((19*Total Surface Area of Pentakis Dodecahedron)/(15*(sqrt(413+(162*sqrt(5)))))))
Leg Length of Pentakis Dodecahedron=(3/38)*(9+sqrt(5))*(((76*Volume of Pentakis Dodecahedron)/(15*(23+(11*sqrt(5)))))^(1/3))

Can the Leg Length of Pentakis Dodecahedron given Insphere Radius be negative?

No, the Leg Length of Pentakis Dodecahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Leg Length of Pentakis Dodecahedron given Insphere Radius?

Leg Length of Pentakis Dodecahedron 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 Leg Length of Pentakis Dodecahedron given Insphere Radius can be measured.

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