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Leg Length of Pentakis Dodecahedron given Midsphere 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{4 \cdot r m}{3 + \sqrt{5}})

l_Leg - Leg Length of Pentakis Dodecahedron?r_m - Midsphere Radius of Pentakis Dodecahedron?

Leg Length of Pentakis Dodecahedron given Midsphere Radius Example

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

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

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

8.8095 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot 13}{3 + \sqrt{5}})

8.8095m = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot 13m}{3 + \sqrt{5}})

8.8095 = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot 13}{3 + \sqrt{5}})

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Leg Length of Pentakis Dodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot 13m}{3 + \sqrt{5}})

Next Step Prepare to Evaluate

∴

l Leg = (\frac{3}{38}) \cdot (9 + \sqrt{5}) \cdot (\frac{4 \cdot 13}{3 + \sqrt{5}})

Next Step Evaluate

∴

l Leg = 8.80947613855393m

LAST Step Rounding Answer

∴

l Leg = 8.8095m

Leg Length of Pentakis Dodecahedron given Midsphere 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

Midsphere Radius of Pentakis Dodecahedron

Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis Dodecahedron 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 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 Insphere Radius

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}})})

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

Leg Length of Pentakis Dodecahedron given Midsphere Radius evaluator uses Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))) to evaluate the Leg Length of Pentakis Dodecahedron, Leg Length of Pentakis Dodecahedron given Midsphere Radius formula is defined as the length of the equal sides of the isosceles triangular face of Pentakis Dodecahedron, calculated using midsphere radius of Pentakis Dodecahedron. Leg Length of Pentakis Dodecahedron is denoted by l_Leg symbol.

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

FAQs on Leg Length of Pentakis Dodecahedron given Midsphere Radius

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

The formula of Leg Length of Pentakis Dodecahedron given Midsphere Radius is expressed as Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))). Here is an example- 8.809476 = (3/38)*(9+sqrt(5))*((4*13)/(3+sqrt(5))).

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

With Midsphere Radius of Pentakis Dodecahedron (r_m) we can find Leg Length of Pentakis Dodecahedron given Midsphere Radius using the formula - Leg Length of Pentakis Dodecahedron = (3/38)*(9+sqrt(5))*((4*Midsphere Radius of Pentakis Dodecahedron)/(3+sqrt(5))). 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 Midsphere Radius be negative?

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

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

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

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