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Face Perimeter of Dodecahedron given Insphere Radius Formula

GoFace Perimeter of Dodecahedron Formula

GoFace Perimeter of Dodecahedron given Face Area Formula

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Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron. Check FAQs

P Face = \frac{10 \cdot r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

P_Face - Face Perimeter of Dodecahedron?r_i - Insphere Radius of Dodecahedron?

Face Perimeter of Dodecahedron given Insphere Radius Example

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Here is how the Face Perimeter of Dodecahedron given Insphere Radius equation looks like with Values.

Here is how the Face Perimeter of Dodecahedron given Insphere Radius equation looks like with Units.

Here is how the Face Perimeter of Dodecahedron given Insphere Radius equation looks like.

49.3931 = \frac{10 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

49.3931m = \frac{10 \cdot 11m}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

49.3931 = \frac{10 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

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3D Geometry » fx Face Perimeter of Dodecahedron given Insphere Radius

Face Perimeter of Dodecahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Face Perimeter of Dodecahedron given Insphere Radius?

FIRST Step Consider the formula

P Face = \frac{10 \cdot r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Substitute values of Variables

∴

P Face = \frac{10 \cdot 11m}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Prepare to Evaluate

∴

P Face = \frac{10 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Evaluate

∴

P Face = 49.3930774237544m

LAST Step Rounding Answer

∴

P Face = 49.3931m

Face Perimeter of Dodecahedron given Insphere Radius Formula Elements

Variables

Functions

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of Dodecahedron

Insphere Radius of Dodecahedron

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of 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 Face Perimeter of Dodecahedron

Go Face Perimeter of Dodecahedron

P Face = 5 \cdot l e

Go Face Perimeter of Dodecahedron given Face Area

P Face = 5 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Face Perimeter of Dodecahedron given Total Surface Area

P Face = 5 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Face Perimeter of Dodecahedron given Circumsphere Radius

P Face = \frac{20 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

How to Evaluate Face Perimeter of Dodecahedron given Insphere Radius?

Face Perimeter of Dodecahedron given Insphere Radius evaluator uses Face Perimeter of Dodecahedron = (10*Insphere Radius of Dodecahedron)/(sqrt((25+(11*sqrt(5)))/10)) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Insphere Radius formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the insphere radius of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Insphere Radius

What is the formula to find Face Perimeter of Dodecahedron given Insphere Radius?

The formula of Face Perimeter of Dodecahedron given Insphere Radius is expressed as Face Perimeter of Dodecahedron = (10*Insphere Radius of Dodecahedron)/(sqrt((25+(11*sqrt(5)))/10)). Here is an example- 49.39308 = (10*11)/(sqrt((25+(11*sqrt(5)))/10)).

How to calculate Face Perimeter of Dodecahedron given Insphere Radius?

With Insphere Radius of Dodecahedron (r_i) we can find Face Perimeter of Dodecahedron given Insphere Radius using the formula - Face Perimeter of Dodecahedron = (10*Insphere Radius of Dodecahedron)/(sqrt((25+(11*sqrt(5)))/10)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Face Perimeter of Dodecahedron?

Here are the different ways to Calculate Face Perimeter of Dodecahedron-

Face Perimeter of Dodecahedron=5*Edge Length of Dodecahedron
Face Perimeter of Dodecahedron=5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron=5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Face Perimeter of Dodecahedron given Insphere Radius be negative?

No, the Face Perimeter of Dodecahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Face Perimeter of Dodecahedron given Insphere Radius?

Face Perimeter of 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 Face Perimeter of Dodecahedron given Insphere Radius can be measured.

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