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Face Perimeter of Dodecahedron given Face Diagonal 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 d Face}{1 + \sqrt{5}}

P_Face - Face Perimeter of Dodecahedron?d_Face - Face Diagonal of Dodecahedron?

Face Perimeter of Dodecahedron given Face Diagonal Example

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

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

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

49.4427 = \frac{10 \cdot 16}{1 + \sqrt{5}}

49.4427m = \frac{10 \cdot 16m}{1 + \sqrt{5}}

49.4427 = \frac{10 \cdot 16}{1 + \sqrt{5}}

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Face Perimeter of Dodecahedron given Face Diagonal Solution

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

FIRST Step Consider the formula

P Face = \frac{10 \cdot d Face}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

P Face = \frac{10 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

P Face = \frac{10 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

P Face = 49.4427190999916m

LAST Step Rounding Answer

∴

P Face = 49.4427m

Face Perimeter of Dodecahedron given Face Diagonal 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

Face Diagonal of Dodecahedron

The Face Diagonal of Dodecahedron is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron.

Symbol: d_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Diagonal 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 Face Diagonal?

Face Perimeter of Dodecahedron given Face Diagonal evaluator uses Face Perimeter of Dodecahedron = (10*Face Diagonal of Dodecahedron)/(1+sqrt(5)) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Face Diagonal formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the face diagonal of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Face Diagonal

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

The formula of Face Perimeter of Dodecahedron given Face Diagonal is expressed as Face Perimeter of Dodecahedron = (10*Face Diagonal of Dodecahedron)/(1+sqrt(5)). Here is an example- 49.44272 = (10*16)/(1+sqrt(5)).

How to calculate Face Perimeter of Dodecahedron given Face Diagonal?

With Face Diagonal of Dodecahedron (d_Face) we can find Face Perimeter of Dodecahedron given Face Diagonal using the formula - Face Perimeter of Dodecahedron = (10*Face Diagonal of Dodecahedron)/(1+sqrt(5)). 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 Face Diagonal be negative?

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

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

Face Perimeter of Dodecahedron given Face Diagonal 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 Face Diagonal can be measured.

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