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Face Perimeter of Dodecahedron given Face Area Formula

GoFace Perimeter of Dodecahedron 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 = 5 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

P_Face - Face Perimeter of Dodecahedron?A_Face - Face Area of Dodecahedron?

Face Perimeter of Dodecahedron given Face Area Example

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

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

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

50.4272 = 5 \cdot \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272m = 5 \cdot \sqrt{\frac{4 \cdot 175m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

50.4272 = 5 \cdot \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

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Face Perimeter of Dodecahedron given Face Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Face = 5 \cdot \sqrt{\frac{4 \cdot 175m²}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Prepare to Evaluate

∴

P Face = 5 \cdot \sqrt{\frac{4 \cdot 175}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

Next Step Evaluate

∴

P Face = 50.427163791143m

LAST Step Rounding Answer

∴

P Face = 50.4272m

Face Perimeter of Dodecahedron given Face Area 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 Area of Dodecahedron

The Face Area of Dodecahedron is the amount of space occupied by any one of the 12 faces of Dodecahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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

Other formulas in Face Perimeter of Dodecahedron category

Go Perimeter of Dodecahedron

P = 30 \cdot l e

Go Perimeter of Dodecahedron given Circumsphere Radius

P = \frac{120 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Go Perimeter of Dodecahedron given Total Surface Area

P = 30 \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Face Perimeter of Dodecahedron given Face Area?

Face Perimeter of Dodecahedron given Face Area evaluator uses Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5))))) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Face Area formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the face area of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Face Area

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

The formula of Face Perimeter of Dodecahedron given Face Area is expressed as Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5))))). Here is an example- 50.42716 = 5*sqrt((4*175)/(sqrt(25+(10*sqrt(5))))).

How to calculate Face Perimeter of Dodecahedron given Face Area?

With Face Area of Dodecahedron (A_Face) we can find Face Perimeter of Dodecahedron given Face Area using the formula - Face Perimeter of Dodecahedron = 5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*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

Can the Face Perimeter of Dodecahedron given Face Area be negative?

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

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

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

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