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Face Area of Dodecahedron given Perimeter Formula

GoFace Area of Dodecahedron Formula

GoFace Area of Dodecahedron given Circumsphere Radius Formula

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

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{P}{30})}^{2}

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

Face Area of Dodecahedron given Perimeter Example

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

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

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

172.0477 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

172.0477m² = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

172.0477 = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

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Face Area of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{P}{30})}^{2}

Next Step Substitute values of Variables

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300m}{30})}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{300}{30})}^{2}

Next Step Evaluate

∴

A Face = 172.047740058897m²

LAST Step Rounding Answer

∴

A Face = 172.0477m²

Face Area of Dodecahedron given Perimeter Formula Elements

Variables

Functions

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

Perimeter of Dodecahedron

Perimeter of Dodecahedron is the sum of the total distance around all the edges of the Dodecahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 Area of Dodecahedron

Go Face Area of Dodecahedron

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {l e}^{2}

Go Face Area of Dodecahedron given Circumsphere Radius

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{2}

Go Face Area of Dodecahedron given Total Surface Area

A Face = \frac{TSA}{12}

Go Face Area of Dodecahedron given Face Diagonal

A Face = \frac{1}{4} \cdot \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{2 \cdot d Face}{1 + \sqrt{5}})}^{2}

How to Evaluate Face Area of Dodecahedron given Perimeter?

Face Area of Dodecahedron given Perimeter evaluator uses Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2 to evaluate the Face Area of Dodecahedron, The Face Area of Dodecahedron given Perimeter formula is defined as the quantity of plane enclosed by any square face of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Face Area of Dodecahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Dodecahedron given Perimeter

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

The formula of Face Area of Dodecahedron given Perimeter is expressed as Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2. Here is an example- 172.0477 = 1/4*sqrt(25+(10*sqrt(5)))*(300/30)^2.

How to calculate Face Area of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Face Area of Dodecahedron given Perimeter using the formula - Face Area of Dodecahedron = 1/4*sqrt(25+(10*sqrt(5)))*(Perimeter of Dodecahedron/30)^2. This formula also uses Square Root (sqrt) function(s).

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

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

Face Area of Dodecahedron=1/4*sqrt(25+(10*sqrt(5)))*Edge Length of Dodecahedron^2
Face Area of Dodecahedron=1/4*sqrt(25+(10*sqrt(5)))*((4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^2
Face Area of Dodecahedron=Total Surface Area of Dodecahedron/12

Can the Face Area of Dodecahedron given Perimeter be negative?

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

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

Face Area of Dodecahedron given Perimeter is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Face Area of Dodecahedron given Perimeter can be measured.

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