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Face Area of Icosahedron given Face Perimeter Formula

GoFace Area of Icosahedron Formula

GoFace Area of Icosahedron given Midsphere Radius Formula

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

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{P Face}{3})}^{2}

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

Face Area of Icosahedron given Face Perimeter Example

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

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

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

43.3013 = \frac{\sqrt{3}}{4} \cdot {(\frac{30}{3})}^{2}

43.3013m² = \frac{\sqrt{3}}{4} \cdot {(\frac{30m}{3})}^{2}

43.3013 = \frac{\sqrt{3}}{4} \cdot {(\frac{30}{3})}^{2}

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Face Area of Icosahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{P Face}{3})}^{2}

Next Step Substitute values of Variables

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{30m}{3})}^{2}

Next Step Prepare to Evaluate

∴

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{30}{3})}^{2}

Next Step Evaluate

∴

A Face = 43.3012701892219m²

LAST Step Rounding Answer

∴

A Face = 43.3013m²

Face Area of Icosahedron given Face Perimeter Formula Elements

Variables

Functions

Face Area of Icosahedron

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

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area of Icosahedron

Face Perimeter of Icosahedron

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

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of Icosahedron

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 Icosahedron

Go Face Area of Icosahedron

A Face = \frac{\sqrt{3}}{4} \cdot {l e}^{2}

Go Face Area of Icosahedron given Midsphere Radius

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

Go Face Area of Icosahedron given Insphere Radius

A Face = \frac{\sqrt{3}}{4} \cdot {(\frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{2}

Go Face Area of Icosahedron given Circumsphere Radius

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

How to Evaluate Face Area of Icosahedron given Face Perimeter?

Face Area of Icosahedron given Face Perimeter evaluator uses Face Area of Icosahedron = sqrt(3)/4*(Face Perimeter of Icosahedron/3)^2 to evaluate the Face Area of Icosahedron, The Face Area of Icosahedron given Face Perimeter formula is defined as the amount of space occupied on any one of the twelve triangular faces of an Icosahedron and is calculated using the face perimeter of the Icosahedron. Face Area of Icosahedron is denoted by A_Face symbol.

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

FAQs on Face Area of Icosahedron given Face Perimeter

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

The formula of Face Area of Icosahedron given Face Perimeter is expressed as Face Area of Icosahedron = sqrt(3)/4*(Face Perimeter of Icosahedron/3)^2. Here is an example- 43.30127 = sqrt(3)/4*(30/3)^2.

How to calculate Face Area of Icosahedron given Face Perimeter?

With Face Perimeter of Icosahedron (P_Face) we can find Face Area of Icosahedron given Face Perimeter using the formula - Face Area of Icosahedron = sqrt(3)/4*(Face Perimeter of Icosahedron/3)^2. This formula also uses Square Root (sqrt) function(s).

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

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

Face Area of Icosahedron=sqrt(3)/4*Edge Length of Icosahedron^2
Face Area of Icosahedron=sqrt(3)/4*((4*Midsphere Radius of Icosahedron)/(1+sqrt(5)))^2
Face Area of Icosahedron=sqrt(3)/4*((12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))))^2

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

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

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

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

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