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Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal Formula

GoPentagonal Face Area of Icosidodecahedron Formula

GoPentagonal Face Area of Icosidodecahedron given Circumsphere Radius Formula

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Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron. Check FAQs

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

A_Pentagon - Pentagonal Face Area of Icosidodecahedron?d_Pentagon - Pentagonal Face Diagonal of Icosidodecahedron?

Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal Example

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Here is how the Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Values.

Here is how the Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal equation looks like with Units.

Here is how the Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal equation looks like.

168.234 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{16}{1 + \sqrt{5}})}^{2}

168.234m² = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{16m}{1 + \sqrt{5}})}^{2}

168.234 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{16}{1 + \sqrt{5}})}^{2}

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Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal Solution

Follow our step by step solution on how to calculate Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{16m}{1 + \sqrt{5}})}^{2}

Next Step Prepare to Evaluate

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{16}{1 + \sqrt{5}})}^{2}

Next Step Evaluate

∴

A Pentagon = 168.233955878123m²

LAST Step Rounding Answer

∴

A Pentagon = 168.234m²

Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal Formula Elements

Variables

Functions

Pentagonal Face Area of Icosidodecahedron

Pentagonal Face Area of Icosidodecahedron is the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Area of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron

Pentagonal Face Diagonal of Icosidodecahedron is the distance between any pair of non adjacent vertices of any of the pentagonal faces of the Icosidodecahedron.

Symbol: d_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pentagonal Face Diagonal of Icosidodecahedron

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 Pentagonal Face Area of Icosidodecahedron

Go Pentagonal Face Area of Icosidodecahedron

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

Go Pentagonal Face Area of Icosidodecahedron given Circumsphere Radius

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

Go Pentagonal Face Area of Icosidodecahedron given Midsphere Radius

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{r m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Go Pentagonal Face Area of Icosidodecahedron given Total Surface Area

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot \frac{TSA}{4 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}

How to Evaluate Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal?

Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal evaluator uses Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Pentagonal Face Diagonal of Icosidodecahedron/(1+sqrt(5)))^2 to evaluate the Pentagonal Face Area of Icosidodecahedron, Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal formula is defined as the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron, and calculated using the pentagonal face diagonal of the Icosidodecahedron. Pentagonal Face Area of Icosidodecahedron is denoted by A_Pentagon symbol.

How to evaluate Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal using this online evaluator? To use this online evaluator for Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal, enter Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) and hit the calculate button.

FAQs on Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal

What is the formula to find Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal?

The formula of Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal is expressed as Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Pentagonal Face Diagonal of Icosidodecahedron/(1+sqrt(5)))^2. Here is an example- 168.234 = sqrt(25+(10*sqrt(5)))*(16/(1+sqrt(5)))^2.

How to calculate Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal?

With Pentagonal Face Diagonal of Icosidodecahedron (d_Pentagon) we can find Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal using the formula - Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Pentagonal Face Diagonal of Icosidodecahedron/(1+sqrt(5)))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pentagonal Face Area of Icosidodecahedron?

Here are the different ways to Calculate Pentagonal Face Area of Icosidodecahedron-

Pentagonal Face Area of Icosidodecahedron=sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4
Pentagonal Face Area of Icosidodecahedron=sqrt(25+(10*sqrt(5)))*(Circumsphere Radius of Icosidodecahedron/(1+sqrt(5)))^2
Pentagonal Face Area of Icosidodecahedron=sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*sqrt(5)))))^2

Can the Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal be negative?

No, the Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal, measured in Area cannot be negative.

Which unit is used to measure Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal?

Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal 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 Pentagonal Face Area of Icosidodecahedron given Pentagonal Face Diagonal can be measured.

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