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Pentagonal Face Area of Icosidodecahedron Formula

GoPentagonal Face Area of Icosidodecahedron given Circumsphere Radius Formula

GoPentagonal Face Area of Icosidodecahedron given Midsphere 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{{l e}^{2}}{4}

A_Pentagon - Pentagonal Face Area of Icosidodecahedron?l_e - Edge Length of Icosidodecahedron?

Pentagonal Face Area of Icosidodecahedron Example

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

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

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

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

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

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

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Pentagonal Face Area of Icosidodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

A Pentagon = 172.047740058897m²

LAST Step Rounding Answer

∴

A Pentagon = 172.0477m²

Pentagonal Face Area of Icosidodecahedron 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

Edge Length of Icosidodecahedron

Edge Length of Icosidodecahedron is the length of any edge of the Icosidodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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})}))}

Go Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

How to Evaluate Pentagonal Face Area of Icosidodecahedron?

Pentagonal Face Area of Icosidodecahedron evaluator uses Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4 to evaluate the Pentagonal Face Area of Icosidodecahedron, Pentagonal Face Area of Icosidodecahedron formula is defined as the total quantity of two dimensional space enclosed on any of the pentagonal faces of the Icosidodecahedron. Pentagonal Face Area of Icosidodecahedron is denoted by A_Pentagon symbol.

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

FAQs on Pentagonal Face Area of Icosidodecahedron

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

The formula of Pentagonal Face Area of Icosidodecahedron is expressed as Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4. Here is an example- 172.0477 = sqrt(25+(10*sqrt(5)))*(10^2)/4.

How to calculate Pentagonal Face Area of Icosidodecahedron?

With Edge Length of Icosidodecahedron (l_e) we can find Pentagonal Face Area of Icosidodecahedron using the formula - Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Edge Length of Icosidodecahedron^2)/4. 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)))*(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
Pentagonal Face Area of Icosidodecahedron=sqrt(25+(10*sqrt(5)))*Total Surface Area of Icosidodecahedron/(4*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Can the Pentagonal Face Area of Icosidodecahedron be negative?

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

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

Pentagonal Face Area of Icosidodecahedron 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 can be measured.

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