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Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio 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{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{R A/V \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

A_Pentagon - Pentagonal Face Area of Icosidodecahedron?R_A/V - Surface to Volume Ratio of Icosidodecahedron?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio Example

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Here is how the Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio equation looks like.

192.9791 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

192.9791m² = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

192.9791 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

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Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2m⁻¹ \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

Next Step Prepare to Evaluate

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{3 \cdot ((5 \cdot \sqrt{3}) + (3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}))}{0.2 \cdot (45 + (17 \cdot \sqrt{5}))})}^{2}

Next Step Evaluate

∴

A Pentagon = 192.979073678553m²

LAST Step Rounding Answer

∴

A Pentagon = 192.9791m²

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio 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

Surface to Volume Ratio of Icosidodecahedron

Surface to Volume Ratio of Icosidodecahedron is the numerical ratio of the total surface area of a Icosidodecahedron to the volume of the Icosidodecahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio evaluator uses Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2 to evaluate the Pentagonal Face Area of Icosidodecahedron, Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio 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 surface to volume ratio of the Icosidodecahedron. Pentagonal Face Area of Icosidodecahedron is denoted by A_Pentagon symbol.

How to evaluate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Icosidodecahedron (R_A/V) and hit the calculate button.

FAQs on Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio

What is the formula to find Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

The formula of Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio is expressed as Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*sqrt(5)))))^2. Here is an example- 192.9791 = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(0.2*(45+(17*sqrt(5)))))^2.

How to calculate Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Icosidodecahedron (R_A/V) we can find Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio using the formula - Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*((3*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))/(Surface to Volume Ratio of Icosidodecahedron*(45+(17*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 Surface to Volume Ratio be negative?

No, the Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio, measured in Area cannot be negative.

Which unit is used to measure Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio?

Pentagonal Face Area of Icosidodecahedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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