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Pentagonal Face Area of Icosidodecahedron given Midsphere Radius 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{r m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

A_Pentagon - Pentagonal Face Area of Icosidodecahedron?r_m - Midsphere Radius of Icosidodecahedron?

Pentagonal Face Area of Icosidodecahedron given Midsphere Radius Example

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

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

163.4721 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

163.4721m² = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

163.4721 = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

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Pentagonal Face Area of Icosidodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{15m}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Prepare to Evaluate

∴

A Pentagon = \sqrt{25 + (10 \cdot \sqrt{5})} \cdot {(\frac{15}{\sqrt{5 + (2 \cdot \sqrt{5})}})}^{2}

Next Step Evaluate

∴

A Pentagon = 163.472068801206m²

LAST Step Rounding Answer

∴

A Pentagon = 163.4721m²

Pentagonal Face Area of Icosidodecahedron given Midsphere Radius 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

Midsphere Radius of Icosidodecahedron

Midsphere Radius of Icosidodecahedron is the radius of the sphere for which all the edges of the Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius 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 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 given Midsphere Radius?

Pentagonal Face Area of Icosidodecahedron given Midsphere Radius evaluator uses Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*sqrt(5)))))^2 to evaluate the Pentagonal Face Area of Icosidodecahedron, Pentagonal Face Area of Icosidodecahedron given midsphere radius 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 midsphere radius of the Icosidodecahedron. Pentagonal Face Area of Icosidodecahedron is denoted by A_Pentagon symbol.

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

FAQs on Pentagonal Face Area of Icosidodecahedron given Midsphere Radius

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

The formula of Pentagonal Face Area of Icosidodecahedron given Midsphere Radius is expressed as Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*sqrt(5)))))^2. Here is an example- 163.4721 = sqrt(25+(10*sqrt(5)))*(15/(sqrt(5+(2*sqrt(5)))))^2.

How to calculate Pentagonal Face Area of Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Icosidodecahedron (r_m) we can find Pentagonal Face Area of Icosidodecahedron given Midsphere Radius using the formula - Pentagonal Face Area of Icosidodecahedron = sqrt(25+(10*sqrt(5)))*(Midsphere Radius of Icosidodecahedron/(sqrt(5+(2*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)))*Total Surface Area of Icosidodecahedron/(4*((5*sqrt(3))+(3*sqrt(25+(10*sqrt(5))))))

Can the Pentagonal Face Area of Icosidodecahedron given Midsphere Radius be negative?

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

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

Pentagonal Face Area of Icosidodecahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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