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Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius Formula

GoArea of Pentagon of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoArea of Pentagon of Truncated Rhombohedron Formula

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Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron. Check FAQs

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

A_Pentagon - Area of Pentagon of Truncated Rhombohedron?r_c - Circumsphere Radius of Truncated Rhombohedron?

Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius Example

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Here is how the Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius equation looks like with Values.

Here is how the Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius equation looks like with Units.

Here is how the Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius equation looks like.

516.8308 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

516.8308m² = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

516.8308 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

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Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius Solution

Follow our step by step solution on how to calculate Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius?

FIRST Step Consider the formula

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

Next Step Substitute values of Variables

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot 20m}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

Next Step Prepare to Evaluate

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot 20}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

Next Step Evaluate

∴

A Pentagon = 516.830806592412m²

LAST Step Rounding Answer

∴

A Pentagon = 516.8308m²

Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius Formula Elements

Variables

Functions

Area of Pentagon of Truncated Rhombohedron

Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron

Circumsphere Radius of Truncated Rhombohedron is the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Truncated Rhombohedron

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 Area of Pentagon of Truncated Rhombohedron

Go Area of Pentagon of Truncated Rhombohedron given Rhombohedral Edge Length

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

Go Area of Pentagon of Truncated Rhombohedron

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{2})

Go Area of Pentagon of Truncated Rhombohedron given Triangular Edge Length

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

Go Area of Pentagon of Truncated Rhombohedron given Total Surface Area

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

How to Evaluate Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius?

Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius evaluator uses Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2) to evaluate the Area of Pentagon of Truncated Rhombohedron, Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius formula is defined as the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron, calculated using its circumsphere radius. Area of Pentagon of Truncated Rhombohedron is denoted by A_Pentagon symbol.

How to evaluate Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius using this online evaluator? To use this online evaluator for Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius, enter Circumsphere Radius of Truncated Rhombohedron (r_c) and hit the calculate button.

FAQs on Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius

What is the formula to find Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius?

The formula of Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius is expressed as Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2). Here is an example- 516.8308 = ((sqrt(5+(2*sqrt(5))))/4)*(((4*20)/(sqrt(14-(2*sqrt(5)))))^2).

How to calculate Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius?

With Circumsphere Radius of Truncated Rhombohedron (r_c) we can find Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius using the formula - Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2). This formula also uses Square Root Function function(s).

What are the other ways to Calculate Area of Pentagon of Truncated Rhombohedron?

Here are the different ways to Calculate Area of Pentagon of Truncated Rhombohedron-

Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*(Rhombohedral Edge Length of Truncated Rhombohedron^2)
Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2)
Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)

Can the Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius be negative?

No, the Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius, measured in Area cannot be negative.

Which unit is used to measure Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius?

Area of Pentagon of Truncated Rhombohedron given Circumsphere 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 Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius can be measured.

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