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Area of Pentagon of Truncated Rhombohedron Formula

GoArea of Pentagon of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoArea of Pentagon of Truncated Rhombohedron given Triangular Edge Length 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{2 \cdot l e}{3 - \sqrt{5}})}^{2})

A_Pentagon - Area of Pentagon of Truncated Rhombohedron?l_e - Edge Length of Truncated Rhombohedron?

Area of Pentagon of Truncated Rhombohedron Example

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

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

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

527.3689 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

527.3689m² = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{2})

527.3689 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

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Area of Pentagon of Truncated Rhombohedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{2})

Next Step Prepare to Evaluate

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

Next Step Evaluate

∴

A Pentagon = 527.36891959118m²

LAST Step Rounding Answer

∴

A Pentagon = 527.3689m²

Area of Pentagon of Truncated Rhombohedron Formula Elements

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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

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 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 Circumsphere Radius

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

Area of Pentagon of Truncated Rhombohedron evaluator uses Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2) to evaluate the Area of Pentagon of Truncated Rhombohedron, Area of Pentagon of Truncated Rhombohedron formula is defined as the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron. Area of Pentagon of Truncated Rhombohedron is denoted by A_Pentagon symbol.

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

FAQs on Area of Pentagon of Truncated Rhombohedron

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

The formula of Area of Pentagon of Truncated Rhombohedron is expressed as Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2). Here is an example- 527.3689 = ((sqrt(5+(2*sqrt(5))))/4)*(((2*10)/(3-sqrt(5)))^2).

How to calculate Area of Pentagon of Truncated Rhombohedron?

With Edge Length of Truncated Rhombohedron (l_e) we can find Area of Pentagon of Truncated Rhombohedron using the formula - Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2). This formula also uses Square Root (sqrt) 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)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)
Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2)

Can the Area of Pentagon of Truncated Rhombohedron be negative?

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

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

Area of Pentagon of Truncated Rhombohedron 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 can be measured.

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