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Area of Pentagon of Truncated Rhombohedron given Total Surface Area 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{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

A_Pentagon - Area of Pentagon of Truncated Rhombohedron?TSA - Total Surface Area of Truncated Rhombohedron?

Area of Pentagon of Truncated Rhombohedron given Total Surface Area Example

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

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

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

530.7743 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

530.7743m² = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

530.7743 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

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Area of Pentagon of Truncated Rhombohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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})})

Next Step Substitute values of Variables

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

Next Step Prepare to Evaluate

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})

Next Step Evaluate

∴

A Pentagon = 530.774298924872m²

LAST Step Rounding Answer

∴

A Pentagon = 530.7743m²

Area of Pentagon of Truncated Rhombohedron given Total Surface Area 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

Total Surface Area of Truncated Rhombohedron

Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 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})

How to Evaluate Area of Pentagon of Truncated Rhombohedron given Total Surface Area?

Area of Pentagon of Truncated Rhombohedron given Total Surface Area evaluator uses Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))) to evaluate the Area of Pentagon of Truncated Rhombohedron, Area of Pentagon of Truncated Rhombohedron given Total Surface Area formula is defined as the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron, calculated using its total surface area. Area of Pentagon of Truncated Rhombohedron is denoted by A_Pentagon symbol.

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

FAQs on Area of Pentagon of Truncated Rhombohedron given Total Surface Area

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

The formula of Area of Pentagon of Truncated Rhombohedron given Total Surface Area is expressed as Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))). Here is an example- 530.7743 = ((sqrt(5+(2*sqrt(5))))/4)*((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))).

How to calculate Area of Pentagon of Truncated Rhombohedron given Total Surface Area?

With Total Surface Area of Truncated Rhombohedron (TSA) we can find Area of Pentagon of Truncated Rhombohedron given Total Surface Area using the formula - Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))). 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)*(((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 Total Surface Area be negative?

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

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

Area of Pentagon of Truncated Rhombohedron given Total Surface Area 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 Total Surface Area can be measured.

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