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Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Formula

GoCircumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoCircumsphere Radius of Truncated Rhombohedron Formula

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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. Check FAQs

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

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

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Example

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

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

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

20.2532 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}}})

20.2532m = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{4 \cdot 530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}}})

20.2532 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}}})

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Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{4 \cdot 530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{4 \cdot 530}{\sqrt{5 + (2 \cdot \sqrt{5})}}})

Next Step Evaluate

∴

r c = 20.2532038598988m

LAST Step Rounding Answer

∴

r c = 20.2532m

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon Formula Elements

Variables

Functions

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

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

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 Circumsphere Radius of Truncated Rhombohedron

Go Circumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot l e(Rhombohedron)

Go Circumsphere Radius of Truncated Rhombohedron

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{l e}{3 - \sqrt{5}})

Go Circumsphere Radius of Truncated Rhombohedron given Triangular Edge Length

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})

Go Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

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

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon evaluator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))) to evaluate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon formula is defined as the radius of the sphere that contains the Truncated Rhombohedron in such a way that all the vertices are lying on the sphere, calculated using its area of pentagon. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon

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

The formula of Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon is expressed as Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*Area of Pentagon of Truncated Rhombohedron)/(sqrt(5+(2*sqrt(5)))))). Here is an example- 20.2532 = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((4*530)/(sqrt(5+(2*sqrt(5)))))).

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

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

What are the other ways to Calculate Circumsphere Radius of Truncated Rhombohedron?

Here are the different ways to Calculate Circumsphere Radius of Truncated Rhombohedron-

Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*Rhombohedral Edge Length of Truncated Rhombohedron
Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5)))
Circumsphere Radius of Truncated Rhombohedron=((sqrt(14-(2*sqrt(5))))/4)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))

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

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

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

Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Truncated Rhombohedron given Area of Pentagon can be measured.

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