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

r_c - Circumsphere Radius of Truncated Rhombohedron?TSA - Total Surface Area of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area Example

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

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

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

20.268 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

20.268m = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

20.268 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

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Circumsphere Radius of Truncated Rhombohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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})}})

Next Step Substitute values of Variables

∴

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

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (\sqrt{\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}})

Next Step Evaluate

∴

r c = 20.2679928320884m

LAST Step Rounding Answer

∴

r c = 20.268m

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area 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

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 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 Area of Pentagon

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

How to Evaluate Circumsphere Radius of Truncated Rhombohedron given Total Surface Area?

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area evaluator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))) to evaluate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron given Total Surface Area 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 total surface area. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Rhombohedron given Total Surface Area

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

The formula of Circumsphere Radius of Truncated Rhombohedron given Total Surface Area is expressed as Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))). Here is an example- 20.26799 = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))).

How to calculate Circumsphere Radius of Truncated Rhombohedron given Total Surface Area?

With Total Surface Area of Truncated Rhombohedron (TSA) we can find Circumsphere Radius of Truncated Rhombohedron given Total Surface Area using the formula - Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(sqrt((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 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 Total Surface Area be negative?

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

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

Circumsphere Radius of Truncated Rhombohedron given Total Surface Area 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 Total Surface Area can be measured.

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