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Circumsphere Radius of Truncated Rhombohedron Formula

GoCircumsphere Radius of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoCircumsphere Radius of Truncated Rhombohedron given Triangular Edge Length 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 (2 \cdot \frac{l e}{3 - \sqrt{5}})

r_c - Circumsphere Radius of Truncated Rhombohedron?l_e - Edge Length of Truncated Rhombohedron?

Circumsphere Radius of Truncated Rhombohedron Example

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

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

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

20.2029 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{10}{3 - \sqrt{5}})

20.2029m = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{10m}{3 - \sqrt{5}})

20.2029 = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{10}{3 - \sqrt{5}})

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Circumsphere Radius of Truncated Rhombohedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{10m}{3 - \sqrt{5}})

Next Step Prepare to Evaluate

∴

r c = (\frac{\sqrt{14 - (2 \cdot \sqrt{5})}}{4}) \cdot (2 \cdot \frac{10}{3 - \sqrt{5}})

Next Step Evaluate

∴

r c = 20.2028697969183m

LAST Step Rounding Answer

∴

r c = 20.2029m

Circumsphere Radius of Truncated Rhombohedron 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

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 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 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})}})

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?

Circumsphere Radius of Truncated Rhombohedron evaluator uses Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5))) to evaluate the Circumsphere Radius of Truncated Rhombohedron, Circumsphere Radius of Truncated Rhombohedron 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. Circumsphere Radius of Truncated Rhombohedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Rhombohedron

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

The formula of Circumsphere Radius of Truncated Rhombohedron is expressed as Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-sqrt(5))). Here is an example- 20.20287 = ((sqrt(14-(2*sqrt(5))))/4)*(2*10/(3-sqrt(5))).

How to calculate Circumsphere Radius of Truncated Rhombohedron?

With Edge Length of Truncated Rhombohedron (l_e) we can find Circumsphere Radius of Truncated Rhombohedron using the formula - Circumsphere Radius of Truncated Rhombohedron = ((sqrt(14-(2*sqrt(5))))/4)*(2*Edge Length of Truncated Rhombohedron/(3-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)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))
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)))))

Can the Circumsphere Radius of Truncated Rhombohedron be negative?

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

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

Circumsphere Radius of Truncated Rhombohedron 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 can be measured.

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