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Circumsphere Radius of Dodecahedron Formula

GoCircumsphere Radius of Dodecahedron given Total Surface Area Formula

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Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{4}

r_c - Circumsphere Radius of Dodecahedron?l_e - Edge Length of Dodecahedron?

Circumsphere Radius of Dodecahedron Example

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

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

Here is how the Circumsphere Radius of Dodecahedron equation looks like.

14.0126 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10}{4}

14.0126m = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10m}{4}

14.0126 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10}{4}

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Circumsphere Radius of Dodecahedron Solution

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

FIRST Step Consider the formula

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{4}

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10m}{4}

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{10}{4}

Next Step Evaluate

∴

r c = 14.0125853844407m

LAST Step Rounding Answer

∴

r c = 14.0126m

Circumsphere Radius of Dodecahedron Formula Elements

Variables

Functions

Circumsphere Radius of Dodecahedron

Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron 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 Dodecahedron

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Dodecahedron

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 Dodecahedron

Go Circumsphere Radius of Dodecahedron given Total Surface Area

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Other formulas in Circumsphere Radius of Dodecahedron category

Go Insphere Radius of Dodecahedron

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{l e}{2}

Go Insphere Radius of Dodecahedron given Perimeter

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P}{60}

Go Midsphere Radius of Dodecahedron

r m = \frac{3 + \sqrt{5}}{4} \cdot l e

Go Midsphere Radius of Dodecahedron given Lateral Surface Area

r m = \frac{3 + \sqrt{5}}{4} \cdot \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Circumsphere Radius of Dodecahedron?

Circumsphere Radius of Dodecahedron evaluator uses Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/4 to evaluate the Circumsphere Radius of Dodecahedron, Circumsphere Radius of Dodecahedron formula is defined as the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Dodecahedron

What is the formula to find Circumsphere Radius of Dodecahedron?

The formula of Circumsphere Radius of Dodecahedron is expressed as Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/4. Here is an example- 14.01259 = sqrt(3)*(1+sqrt(5))*10/4.

How to calculate Circumsphere Radius of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Circumsphere Radius of Dodecahedron using the formula - Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/4. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Dodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Dodecahedron-

Circumsphere Radius of Dodecahedron=sqrt(3)*(1+sqrt(5))/4*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Circumsphere Radius of Dodecahedron be negative?

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

Which unit is used to measure Circumsphere Radius of Dodecahedron?

Circumsphere Radius of Dodecahedron 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 Dodecahedron can be measured.

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