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Circumsphere Radius of Dodecahedron given Space Diagonal Formula

GoCircumsphere Radius of Dodecahedron Formula

GoCircumsphere Radius of Dodecahedron given Volume 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 = \frac{d Space}{2}

r_c - Circumsphere Radius of Dodecahedron?d_Space - Space Diagonal of Dodecahedron?

Circumsphere Radius of Dodecahedron given Space Diagonal Example

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

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

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

14 = \frac{28}{2}

14m = \frac{28m}{2}

14 = \frac{28}{2}

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Circumsphere Radius of Dodecahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

r c = \frac{d Space}{2}

Next Step Substitute values of Variables

∴

r c = \frac{28m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{28}{2}

LAST Step Evaluate

∴

r c = 14m

Circumsphere Radius of Dodecahedron given Space Diagonal Formula Elements

Variables

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

Space Diagonal of Dodecahedron

The Space Diagonal of Dodecahedron is the line connecting two vertices that are not on the same face of Dodecahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Dodecahedron

Other Formulas to find Circumsphere Radius of Dodecahedron

Go Circumsphere Radius of Dodecahedron

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

Go Circumsphere Radius of Dodecahedron given Volume

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{4} \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Dodecahedron given Face Diagonal

r c = \frac{\sqrt{3}}{2} \cdot d Face

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})}}}

How to Evaluate Circumsphere Radius of Dodecahedron given Space Diagonal?

Circumsphere Radius of Dodecahedron given Space Diagonal evaluator uses Circumsphere Radius of Dodecahedron = Space Diagonal of Dodecahedron/2 to evaluate the Circumsphere Radius of Dodecahedron, The Circumsphere Radius of Dodecahedron given Space Diagonal 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, and calculated using space diagonal of Dodecahedron. Circumsphere Radius of Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Dodecahedron given Space Diagonal using this online evaluator? To use this online evaluator for Circumsphere Radius of Dodecahedron given Space Diagonal, enter Space Diagonal of Dodecahedron (d_Space) and hit the calculate button.

FAQs on Circumsphere Radius of Dodecahedron given Space Diagonal

What is the formula to find Circumsphere Radius of Dodecahedron given Space Diagonal?

The formula of Circumsphere Radius of Dodecahedron given Space Diagonal is expressed as Circumsphere Radius of Dodecahedron = Space Diagonal of Dodecahedron/2. Here is an example- 14 = 28/2.

How to calculate Circumsphere Radius of Dodecahedron given Space Diagonal?

With Space Diagonal of Dodecahedron (d_Space) we can find Circumsphere Radius of Dodecahedron given Space Diagonal using the formula - Circumsphere Radius of Dodecahedron = Space Diagonal of Dodecahedron/2.

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))*Edge Length of Dodecahedron/4
Circumsphere Radius of Dodecahedron=sqrt(3)*(1+sqrt(5))/4*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Circumsphere Radius of Dodecahedron=sqrt(3)/2*Face Diagonal of Dodecahedron

Can the Circumsphere Radius of Dodecahedron given Space Diagonal be negative?

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

Which unit is used to measure Circumsphere Radius of Dodecahedron given Space Diagonal?

Circumsphere Radius of Dodecahedron given Space Diagonal 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 given Space Diagonal can be measured.

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