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Circumsphere Radius of Icosahedron given Space Diagonal Formula

GoCircumsphere Radius of Icosahedron Formula

GoCircumsphere Radius of Icosahedron given Insphere Radius Formula

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Circumsphere Radius of Icosahedron is the radius of the sphere that contains the Icosahedron 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 Icosahedron?d_Space - Space Diagonal of Icosahedron?

Circumsphere Radius of Icosahedron given Space Diagonal Example

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

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

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

9.5 = \frac{19}{2}

9.5m = \frac{19m}{2}

9.5 = \frac{19}{2}

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Circumsphere Radius of Icosahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{19m}{2}

Next Step Prepare to Evaluate

∴

r c = \frac{19}{2}

LAST Step Evaluate

∴

r c = 9.5m

Circumsphere Radius of Icosahedron given Space Diagonal Formula Elements

Variables

Circumsphere Radius of Icosahedron

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

Space Diagonal of Icosahedron

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

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Icosahedron

Other Formulas to find Circumsphere Radius of Icosahedron

Go Circumsphere Radius of Icosahedron

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Icosahedron given Insphere Radius

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Circumsphere Radius of Icosahedron given Midsphere Radius

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{4 \cdot r m}{1 + \sqrt{5}}

Go Circumsphere Radius of Icosahedron given Surface to Volume Ratio

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

How to Evaluate Circumsphere Radius of Icosahedron given Space Diagonal?

Circumsphere Radius of Icosahedron given Space Diagonal evaluator uses Circumsphere Radius of Icosahedron = Space Diagonal of Icosahedron/2 to evaluate the Circumsphere Radius of Icosahedron, The Circumsphere Radius of Icosahedron given Space Diagonal formula is defined as the radius of the sphere that contains the Icosahedron in such a way that all the vertices are lying on the sphere and is calculated using the space diagonal of the Icosahedron. Circumsphere Radius of Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Icosahedron given Space Diagonal

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

The formula of Circumsphere Radius of Icosahedron given Space Diagonal is expressed as Circumsphere Radius of Icosahedron = Space Diagonal of Icosahedron/2. Here is an example- 9.5 = 19/2.

How to calculate Circumsphere Radius of Icosahedron given Space Diagonal?

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

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

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

Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*Edge Length of Icosahedron
Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*(4*Midsphere Radius of Icosahedron)/(1+sqrt(5))

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

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

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

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

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