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Space Diagonal of Icosahedron given Circumsphere Radius Formula

GoSpace Diagonal of Icosahedron given Insphere Radius Formula

GoSpace Diagonal of Icosahedron given Midsphere Radius Formula

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

d Space = 2 \cdot r c

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

Space Diagonal of Icosahedron given Circumsphere Radius Example

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

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

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

18 = 2 \cdot 9

18m = 2 \cdot 9m

18 = 2 \cdot 9

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Space Diagonal of Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

d Space = 2 \cdot r c

Next Step Substitute values of Variables

∴

d Space = 2 \cdot 9m

Next Step Prepare to Evaluate

∴

d Space = 2 \cdot 9

LAST Step Evaluate

∴

d Space = 18m

Space Diagonal of Icosahedron given Circumsphere Radius Formula Elements

Variables

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

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

Other Formulas to find Space Diagonal of Icosahedron

Go Space Diagonal of Icosahedron given Insphere Radius

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{6 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Space Diagonal of Icosahedron given Midsphere Radius

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

Go Space Diagonal of Icosahedron given Surface to Volume Ratio

d Space = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{6 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

Go Space Diagonal of Icosahedron given Total Surface Area

d Space = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{2} \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

How to Evaluate Space Diagonal of Icosahedron given Circumsphere Radius?

Space Diagonal of Icosahedron given Circumsphere Radius evaluator uses Space Diagonal of Icosahedron = 2*Circumsphere Radius of Icosahedron to evaluate the Space Diagonal of Icosahedron, The Space Diagonal of Icosahedron given Circumsphere Radius formula is defined as the line connecting two vertices that are not on the same face of the Icosahedron and is calculated using the circumsphere radius of the Icosahedron. Space Diagonal of Icosahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Icosahedron given Circumsphere Radius

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

The formula of Space Diagonal of Icosahedron given Circumsphere Radius is expressed as Space Diagonal of Icosahedron = 2*Circumsphere Radius of Icosahedron. Here is an example- 18 = 2*9.

How to calculate Space Diagonal of Icosahedron given Circumsphere Radius?

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

What are the other ways to Calculate Space Diagonal of Icosahedron?

Here are the different ways to Calculate Space Diagonal of Icosahedron-

Space Diagonal of Icosahedron=sqrt(10+(2*sqrt(5)))*(6*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Space Diagonal of Icosahedron=sqrt(10+(2*sqrt(5)))*(2*Midsphere Radius of Icosahedron)/(1+sqrt(5))
Space Diagonal of Icosahedron=sqrt(10+(2*sqrt(5)))*(6*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)

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

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

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

Space Diagonal of Icosahedron given Circumsphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Icosahedron given Circumsphere Radius can be measured.

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