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Edge Length of Icosahedron given Midsphere Radius Formula

GoEdge Length of Icosahedron given Surface to Volume Ratio Formula

GoEdge Length of Icosahedron given Circumsphere Radius Formula

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Edge Length of Icosahedron is the length of any of edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron. Check FAQs

l e = \frac{4 \cdot r m}{1 + \sqrt{5}}

l_e - Edge Length of Icosahedron?r_m - Midsphere Radius of Icosahedron?

Edge Length of Icosahedron given Midsphere Radius Example

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Here is how the Edge Length of Icosahedron given Midsphere Radius equation looks like with Values.

Here is how the Edge Length of Icosahedron given Midsphere Radius equation looks like with Units.

Here is how the Edge Length of Icosahedron given Midsphere Radius equation looks like.

9.8885 = \frac{4 \cdot 8}{1 + \sqrt{5}}

9.8885m = \frac{4 \cdot 8m}{1 + \sqrt{5}}

9.8885 = \frac{4 \cdot 8}{1 + \sqrt{5}}

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Edge Length of Icosahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Icosahedron given Midsphere Radius?

FIRST Step Consider the formula

l e = \frac{4 \cdot r m}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 8m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 8}{1 + \sqrt{5}}

Next Step Evaluate

∴

l e = 9.88854381999832m

LAST Step Rounding Answer

∴

l e = 9.8885m

Edge Length of Icosahedron given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Icosahedron

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Icosahedron

Midsphere Radius of Icosahedron

The Midsphere Radius of Icosahedron is defined as radius of the sphere for which all the edges of the Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Icosahedron

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 Edge Length of Icosahedron

Go Edge Length of Icosahedron given Surface to Volume Ratio

l e = \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

Go Edge Length of Icosahedron given Circumsphere Radius

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

Go Edge Length of Icosahedron given Insphere Radius

l e = \frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Edge Length of Icosahedron given Space Diagonal

l e = \frac{2 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Edge Length of Icosahedron given Midsphere Radius?

Edge Length of Icosahedron given Midsphere Radius evaluator uses Edge Length of Icosahedron = (4*Midsphere Radius of Icosahedron)/(1+sqrt(5)) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Midsphere Radius formula is defined as the length of any of the edges of the Icosahedron or the distance between any pair of adjacent vertices of the Icosahedron and is calculated using the midsphere radius of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

How to evaluate Edge Length of Icosahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Icosahedron given Midsphere Radius, enter Midsphere Radius of Icosahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Icosahedron given Midsphere Radius

What is the formula to find Edge Length of Icosahedron given Midsphere Radius?

The formula of Edge Length of Icosahedron given Midsphere Radius is expressed as Edge Length of Icosahedron = (4*Midsphere Radius of Icosahedron)/(1+sqrt(5)). Here is an example- 9.888544 = (4*8)/(1+sqrt(5)).

How to calculate Edge Length of Icosahedron given Midsphere Radius?

With Midsphere Radius of Icosahedron (r_m) we can find Edge Length of Icosahedron given Midsphere Radius using the formula - Edge Length of Icosahedron = (4*Midsphere Radius of Icosahedron)/(1+sqrt(5)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Icosahedron?

Here are the different ways to Calculate Edge Length of Icosahedron-

Edge Length of Icosahedron=(12*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Edge Length of Icosahedron=(4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Edge Length of Icosahedron=(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Edge Length of Icosahedron given Midsphere Radius be negative?

No, the Edge Length of Icosahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Icosahedron given Midsphere Radius?

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

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