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Edge Length of Icosahedron given Circumsphere Radius Formula

GoEdge Length of Icosahedron given Face Perimeter Formula

GoEdge Length of Icosahedron given Total Surface Area 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 c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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

Edge Length of Icosahedron given Circumsphere Radius Example

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

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

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

9.4632 = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.4632m = \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

9.4632 = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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3D Geometry » fx Edge Length of Icosahedron given Circumsphere Radius

Edge Length of Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 9.46316001814441m

LAST Step Rounding Answer

∴

l e = 9.4632m

Edge Length of Icosahedron given Circumsphere 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

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

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 Face Perimeter

l e = \frac{P Face}{3}

Go Edge Length of Icosahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Go Edge Length of Icosahedron given Volume

l e = {(\frac{\frac{12}{5} \cdot V}{3 + \sqrt{5}})}^{\frac{1}{3}}

How to Evaluate Edge Length of Icosahedron given Circumsphere Radius?

Edge Length of Icosahedron given Circumsphere Radius evaluator uses Edge Length of Icosahedron = (4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Edge Length of Icosahedron, The Edge Length of Icosahedron given Circumsphere 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 circumsphere radius of the Icosahedron. Edge Length of Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Icosahedron given Circumsphere Radius

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

The formula of Edge Length of Icosahedron given Circumsphere Radius is expressed as Edge Length of Icosahedron = (4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 9.46316 = (4*9)/(sqrt(10+(2*sqrt(5)))).

How to calculate Edge Length of Icosahedron given Circumsphere Radius?

With Circumsphere Radius of Icosahedron (r_c) we can find Edge Length of Icosahedron given Circumsphere Radius using the formula - Edge Length of Icosahedron = (4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*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=Face Perimeter of Icosahedron/3
Edge Length of Icosahedron=sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))
Edge Length of Icosahedron=((12/5*Volume of Icosahedron)/(3+sqrt(5)))^(1/3)

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

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

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

Edge Length 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 Edge Length of Icosahedron given Circumsphere Radius can be measured.

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