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Edge Length of Great Icosahedron given Circumsphere Radius Formula

GoEdge Length of Great Icosahedron given Mid Ridge Length Formula

GoEdge Length of Great Icosahedron given Long Ridge Length Formula

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Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron. Check FAQs

l e = \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

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

Edge Length of Great Icosahedron given Circumsphere Radius Example

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

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

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

10.0406 = \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

10.0406m = \frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}}

10.0406 = \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

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Edge Length of Great Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

l e = \frac{4 \cdot r c}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 25m}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 25}{\sqrt{50 + (22 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 10.0405707943114m

LAST Step Rounding Answer

∴

l e = 10.0406m

Edge Length of Great Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

Edge Length of Great Icosahedron

Edge Length of Great Icosahedron is the distance between any pair of adjacent peak vertices of the Great Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great Icosahedron

Circumsphere Radius of Great Icosahedron

Circumsphere Radius of Great Icosahedron is the radius of the sphere that contains the Great Icosahedron in such a way that all the peak 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 Great 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 Great Icosahedron

Go Edge Length of Great Icosahedron given Mid Ridge Length

l e = \frac{2 \cdot l Ridge(Mid)}{1 + \sqrt{5}}

Go Edge Length of Great Icosahedron given Long Ridge Length

l e = \frac{10 \cdot l Ridge(Long)}{\sqrt{2} \cdot (5 + (3 \cdot \sqrt{5}))}

Go Edge Length of Great Icosahedron given Short Ridge Length

l e = \frac{5 \cdot l Ridge(Short)}{\sqrt{10}}

Go Edge Length of Great Icosahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{3 \cdot \sqrt{3} \cdot (5 + (4 \cdot \sqrt{5}))}}

How to Evaluate Edge Length of Great Icosahedron given Circumsphere Radius?

Edge Length of Great Icosahedron given Circumsphere Radius evaluator uses Edge Length of Great Icosahedron = (4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))) to evaluate the Edge Length of Great Icosahedron, Edge Length of Great Icosahedron given Circumsphere Radius formula is defined as the length of any of the edges of a Great Icosahedron or the distance between any pair of adjacent vertices of the Great Icosahedron, calculated using circumsphere radius. Edge Length of Great Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Great Icosahedron given Circumsphere Radius

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

The formula of Edge Length of Great Icosahedron given Circumsphere Radius is expressed as Edge Length of Great Icosahedron = (4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). Here is an example- 10.04057 = (4*25)/(sqrt(50+(22*sqrt(5)))).

How to calculate Edge Length of Great Icosahedron given Circumsphere Radius?

With Circumsphere Radius of Great Icosahedron (r_c) we can find Edge Length of Great Icosahedron given Circumsphere Radius using the formula - Edge Length of Great Icosahedron = (4*Circumsphere Radius of Great Icosahedron)/(sqrt(50+(22*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Great Icosahedron=(2*Mid Ridge Length of Great Icosahedron)/(1+sqrt(5))
Edge Length of Great Icosahedron=(10*Long Ridge Length of Great Icosahedron)/(sqrt(2)*(5+(3*sqrt(5))))
Edge Length of Great Icosahedron=(5*Short Ridge Length of Great Icosahedron)/sqrt(10)

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

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

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

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

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