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Edge Length of Truncated Icosahedron given Circumsphere Radius Formula

GoEdge Length of Truncated Icosahedron given Midsphere Radius Formula

GoEdge Length of Truncated Icosahedron given Volume Formula

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Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron. Check FAQs

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

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

Edge Length of Truncated Icosahedron given Circumsphere Radius Example

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

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

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

10.0887 = \frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}}

10.0887m = \frac{4 \cdot 25m}{\sqrt{58 + (18 \cdot \sqrt{5})}}

10.0887 = \frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}}

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

Edge Length of Truncated Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Next Step Substitute values of Variables

∴

l e = \frac{4 \cdot 25m}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

l e = \frac{4 \cdot 25}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Next Step Evaluate

∴

l e = 10.0887053083799m

LAST Step Rounding Answer

∴

l e = 10.0887m

Edge Length of Truncated Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

Edge Length of Truncated Icosahedron

Edge Length of Truncated Icosahedron is the length of any edge of the Truncated Icosahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Icosahedron

Circumsphere Radius of Truncated Icosahedron

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

Go Edge Length of Truncated Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Other formulas in Edge Length of Truncated Icosahedron category

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

Go Circumsphere Radius of Truncated Icosahedron

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot l e

Go Midsphere Radius of Truncated Icosahedron

r m = \frac{3 \cdot (1 + \sqrt{5})}{4} \cdot l e

Go Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

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

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

Edge Length of Truncated Icosahedron given Circumsphere Radius evaluator uses Edge Length of Truncated Icosahedron = (4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))) to evaluate the Edge Length of Truncated Icosahedron, Edge Length of Truncated Icosahedron given Circumsphere Radius formula is defined as the length of any edge of the Truncated Icosahedron, and calculated using the circumsphere radius of the Truncated Icosahedron. Edge Length of Truncated Icosahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Icosahedron given Circumsphere Radius

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

The formula of Edge Length of Truncated Icosahedron given Circumsphere Radius is expressed as Edge Length of Truncated Icosahedron = (4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))). Here is an example- 10.08871 = (4*25)/(sqrt(58+(18*sqrt(5)))).

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

With Circumsphere Radius of Truncated Icosahedron (r_c) we can find Edge Length of Truncated Icosahedron given Circumsphere Radius using the formula - Edge Length of Truncated Icosahedron = (4*Circumsphere Radius of Truncated Icosahedron)/(sqrt(58+(18*sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

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

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

Edge Length of Truncated Icosahedron=(4*Midsphere Radius of Truncated Icosahedron)/(3*(1+sqrt(5)))
Edge Length of Truncated Icosahedron=((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)

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

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

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

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

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