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Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Formula

GoMidsphere Radius of Truncated Icosahedron Formula

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Midsphere Radius of Truncated Icosahedron is the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere. Check FAQs

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

r_m - Midsphere Radius of Truncated Icosahedron?l_{e(Icosahedron)} - Icosahedral Edge Length of Truncated Icosahedron?

Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Example

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

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

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

24.2705 = \frac{1 + \sqrt{5}}{4} \cdot 30

24.2705m = \frac{1 + \sqrt{5}}{4} \cdot 30m

24.2705 = \frac{1 + \sqrt{5}}{4} \cdot 30

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Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = \frac{1 + \sqrt{5}}{4} \cdot 30m

Next Step Prepare to Evaluate

∴

r m = \frac{1 + \sqrt{5}}{4} \cdot 30

Next Step Evaluate

∴

r m = 24.2705098312484m

LAST Step Rounding Answer

∴

r m = 24.2705m

Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Formula Elements

Variables

Functions

Midsphere Radius of Truncated Icosahedron

Midsphere Radius of Truncated Icosahedron is the radius of the sphere for which all the edges of the Truncated 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 Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron

Icosahedral Edge Length of Truncated Icosahedron is the length of any edge of the larger Icosahedron from which the corners are cut to form the Truncated Icosahedron.

Symbol: l_{e(Icosahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Icosahedral Edge Length 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 Midsphere Radius of Truncated Icosahedron

Go Midsphere Radius of Truncated Icosahedron

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

Other formulas in Midsphere Radius of Truncated Icosahedron category

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

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

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}}

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

How to Evaluate Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length?

Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length evaluator uses Midsphere Radius of Truncated Icosahedron = (1+sqrt(5))/4*Icosahedral Edge Length of Truncated Icosahedron to evaluate the Midsphere Radius of Truncated Icosahedron, Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length formula is defined as the radius of the sphere for which all the edges of the Truncated Icosahedron become a tangent line on that sphere, and calculated using the icosahedral edge length of the Truncated Icosahedron. Midsphere Radius of Truncated Icosahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

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

The formula of Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length is expressed as Midsphere Radius of Truncated Icosahedron = (1+sqrt(5))/4*Icosahedral Edge Length of Truncated Icosahedron. Here is an example- 24.27051 = (1+sqrt(5))/4*30.

How to calculate Midsphere Radius of Truncated Icosahedron given Icosahedral Edge Length?

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

What are the other ways to Calculate Midsphere Radius of Truncated Icosahedron?

Here are the different ways to Calculate Midsphere Radius of Truncated Icosahedron-

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

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

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

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

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

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