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Circumsphere Radius of Truncated Icosahedron Formula

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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. Check FAQs

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

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

Circumsphere Radius of Truncated Icosahedron Example

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

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

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

24.7802 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot 10

24.7802m = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot 10m

24.7802 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot 10

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Circumsphere Radius of Truncated Icosahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot 10

Next Step Evaluate

∴

r c = 24.7801865906762m

LAST Step Rounding Answer

∴

r c = 24.7802m

Circumsphere Radius of Truncated Icosahedron Formula Elements

Variables

Functions

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

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

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 in Circumsphere 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 Circumsphere Radius of Truncated Icosahedron?

Circumsphere Radius of Truncated Icosahedron evaluator uses Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron to evaluate the Circumsphere Radius of Truncated Icosahedron, Circumsphere Radius of Truncated Icosahedron formula is defined as the radius of the sphere that contains the Truncated Icosahedron in such a way that all the vertices are lying on the sphere. Circumsphere Radius of Truncated Icosahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Icosahedron

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

The formula of Circumsphere Radius of Truncated Icosahedron is expressed as Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron. Here is an example- 24.78019 = (sqrt(58+(18*sqrt(5))))/4*10.

How to calculate Circumsphere Radius of Truncated Icosahedron?

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

Can the Circumsphere Radius of Truncated Icosahedron be negative?

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

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

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

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