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Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Formula

GoCircumsphere Radius of Truncated Icosahedron Formula

GoCircumsphere Radius of Truncated Icosahedron given Total Surface Area 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})}}{12} \cdot l e(Icosahedron)

r_c - Circumsphere Radius of Truncated Icosahedron?l_{e(Icosahedron)} - Icosahedral Edge Length of Truncated Icosahedron?

Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Example

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

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

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

24.7802 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot 30

24.7802m = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot 30m

24.7802 = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot 30

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Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot l e(Icosahedron)

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot 30m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{12} \cdot 30

Next Step Evaluate

∴

r c = 24.7801865906762m

LAST Step Rounding Answer

∴

r c = 24.7802m

Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length 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

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 Circumsphere Radius of Truncated Icosahedron

Go Circumsphere Radius of Truncated Icosahedron

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

Go Circumsphere Radius of Truncated Icosahedron given Total Surface Area

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}}

Go Circumsphere Radius of Truncated Icosahedron given Volume

r c = \frac{\sqrt{58 + (18 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Circumsphere Radius of Truncated Icosahedron given Midsphere Radius

r c = \sqrt{58 + (18 \cdot \sqrt{5})} \cdot \frac{r m}{3 \cdot (1 + \sqrt{5})}

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

Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length evaluator uses Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/12*Icosahedral Edge Length of Truncated Icosahedron to evaluate the Circumsphere Radius of Truncated Icosahedron, Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length 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, and calculated using the icosahedral edge length of the Truncated Icosahedron. Circumsphere Radius of Truncated Icosahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length using this online evaluator? To use this online evaluator for Circumsphere 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 Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length

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

The formula of Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length is expressed as Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/12*Icosahedral Edge Length of Truncated Icosahedron. Here is an example- 24.78019 = (sqrt(58+(18*sqrt(5))))/12*30.

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

With Icosahedral Edge Length of Truncated Icosahedron (l_{e(Icosahedron)}) we can find Circumsphere Radius of Truncated Icosahedron given Icosahedral Edge Length using the formula - Circumsphere Radius of Truncated Icosahedron = (sqrt(58+(18*sqrt(5))))/12*Icosahedral Edge Length of Truncated Icosahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*Edge Length of Truncated Icosahedron
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5))))))
Circumsphere Radius of Truncated Icosahedron=(sqrt(58+(18*sqrt(5))))/4*((4*Volume of Truncated Icosahedron)/(125+(43*sqrt(5))))^(1/3)

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

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

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

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

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