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Circumsphere Radius of Icosahedron given Face Perimeter Formula

GoCircumsphere Radius of Icosahedron Formula

GoCircumsphere Radius of Icosahedron given Insphere Radius Formula

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Circumsphere Radius of Icosahedron is the radius of the sphere that contains the Icosahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{P Face}{12}

r_c - Circumsphere Radius of Icosahedron?P_Face - Face Perimeter of Icosahedron?

Circumsphere Radius of Icosahedron given Face Perimeter Example

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Here is how the Circumsphere Radius of Icosahedron given Face Perimeter equation looks like with Values.

Here is how the Circumsphere Radius of Icosahedron given Face Perimeter equation looks like with Units.

Here is how the Circumsphere Radius of Icosahedron given Face Perimeter equation looks like.

9.5106 = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{12}

9.5106m = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30m}{12}

9.5106 = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{12}

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Circumsphere Radius of Icosahedron given Face Perimeter Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Icosahedron given Face Perimeter?

FIRST Step Consider the formula

r c = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{P Face}{12}

Next Step Substitute values of Variables

∴

r c = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30m}{12}

Next Step Prepare to Evaluate

∴

r c = \sqrt{10 + (2 \cdot \sqrt{5})} \cdot \frac{30}{12}

Next Step Evaluate

∴

r c = 9.51056516295153m

LAST Step Rounding Answer

∴

r c = 9.5106m

Circumsphere Radius of Icosahedron given Face Perimeter Formula Elements

Variables

Functions

Circumsphere Radius of Icosahedron

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

Face Perimeter of Icosahedron

Face Perimeter of Icosahedron is the total distance around the five edges of any face of the Icosahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Perimeter of 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 Icosahedron

Go Circumsphere Radius of Icosahedron

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Icosahedron given Insphere Radius

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Circumsphere Radius of Icosahedron given Midsphere Radius

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{4 \cdot r m}{1 + \sqrt{5}}

Go Circumsphere Radius of Icosahedron given Surface to Volume Ratio

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{12 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

How to Evaluate Circumsphere Radius of Icosahedron given Face Perimeter?

Circumsphere Radius of Icosahedron given Face Perimeter evaluator uses Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/12 to evaluate the Circumsphere Radius of Icosahedron, The Circumsphere Radius of Icosahedron given Face Perimeter formula is defined as the radius of the sphere that contains the Icosahedron in such a way that all the vertices are lying on the sphere and is calculated using the face perimeter of the Icosahedron. Circumsphere Radius of Icosahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Icosahedron given Face Perimeter using this online evaluator? To use this online evaluator for Circumsphere Radius of Icosahedron given Face Perimeter, enter Face Perimeter of Icosahedron (P_Face) and hit the calculate button.

FAQs on Circumsphere Radius of Icosahedron given Face Perimeter

What is the formula to find Circumsphere Radius of Icosahedron given Face Perimeter?

The formula of Circumsphere Radius of Icosahedron given Face Perimeter is expressed as Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/12. Here is an example- 9.510565 = sqrt(10+(2*sqrt(5)))*30/12.

How to calculate Circumsphere Radius of Icosahedron given Face Perimeter?

With Face Perimeter of Icosahedron (P_Face) we can find Circumsphere Radius of Icosahedron given Face Perimeter using the formula - Circumsphere Radius of Icosahedron = sqrt(10+(2*sqrt(5)))*Face Perimeter of Icosahedron/12. This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*Edge Length of Icosahedron
Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*(12*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))
Circumsphere Radius of Icosahedron=sqrt(10+(2*sqrt(5)))/4*(4*Midsphere Radius of Icosahedron)/(1+sqrt(5))

Can the Circumsphere Radius of Icosahedron given Face Perimeter be negative?

No, the Circumsphere Radius of Icosahedron given Face Perimeter, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Icosahedron given Face Perimeter?

Circumsphere Radius of Icosahedron given Face Perimeter 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 Icosahedron given Face Perimeter can be measured.

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