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Face Perimeter of Icosahedron given Circumsphere Radius Formula

GoFace Perimeter of Icosahedron given Volume Formula

GoFace Perimeter of Icosahedron Formula

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

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

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

Face Perimeter of Icosahedron given Circumsphere Radius Example

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

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

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

28.3895 = \frac{12 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

28.3895m = \frac{12 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

28.3895 = \frac{12 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

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3D Geometry » fx Face Perimeter of Icosahedron given Circumsphere Radius

Face Perimeter of Icosahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P Face = \frac{12 \cdot 9m}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Prepare to Evaluate

∴

P Face = \frac{12 \cdot 9}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Next Step Evaluate

∴

P Face = 28.3894800544332m

LAST Step Rounding Answer

∴

P Face = 28.3895m

Face Perimeter of Icosahedron given Circumsphere Radius Formula Elements

Variables

Functions

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

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

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 Face Perimeter of Icosahedron

Go Face Perimeter of Icosahedron given Volume

P Face = 3 \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Go Face Perimeter of Icosahedron

P Face = 3 \cdot l e

Go Perimeter of Icosahedron given Volume

P Face = 30 \cdot {(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Other formulas in Face Perimeter of Icosahedron category

Go Perimeter of Icosahedron

P = 30 \cdot l e

Go Perimeter of Icosahedron given Space Diagonal

P = \frac{60 \cdot d Space}{\sqrt{10 + (2 \cdot \sqrt{5})}}

How to Evaluate Face Perimeter of Icosahedron given Circumsphere Radius?

Face Perimeter of Icosahedron given Circumsphere Radius evaluator uses Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))) to evaluate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron given Circumsphere Radius formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the circumsphere radius of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Icosahedron given Circumsphere Radius

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

The formula of Face Perimeter of Icosahedron given Circumsphere Radius is expressed as Face Perimeter of Icosahedron = (12*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))). Here is an example- 28.38948 = (12*9)/(sqrt(10+(2*sqrt(5)))).

How to calculate Face Perimeter of Icosahedron given Circumsphere Radius?

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

What are the other ways to Calculate Face Perimeter of Icosahedron?

Here are the different ways to Calculate Face Perimeter of Icosahedron-

Face Perimeter of Icosahedron=3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron=3*Edge Length of Icosahedron
Face Perimeter of Icosahedron=30*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)

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

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

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

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

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