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Face Perimeter of Icosahedron given Insphere Radius Formula

GoFace Perimeter of Icosahedron given Surface to Volume Ratio Formula

GoFace Perimeter of Icosahedron given Volume 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{36 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

P_Face - Face Perimeter of Icosahedron?r_i - Insphere Radius of Icosahedron?

Face Perimeter of Icosahedron given Insphere Radius Example

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

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

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

27.7866 = \frac{36 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

27.7866m = \frac{36 \cdot 7m}{\sqrt{3} \cdot (3 + \sqrt{5})}

27.7866 = \frac{36 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Face Perimeter of Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

P Face = \frac{36 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Substitute values of Variables

∴

P Face = \frac{36 \cdot 7m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

P Face = \frac{36 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

P Face = 27.7865506064835m

LAST Step Rounding Answer

∴

P Face = 27.7866m

Face Perimeter of Icosahedron given Insphere 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

Insphere Radius of Icosahedron

Insphere Radius of Icosahedron is the radius of the sphere that is contained by the Icosahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere 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 Surface to Volume Ratio

P Face = \frac{36 \cdot \sqrt{3}}{(3 + \sqrt{5}) \cdot R A/V}

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 given Total Surface Area

P Face = 3 \cdot \sqrt{\frac{TSA}{5 \cdot \sqrt{3}}}

Go Face Perimeter of Icosahedron given Midsphere Radius

P Face = \frac{12 \cdot r m}{1 + \sqrt{5}}

How to Evaluate Face Perimeter of Icosahedron given Insphere Radius?

Face Perimeter of Icosahedron given Insphere Radius evaluator uses Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Face Perimeter of Icosahedron, The Face Perimeter of Icosahedron given Insphere Radius formula is defined as the total distance around the three edges of any face of the Icosahedron, and is calculated using the insphere radius of the Icosahedron. Face Perimeter of Icosahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Icosahedron given Insphere Radius

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

The formula of Face Perimeter of Icosahedron given Insphere Radius is expressed as Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 27.78655 = (36*7)/(sqrt(3)*(3+sqrt(5))).

How to calculate Face Perimeter of Icosahedron given Insphere Radius?

With Insphere Radius of Icosahedron (r_i) we can find Face Perimeter of Icosahedron given Insphere Radius using the formula - Face Perimeter of Icosahedron = (36*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))). This formula also uses Square Root (sqrt) 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=(36*sqrt(3))/((3+sqrt(5))*Surface to Volume Ratio of Icosahedron)
Face Perimeter of Icosahedron=3*((12*Volume of Icosahedron)/(5*(3+sqrt(5))))^(1/3)
Face Perimeter of Icosahedron=3*sqrt(Total Surface Area of Icosahedron/(5*sqrt(3)))

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

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

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

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

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