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Perimeter of Icosahedron given Face Area Formula

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GoPerimeter of Icosahedron given Circumsphere Radius Formula

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Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron. Check FAQs

P = 30 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

P - Perimeter of Icosahedron?A_Face - Face Area of Icosahedron?

Perimeter of Icosahedron given Face Area Example

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

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

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

305.828 = 30 \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

305.828m = 30 \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

305.828 = 30 \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

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Perimeter of Icosahedron given Face Area Solution

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

FIRST Step Consider the formula

P = 30 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{3}}}

Next Step Substitute values of Variables

∴

P = 30 \cdot \sqrt{\frac{4 \cdot 45m²}{\sqrt{3}}}

Next Step Prepare to Evaluate

∴

P = 30 \cdot \sqrt{\frac{4 \cdot 45}{\sqrt{3}}}

Next Step Evaluate

∴

P = 305.827964072482m

LAST Step Rounding Answer

∴

P = 305.828m

Perimeter of Icosahedron given Face Area Formula Elements

Variables

Functions

Perimeter of Icosahedron

Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Icosahedron

Face Area of Icosahedron

The Face Area of Icosahedron is the amount of space occupied by any one of the 12 faces of Icosahedron.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Perimeter of Icosahedron

Go Perimeter of Icosahedron

P = 30 \cdot l e

Go Perimeter of Icosahedron given Circumsphere Radius

P = \frac{120 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}}

Go Perimeter of Icosahedron given Insphere Radius

P = \frac{360 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

Go Perimeter of Icosahedron given Lateral Surface Area

P = 30 \cdot \sqrt{\frac{2 \cdot LSA}{9 \cdot \sqrt{3}}}

Other formulas in Perimeter of Icosahedron category

Go Perimeter of Icosahedron given Volume

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

How to Evaluate Perimeter of Icosahedron given Face Area?

Perimeter of Icosahedron given Face Area evaluator uses Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3)) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Face Area formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the face area of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Face Area

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

The formula of Perimeter of Icosahedron given Face Area is expressed as Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3)). Here is an example- 305.828 = 30*sqrt((4*45)/sqrt(3)).

How to calculate Perimeter of Icosahedron given Face Area?

With Face Area of Icosahedron (A_Face) we can find Perimeter of Icosahedron given Face Area using the formula - Perimeter of Icosahedron = 30*sqrt((4*Face Area of Icosahedron)/sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Icosahedron?

Here are the different ways to Calculate Perimeter of Icosahedron-

Perimeter of Icosahedron=30*Edge Length of Icosahedron
Perimeter of Icosahedron=(120*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5))))
Perimeter of Icosahedron=(360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5)))

Can the Perimeter of Icosahedron given Face Area be negative?

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

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

Perimeter of Icosahedron given Face Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Perimeter of Icosahedron given Face Area can be measured.

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