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Perimeter of Icosahedron given Midsphere Radius Formula

GoPerimeter of Icosahedron Formula

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 = \frac{120 \cdot r m}{1 + \sqrt{5}}

P - Perimeter of Icosahedron?r_m - Midsphere Radius of Icosahedron?

Perimeter of Icosahedron given Midsphere Radius Example

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

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

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

296.6563 = \frac{120 \cdot 8}{1 + \sqrt{5}}

296.6563m = \frac{120 \cdot 8m}{1 + \sqrt{5}}

296.6563 = \frac{120 \cdot 8}{1 + \sqrt{5}}

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Perimeter of Icosahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

P = \frac{120 \cdot r m}{1 + \sqrt{5}}

Next Step Substitute values of Variables

∴

P = \frac{120 \cdot 8m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

P = \frac{120 \cdot 8}{1 + \sqrt{5}}

Next Step Evaluate

∴

P = 296.656314599949m

LAST Step Rounding Answer

∴

P = 296.6563m

Perimeter of Icosahedron given Midsphere Radius 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

Midsphere Radius of Icosahedron

The Midsphere Radius of Icosahedron is defined as radius of the sphere for which all the edges of the Icosahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere 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 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 Face Area

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

Go Perimeter of Icosahedron given Insphere Radius

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

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 Midsphere Radius?

Perimeter of Icosahedron given Midsphere Radius evaluator uses Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5)) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Midsphere Radius formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the midsphere radius of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Midsphere Radius

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

The formula of Perimeter of Icosahedron given Midsphere Radius is expressed as Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5)). Here is an example- 296.6563 = (120*8)/(1+sqrt(5)).

How to calculate Perimeter of Icosahedron given Midsphere Radius?

With Midsphere Radius of Icosahedron (r_m) we can find Perimeter of Icosahedron given Midsphere Radius using the formula - Perimeter of Icosahedron = (120*Midsphere Radius of Icosahedron)/(1+sqrt(5)). 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=30*sqrt((4*Face Area of Icosahedron)/sqrt(3))

Can the Perimeter of Icosahedron given Midsphere Radius be negative?

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

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

Perimeter of Icosahedron given Midsphere Radius 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 Midsphere Radius can be measured.

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