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Perimeter of Icosahedron given Insphere 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{360 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})}

P - Perimeter of Icosahedron?r_i - Insphere Radius of Icosahedron?

Perimeter of Icosahedron given Insphere Radius Example

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

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

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

277.8655 = \frac{360 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

277.8655m = \frac{360 \cdot 7m}{\sqrt{3} \cdot (3 + \sqrt{5})}

277.8655 = \frac{360 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

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Perimeter of Icosahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{360 \cdot 7m}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

P = \frac{360 \cdot 7}{\sqrt{3} \cdot (3 + \sqrt{5})}

Next Step Evaluate

∴

P = 277.865506064835m

LAST Step Rounding Answer

∴

P = 277.8655m

Perimeter of Icosahedron given Insphere 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

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 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 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 Insphere Radius?

Perimeter of Icosahedron given Insphere Radius evaluator uses Perimeter of Icosahedron = (360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))) to evaluate the Perimeter of Icosahedron, The Perimeter of Icosahedron given Insphere Radius formula is defined as the sum of the total distance around all the edges of the Icosahedron and is calculated using the insphere radius of the Icosahedron. Perimeter of Icosahedron is denoted by P symbol.

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

FAQs on Perimeter of Icosahedron given Insphere Radius

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

The formula of Perimeter of Icosahedron given Insphere Radius is expressed as Perimeter of Icosahedron = (360*Insphere Radius of Icosahedron)/(sqrt(3)*(3+sqrt(5))). Here is an example- 277.8655 = (360*7)/(sqrt(3)*(3+sqrt(5))).

How to calculate Perimeter of Icosahedron given Insphere Radius?

With Insphere Radius of Icosahedron (r_i) we can find Perimeter of Icosahedron given Insphere Radius using the formula - Perimeter of Icosahedron = (360*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 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 Insphere Radius be negative?

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

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

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 Perimeter of Icosahedron given Insphere Radius can be measured.

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