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Perimeter of Dodecahedron given Insphere Radius Formula

GoPerimeter of Dodecahedron Formula

GoPerimeter of Dodecahedron given Circumsphere Radius Formula

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

P = \frac{60 \cdot r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

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

Perimeter of Dodecahedron given Insphere Radius Example

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

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

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

296.3585 = \frac{60 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

296.3585m = \frac{60 \cdot 11m}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

296.3585 = \frac{60 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

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Perimeter of Dodecahedron given Insphere Radius Solution

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

FIRST Step Consider the formula

P = \frac{60 \cdot r i}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Substitute values of Variables

∴

P = \frac{60 \cdot 11m}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Prepare to Evaluate

∴

P = \frac{60 \cdot 11}{\sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}}}

Next Step Evaluate

∴

P = 296.358464542526m

LAST Step Rounding Answer

∴

P = 296.3585m

Perimeter of Dodecahedron given Insphere Radius Formula Elements

Variables

Functions

Perimeter of Dodecahedron

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Dodecahedron

Insphere Radius of Dodecahedron

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron 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 Dodecahedron

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 Dodecahedron

Go Perimeter of Dodecahedron

P = 30 \cdot l e

Go Perimeter of Dodecahedron given Circumsphere Radius

P = \frac{120 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Go Perimeter of Dodecahedron given Face Area

P = 30 \cdot \sqrt{\frac{12 \cdot A Face}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

Go Perimeter of Dodecahedron given Face Diagonal

P = \frac{60 \cdot d Face}{1 + \sqrt{5}}

How to Evaluate Perimeter of Dodecahedron given Insphere Radius?

Perimeter of Dodecahedron given Insphere Radius evaluator uses Perimeter of Dodecahedron = (60*Insphere Radius of Dodecahedron)/sqrt((25+(11*sqrt(5)))/10) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Insphere Radius formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the insphere radius of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Insphere Radius

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

The formula of Perimeter of Dodecahedron given Insphere Radius is expressed as Perimeter of Dodecahedron = (60*Insphere Radius of Dodecahedron)/sqrt((25+(11*sqrt(5)))/10). Here is an example- 296.3585 = (60*11)/sqrt((25+(11*sqrt(5)))/10).

How to calculate Perimeter of Dodecahedron given Insphere Radius?

With Insphere Radius of Dodecahedron (r_i) we can find Perimeter of Dodecahedron given Insphere Radius using the formula - Perimeter of Dodecahedron = (60*Insphere Radius of Dodecahedron)/sqrt((25+(11*sqrt(5)))/10). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Dodecahedron?

Here are the different ways to Calculate Perimeter of Dodecahedron-

Perimeter of Dodecahedron=30*Edge Length of Dodecahedron
Perimeter of Dodecahedron=(120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5)))
Perimeter of Dodecahedron=30*sqrt((12*Face Area of Dodecahedron)/(3*sqrt(25+(10*sqrt(5)))))

Can the Perimeter of Dodecahedron given Insphere Radius be negative?

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

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

Perimeter of Dodecahedron 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 Dodecahedron given Insphere Radius can be measured.

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