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Perimeter of Dodecahedron given Face Diagonal 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 d Face}{1 + \sqrt{5}}

P - Perimeter of Dodecahedron?d_Face - Face Diagonal of Dodecahedron?

Perimeter of Dodecahedron given Face Diagonal Example

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Here is how the Perimeter of Dodecahedron given Face Diagonal equation looks like with Values.

Here is how the Perimeter of Dodecahedron given Face Diagonal equation looks like with Units.

Here is how the Perimeter of Dodecahedron given Face Diagonal equation looks like.

296.6563 = \frac{60 \cdot 16}{1 + \sqrt{5}}

296.6563m = \frac{60 \cdot 16m}{1 + \sqrt{5}}

296.6563 = \frac{60 \cdot 16}{1 + \sqrt{5}}

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Perimeter of Dodecahedron given Face Diagonal Solution

Follow our step by step solution on how to calculate Perimeter of Dodecahedron given Face Diagonal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{60 \cdot 16m}{1 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

P = \frac{60 \cdot 16}{1 + \sqrt{5}}

Next Step Evaluate

∴

P = 296.656314599949m

LAST Step Rounding Answer

∴

P = 296.6563m

Perimeter of Dodecahedron given Face Diagonal 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

Face Diagonal of Dodecahedron

The Face Diagonal of Dodecahedron is defined as the distance between any pair of opposite corners on a particular pentagonal face of the Dodecahedron.

Symbol: d_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face Diagonal 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 Perimeter

P = 6 \cdot P Face

How to Evaluate Perimeter of Dodecahedron given Face Diagonal?

Perimeter of Dodecahedron given Face Diagonal evaluator uses Perimeter of Dodecahedron = (60*Face Diagonal of Dodecahedron)/(1+sqrt(5)) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Face Diagonal formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the face diagonal of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Face Diagonal

What is the formula to find Perimeter of Dodecahedron given Face Diagonal?

The formula of Perimeter of Dodecahedron given Face Diagonal is expressed as Perimeter of Dodecahedron = (60*Face Diagonal of Dodecahedron)/(1+sqrt(5)). Here is an example- 296.6563 = (60*16)/(1+sqrt(5)).

How to calculate Perimeter of Dodecahedron given Face Diagonal?

With Face Diagonal of Dodecahedron (d_Face) we can find Perimeter of Dodecahedron given Face Diagonal using the formula - Perimeter of Dodecahedron = (60*Face Diagonal of Dodecahedron)/(1+sqrt(5)). 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 Face Diagonal be negative?

No, the Perimeter of Dodecahedron given Face Diagonal, measured in Length cannot be negative.

Which unit is used to measure Perimeter of Dodecahedron given Face Diagonal?

Perimeter of Dodecahedron given Face Diagonal 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 Face Diagonal can be measured.

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