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Perimeter of Dodecahedron given Circumsphere Radius Formula

GoPerimeter of Dodecahedron Formula

GoPerimeter of Dodecahedron given Total Surface Area 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{120 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

P - Perimeter of Dodecahedron?r_c - Circumsphere Radius of Dodecahedron?

Perimeter of Dodecahedron given Circumsphere Radius Example

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

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

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

299.7306 = \frac{120 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

299.7306m = \frac{120 \cdot 14m}{\sqrt{3} \cdot (1 + \sqrt{5})}

299.7306 = \frac{120 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

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Perimeter of Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

P = \frac{120 \cdot 14m}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

P = \frac{120 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

P = 299.730555409396m

LAST Step Rounding Answer

∴

P = 299.7306m

Perimeter of Dodecahedron given Circumsphere 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

Circumsphere Radius of Dodecahedron

Circumsphere Radius of Dodecahedron is the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 Total Surface Area

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

Other formulas in Perimeter of Dodecahedron category

Go Face Perimeter of Dodecahedron

P Face = 5 \cdot l e

Go Face Perimeter of Dodecahedron given Face Area

P Face = 5 \cdot \sqrt{\frac{4 \cdot A Face}{\sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Perimeter of Dodecahedron given Circumsphere Radius?

Perimeter of Dodecahedron given Circumsphere Radius evaluator uses Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))) to evaluate the Perimeter of Dodecahedron, The Perimeter of Dodecahedron given Circumsphere Radius formula is defined as the sum of the total distance around all the edges of the Dodecahedron and is calculated using the circumsphere radius of the Dodecahedron. Perimeter of Dodecahedron is denoted by P symbol.

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

FAQs on Perimeter of Dodecahedron given Circumsphere Radius

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

The formula of Perimeter of Dodecahedron given Circumsphere Radius is expressed as Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))). Here is an example- 299.7306 = (120*14)/(sqrt(3)*(1+sqrt(5))).

How to calculate Perimeter of Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Dodecahedron (r_c) we can find Perimeter of Dodecahedron given Circumsphere Radius using the formula - Perimeter of Dodecahedron = (120*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(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=30*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Perimeter of Dodecahedron given Circumsphere Radius be negative?

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

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

Perimeter of Dodecahedron given Circumsphere 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 Circumsphere Radius can be measured.

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