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Perimeter of Dodecahedron given Midsphere 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{120 \cdot r m}{3 + \sqrt{5}}

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

Perimeter of Dodecahedron given Midsphere Radius Example

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

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

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

297.9335 = \frac{120 \cdot 13}{3 + \sqrt{5}}

297.9335m = \frac{120 \cdot 13m}{3 + \sqrt{5}}

297.9335 = \frac{120 \cdot 13}{3 + \sqrt{5}}

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Perimeter of Dodecahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

P = \frac{120 \cdot r m}{3 + \sqrt{5}}

Next Step Substitute values of Variables

∴

P = \frac{120 \cdot 13m}{3 + \sqrt{5}}

Next Step Prepare to Evaluate

∴

P = \frac{120 \cdot 13}{3 + \sqrt{5}}

Next Step Evaluate

∴

P = 297.933488775082m

LAST Step Rounding Answer

∴

P = 297.9335m

Perimeter of Dodecahedron given Midsphere 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

Midsphere Radius of Dodecahedron

The Midsphere Radius of Dodecahedron is defined as radius of the sphere for which all the edges of the Dodecahedron 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 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 Midsphere Radius?

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

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

FAQs on Perimeter of Dodecahedron given Midsphere Radius

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

The formula of Perimeter of Dodecahedron given Midsphere Radius is expressed as Perimeter of Dodecahedron = (120*Midsphere Radius of Dodecahedron)/(3+sqrt(5)). Here is an example- 297.9335 = (120*13)/(3+sqrt(5)).

How to calculate Perimeter of Dodecahedron given Midsphere Radius?

With Midsphere Radius of Dodecahedron (r_m) we can find Perimeter of Dodecahedron given Midsphere Radius using the formula - Perimeter of Dodecahedron = (120*Midsphere Radius of Dodecahedron)/(3+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 Midsphere Radius be negative?

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

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

Perimeter of Dodecahedron 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 Dodecahedron given Midsphere Radius can be measured.

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