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Face Perimeter of Dodecahedron given Circumsphere Radius Formula

GoFace Perimeter of Dodecahedron Formula

GoFace Perimeter of Dodecahedron given Face Area Formula

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Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron. Check FAQs

P Face = \frac{20 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

P_Face - Face Perimeter of Dodecahedron?r_c - Circumsphere Radius of Dodecahedron?

Face Perimeter of Dodecahedron given Circumsphere Radius Example

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

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

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

49.9551 = \frac{20 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

49.9551m = \frac{20 \cdot 14m}{\sqrt{3} \cdot (1 + \sqrt{5})}

49.9551 = \frac{20 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

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3D Geometry » fx Face Perimeter of Dodecahedron given Circumsphere Radius

Face Perimeter of Dodecahedron given Circumsphere Radius Solution

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

FIRST Step Consider the formula

P Face = \frac{20 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Substitute values of Variables

∴

P Face = \frac{20 \cdot 14m}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Prepare to Evaluate

∴

P Face = \frac{20 \cdot 14}{\sqrt{3} \cdot (1 + \sqrt{5})}

Next Step Evaluate

∴

P Face = 49.9550925682326m

LAST Step Rounding Answer

∴

P Face = 49.9551m

Face Perimeter of Dodecahedron given Circumsphere Radius Formula Elements

Variables

Functions

Face Perimeter of Dodecahedron

Face Perimeter of Dodecahedron is the total distance around the five edges of any face of the Dodecahedron.

Symbol: P_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 Face Perimeter of Dodecahedron

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})}}}

Go Face Perimeter of Dodecahedron given Total Surface Area

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

Go Face Perimeter of Dodecahedron given Volume

P Face = 5 \cdot {(\frac{4 \cdot V}{15 + (7 \cdot \sqrt{5})})}^{\frac{1}{3}}

How to Evaluate Face Perimeter of Dodecahedron given Circumsphere Radius?

Face Perimeter of Dodecahedron given Circumsphere Radius evaluator uses Face Perimeter of Dodecahedron = (20*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))) to evaluate the Face Perimeter of Dodecahedron, The Face Perimeter of Dodecahedron given Circumsphere Radius formula is defined as the total distance around the five edges of any face of the Dodecahedron, and calculated using the circumsphere radius of Dodecahedron. Face Perimeter of Dodecahedron is denoted by P_Face symbol.

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

FAQs on Face Perimeter of Dodecahedron given Circumsphere Radius

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

The formula of Face Perimeter of Dodecahedron given Circumsphere Radius is expressed as Face Perimeter of Dodecahedron = (20*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))). Here is an example- 49.95509 = (20*14)/(sqrt(3)*(1+sqrt(5))).

How to calculate Face Perimeter of Dodecahedron given Circumsphere Radius?

With Circumsphere Radius of Dodecahedron (r_c) we can find Face Perimeter of Dodecahedron given Circumsphere Radius using the formula - Face Perimeter of Dodecahedron = (20*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 Face Perimeter of Dodecahedron?

Here are the different ways to Calculate Face Perimeter of Dodecahedron-

Face Perimeter of Dodecahedron=5*Edge Length of Dodecahedron
Face Perimeter of Dodecahedron=5*sqrt((4*Face Area of Dodecahedron)/(sqrt(25+(10*sqrt(5)))))
Face Perimeter of Dodecahedron=5*sqrt(Total Surface Area of Dodecahedron/(3*sqrt(25+(10*sqrt(5)))))

Can the Face Perimeter of Dodecahedron given Circumsphere Radius be negative?

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

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

Face 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 Face Perimeter of Dodecahedron given Circumsphere Radius can be measured.

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