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Circumsphere Radius of Dodecahedron given Face Perimeter Formula

GoCircumsphere Radius of Dodecahedron Formula

GoCircumsphere Radius of Dodecahedron given Volume Formula

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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. Check FAQs

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

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

Circumsphere Radius of Dodecahedron given Face Perimeter Example

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

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

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

14.0126 = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{20} \cdot 50

14.0126m = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{20} \cdot 50m

14.0126 = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{20} \cdot 50

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Circumsphere Radius of Dodecahedron given Face Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{20} \cdot 50m

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{20} \cdot 50

Next Step Evaluate

∴

r c = 14.0125853844407m

LAST Step Rounding Answer

∴

r c = 14.0126m

Circumsphere Radius of Dodecahedron given Face Perimeter Formula Elements

Variables

Functions

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

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

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 Circumsphere Radius of Dodecahedron

Go Circumsphere Radius of Dodecahedron

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{4}

Go Circumsphere Radius of Dodecahedron given Volume

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

Go Circumsphere Radius of Dodecahedron given Face Diagonal

r c = \frac{\sqrt{3}}{2} \cdot d Face

Go Circumsphere Radius of Dodecahedron given Total Surface Area

r c = \sqrt{3} \cdot \frac{1 + \sqrt{5}}{4} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Circumsphere Radius of Dodecahedron given Face Perimeter?

Circumsphere Radius of Dodecahedron given Face Perimeter evaluator uses Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))/20*Face Perimeter of Dodecahedron to evaluate the Circumsphere Radius of Dodecahedron, The Circumsphere Radius of Dodecahedron given Face Perimeter formula is defined as the radius of the sphere that contains the Dodecahedron in such a way that all the vertices are lying on the sphere, and calculated using face perimeter of Dodecahedron. Circumsphere Radius of Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Dodecahedron given Face Perimeter

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

The formula of Circumsphere Radius of Dodecahedron given Face Perimeter is expressed as Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))/20*Face Perimeter of Dodecahedron. Here is an example- 14.01259 = sqrt(3)*(1+sqrt(5))/20*50.

How to calculate Circumsphere Radius of Dodecahedron given Face Perimeter?

With Face Perimeter of Dodecahedron (P_Face) we can find Circumsphere Radius of Dodecahedron given Face Perimeter using the formula - Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))/20*Face Perimeter of Dodecahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Circumsphere Radius of Dodecahedron?

Here are the different ways to Calculate Circumsphere Radius of Dodecahedron-

Circumsphere Radius of Dodecahedron=sqrt(3)*(1+sqrt(5))*Edge Length of Dodecahedron/4
Circumsphere Radius of Dodecahedron=sqrt(3)*(1+sqrt(5))/4*((4*Volume of Dodecahedron)/(15+(7*sqrt(5))))^(1/3)
Circumsphere Radius of Dodecahedron=sqrt(3)/2*Face Diagonal of Dodecahedron

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

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

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

Circumsphere Radius of Dodecahedron given Face Perimeter is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Circumsphere Radius of Dodecahedron given Face Perimeter can be measured.

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