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Circumsphere Radius of Dodecahedron given 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 (1 + \sqrt{5}) \cdot \frac{P}{120}

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

Circumsphere Radius of Dodecahedron given Perimeter Example

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

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

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

14.0126 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{120}

14.0126m = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300m}{120}

14.0126 = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{120}

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Circumsphere Radius of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300m}{120}

Next Step Prepare to Evaluate

∴

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{300}{120}

Next Step Evaluate

∴

r c = 14.0125853844407m

LAST Step Rounding Answer

∴

r c = 14.0126m

Circumsphere Radius of Dodecahedron given 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

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

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 Perimeter?

Circumsphere Radius of Dodecahedron given Perimeter evaluator uses Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/120 to evaluate the Circumsphere Radius of Dodecahedron, The Circumsphere Radius of Dodecahedron given Perimeter formula is defined as the radius of the sphere that contains the Dodecahedron in such a way that all the vertices of the Cube are touching the sphere, and calculated using the perimeter of the Dodecahedron. Circumsphere Radius of Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Dodecahedron given Perimeter

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

The formula of Circumsphere Radius of Dodecahedron given Perimeter is expressed as Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/120. Here is an example- 14.01259 = sqrt(3)*(1+sqrt(5))*300/120.

How to calculate Circumsphere Radius of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Circumsphere Radius of Dodecahedron given Perimeter using the formula - Circumsphere Radius of Dodecahedron = sqrt(3)*(1+sqrt(5))*Perimeter of Dodecahedron/120. 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 Perimeter be negative?

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

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

Circumsphere Radius of Dodecahedron given 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 Perimeter can be measured.

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