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Circumsphere Radius of Great Dodecahedron Formula

GoCircumsphere Radius of Great Dodecahedron given Ridge Length Formula

GoCircumsphere Radius of Great Dodecahedron given Pyramidal Height Formula

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

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

r_c - Circumsphere Radius of Great Dodecahedron?l_e - Edge Length of Great Dodecahedron?

Circumsphere Radius of Great Dodecahedron Example

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

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

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

9.5106 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot 10

9.5106m = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot 10m

9.5106 = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot 10

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Circumsphere Radius of Great Dodecahedron Solution

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

FIRST Step Consider the formula

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot l e

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot 10

Next Step Evaluate

∴

r c = 9.51056516295153m

LAST Step Rounding Answer

∴

r c = 9.5106m

Circumsphere Radius of Great Dodecahedron Formula Elements

Variables

Functions

Circumsphere Radius of Great Dodecahedron

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

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere Radius of Great Dodecahedron

Edge Length of Great Dodecahedron

Edge Length of Great Dodecahedron is the distance between any pair of adjacent peak vertices of the Great Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Great 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 Great Dodecahedron

Go Circumsphere Radius of Great Dodecahedron given Ridge Length

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{2 \cdot l Ridge}{\sqrt{5} - 1}

Go Circumsphere Radius of Great Dodecahedron given Pyramidal Height

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \frac{6 \cdot h Pyramid}{\sqrt{3} \cdot (3 - \sqrt{5})}

Go Circumsphere Radius of Great Dodecahedron given Total Surface Area

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 - (2 \cdot \sqrt{5})}}}

Go Circumsphere Radius of Great Dodecahedron given Volume

r c = \frac{\sqrt{10 + (2 \cdot \sqrt{5})}}{4} \cdot {(\frac{4 \cdot V}{5 \cdot (\sqrt{5} - 1)})}^{\frac{1}{3}}

How to Evaluate Circumsphere Radius of Great Dodecahedron?

Circumsphere Radius of Great Dodecahedron evaluator uses Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*Edge Length of Great Dodecahedron to evaluate the Circumsphere Radius of Great Dodecahedron, Circumsphere Radius of Great Dodecahedron formula is defined as the radius of the sphere that contains the Great Dodecahedron in such a way that all the vertices are lying on sphere. Circumsphere Radius of Great Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Great Dodecahedron using this online evaluator? To use this online evaluator for Circumsphere Radius of Great Dodecahedron, enter Edge Length of Great Dodecahedron (l_e) and hit the calculate button.

FAQs on Circumsphere Radius of Great Dodecahedron

What is the formula to find Circumsphere Radius of Great Dodecahedron?

The formula of Circumsphere Radius of Great Dodecahedron is expressed as Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*Edge Length of Great Dodecahedron. Here is an example- 9.510565 = sqrt(10+(2*sqrt(5)))/4*10.

How to calculate Circumsphere Radius of Great Dodecahedron?

With Edge Length of Great Dodecahedron (l_e) we can find Circumsphere Radius of Great Dodecahedron using the formula - Circumsphere Radius of Great Dodecahedron = sqrt(10+(2*sqrt(5)))/4*Edge Length of Great Dodecahedron. This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1)
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*(6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5)))
Circumsphere Radius of Great Dodecahedron=sqrt(10+(2*sqrt(5)))/4*sqrt(Total Surface Area of Great Dodecahedron/(15*sqrt(5-(2*sqrt(5)))))

Can the Circumsphere Radius of Great Dodecahedron be negative?

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

Which unit is used to measure Circumsphere Radius of Great Dodecahedron?

Circumsphere Radius of Great Dodecahedron 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 Great Dodecahedron can be measured.

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