FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length Formula

GoCircumsphere Radius of Truncated Dodecahedron Formula

GoCircumsphere Radius of Truncated Dodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{l e(Dodecahedron)}{\sqrt{5}}

r_c - Circumsphere Radius of Truncated Dodecahedron?l_{e(Dodecahedron)} - Dodecahedral Edge Length of Truncated Dodecahedron?

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length Example

With values

With units

Only example

Here is how the Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Values.

Here is how the Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like with Units.

Here is how the Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length equation looks like.

29.2155 = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{22}{\sqrt{5}}

29.2155m = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{22m}{\sqrt{5}}

29.2155 = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{22}{\sqrt{5}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length Solution

Follow our step by step solution on how to calculate Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length?

FIRST Step Consider the formula

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{l e(Dodecahedron)}{\sqrt{5}}

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{22m}{\sqrt{5}}

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \frac{22}{\sqrt{5}}

Next Step Evaluate

∴

r c = 29.2155153628378m

LAST Step Rounding Answer

∴

r c = 29.2155m

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length Formula Elements

Variables

Functions

Circumsphere Radius of Truncated Dodecahedron

Circumsphere Radius of Truncated Dodecahedron is the radius of the sphere that contains the Truncated 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 Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron

Dodecahedral Edge Length of Truncated Dodecahedron is the length of any edge of the larger dodecahedron from which the corners are cut to form the Truncated Dodecahedron.

Symbol: l_{e(Dodecahedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Dodecahedral Edge Length of Truncated 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 Truncated Dodecahedron

Go Circumsphere Radius of Truncated Dodecahedron

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot l e

Go Circumsphere Radius of Truncated Dodecahedron given Total Surface Area

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot \sqrt{\frac{TSA}{5 \cdot (\sqrt{3} + (6 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})))}}

Go Circumsphere Radius of Truncated Dodecahedron given Volume

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot {(\frac{12 \cdot V}{5 \cdot (99 + (47 \cdot \sqrt{5}))})}^{\frac{1}{3}}

Go Circumsphere Radius of Truncated Dodecahedron given Midsphere Radius

r c = \sqrt{74 + (30 \cdot \sqrt{5})} \cdot \frac{r m}{5 + (3 \cdot \sqrt{5})}

How to Evaluate Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length?

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length evaluator uses Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5) to evaluate the Circumsphere Radius of Truncated Dodecahedron, Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length formula is defined as the radius of the sphere that contains the Truncated Dodecahedron in such a way that all the vertices are lying on the sphere, and calculated using the dodecahedral edge length of the Truncated Dodecahedron. Circumsphere Radius of Truncated Dodecahedron is denoted by r_c symbol.

How to evaluate Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length using this online evaluator? To use this online evaluator for Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length, enter Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) and hit the calculate button.

FAQs on Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length

What is the formula to find Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length?

The formula of Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length is expressed as Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5). Here is an example- 29.21552 = sqrt(74+(30*sqrt(5)))/4*22/sqrt(5).

How to calculate Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length?

With Dodecahedral Edge Length of Truncated Dodecahedron (l_{e(Dodecahedron)}) we can find Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length using the formula - Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5). This formula also uses Square Root (sqrt) function(s).

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

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

Circumsphere Radius of Truncated Dodecahedron=sqrt(74+(30*sqrt(5)))/4*Edge Length of Truncated Dodecahedron
Circumsphere Radius of Truncated Dodecahedron=sqrt(74+(30*sqrt(5)))/4*sqrt(Total Surface Area of Truncated Dodecahedron/(5*(sqrt(3)+(6*(sqrt(5+(2*sqrt(5))))))))
Circumsphere Radius of Truncated Dodecahedron=sqrt(74+(30*sqrt(5)))/4*((12*Volume of Truncated Dodecahedron)/(5*(99+(47*sqrt(5)))))^(1/3)

Can the Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length be negative?

No, the Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length, measured in Length cannot be negative.

Which unit is used to measure Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length?

Circumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length 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 Truncated Dodecahedron given Dodecahedral Edge Length can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit