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 Formula

GoCircumsphere Radius of Truncated Dodecahedron given Dodecahedral Edge Length 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 l e

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

Circumsphere Radius of Truncated Dodecahedron Example

With values

With units

Only example

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

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

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

29.6945 = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot 10

29.6945m = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot 10m

29.6945 = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot 10

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

Circumsphere Radius of Truncated Dodecahedron Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot 10m

Next Step Prepare to Evaluate

∴

r c = \frac{\sqrt{74 + (30 \cdot \sqrt{5})}}{4} \cdot 10

Next Step Evaluate

∴

r c = 29.694490158634m

LAST Step Rounding Answer

∴

r c = 29.6945m

Circumsphere Radius of Truncated Dodecahedron 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

Edge Length of Truncated Dodecahedron

Edge Length of Truncated Dodecahedron is the length of any edge of the Truncated Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 given Dodecahedral Edge Length

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

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?

Circumsphere Radius of Truncated Dodecahedron evaluator uses Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Edge Length of Truncated Dodecahedron to evaluate the Circumsphere Radius of Truncated Dodecahedron, Circumsphere Radius of Truncated Dodecahedron 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. Circumsphere Radius of Truncated Dodecahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Truncated Dodecahedron

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

The formula of Circumsphere Radius of Truncated Dodecahedron is expressed as Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Edge Length of Truncated Dodecahedron. Here is an example- 29.69449 = sqrt(74+(30*sqrt(5)))/4*10.

How to calculate Circumsphere Radius of Truncated Dodecahedron?

With Edge Length of Truncated Dodecahedron (l_e) we can find Circumsphere Radius of Truncated Dodecahedron using the formula - Circumsphere Radius of Truncated Dodecahedron = sqrt(74+(30*sqrt(5)))/4*Edge Length of Truncated Dodecahedron. 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*Dodecahedral Edge Length of Truncated Dodecahedron/sqrt(5)
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 be negative?

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

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

Circumsphere Radius of Truncated 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 Truncated Dodecahedron can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit