FormulaDen.com

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

Midsphere Radius of Pentakis Dodecahedron given Insphere Radius Formula

GoMidsphere Radius of Pentakis Dodecahedron Formula

GoMidsphere Radius of Pentakis Dodecahedron given Surface to Volume Ratio Formula

Fx Copy

LaTeX Copy

Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere. Check FAQs

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

r_m - Midsphere Radius of Pentakis Dodecahedron?r_i - Insphere Radius of Pentakis Dodecahedron?

Midsphere Radius of Pentakis Dodecahedron given Insphere Radius Example

With values

With units

Only example

Here is how the Midsphere Radius of Pentakis Dodecahedron given Insphere Radius equation looks like with Values.

Here is how the Midsphere Radius of Pentakis Dodecahedron given Insphere Radius equation looks like with Units.

Here is how the Midsphere Radius of Pentakis Dodecahedron given Insphere Radius equation looks like.

12.252 = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

12.252m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

12.252 = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

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 Midsphere Radius of Pentakis Dodecahedron given Insphere Radius

Midsphere Radius of Pentakis Dodecahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Midsphere Radius of Pentakis Dodecahedron given Insphere Radius?

FIRST Step Consider the formula

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot r i}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Substitute values of Variables

∴

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot 12m}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Prepare to Evaluate

∴

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{2 \cdot 12}{3 \cdot (\sqrt{\frac{81 + (35 \cdot \sqrt{5})}{218}})})

Next Step Evaluate

∴

r m = 12.2519980484818m

LAST Step Rounding Answer

∴

r m = 12.252m

Midsphere Radius of Pentakis Dodecahedron given Insphere Radius Formula Elements

Variables

Functions

Midsphere Radius of Pentakis Dodecahedron

Midsphere Radius of Pentakis Dodecahedron is the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Pentakis Dodecahedron

Insphere Radius of Pentakis Dodecahedron

Insphere Radius of Pentakis Dodecahedron is the radius of the sphere that is contained by the Pentakis Dodecahedron in such a way that all the faces just touch the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Pentakis 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 Midsphere Radius of Pentakis Dodecahedron

Go Midsphere Radius of Pentakis Dodecahedron

r m = (\frac{l Base}{4}) \cdot (3 + \sqrt{5})

Go Midsphere Radius of Pentakis Dodecahedron given Surface to Volume Ratio

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{\frac{76}{19}}{R A/V}) \cdot (\frac{\sqrt{(413 + (162 \cdot \sqrt{5}))}}{23 + (11 \cdot \sqrt{5})})

Go Midsphere Radius of Pentakis Dodecahedron given Leg Length

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\frac{38 \cdot l Leg}{3 \cdot (9 + \sqrt{5})})

Go Midsphere Radius of Pentakis Dodecahedron given Total Surface Area

r m = (\frac{3 + \sqrt{5}}{4}) \cdot (\sqrt{\frac{19 \cdot TSA}{15 \cdot (\sqrt{413 + (162 \cdot \sqrt{5})})}})

How to Evaluate Midsphere Radius of Pentakis Dodecahedron given Insphere Radius?

Midsphere Radius of Pentakis Dodecahedron given Insphere Radius evaluator uses Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))) to evaluate the Midsphere Radius of Pentakis Dodecahedron, Midsphere Radius of Pentakis Dodecahedron given Insphere Radius formula is defined as the radius of the sphere for which all the edges of the Pentakis Dodecahedron become a tangent line on that sphere, calculated using the insphere radius of the Pentakis Dodecahedron. Midsphere Radius of Pentakis Dodecahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Pentakis Dodecahedron given Insphere Radius using this online evaluator? To use this online evaluator for Midsphere Radius of Pentakis Dodecahedron given Insphere Radius, enter Insphere Radius of Pentakis Dodecahedron (r_i) and hit the calculate button.

FAQs on Midsphere Radius of Pentakis Dodecahedron given Insphere Radius

What is the formula to find Midsphere Radius of Pentakis Dodecahedron given Insphere Radius?

The formula of Midsphere Radius of Pentakis Dodecahedron given Insphere Radius is expressed as Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))). Here is an example- 12.252 = ((3+sqrt(5))/4)*((2*12)/(3*(sqrt((81+(35*sqrt(5)))/218)))).

How to calculate Midsphere Radius of Pentakis Dodecahedron given Insphere Radius?

With Insphere Radius of Pentakis Dodecahedron (r_i) we can find Midsphere Radius of Pentakis Dodecahedron given Insphere Radius using the formula - Midsphere Radius of Pentakis Dodecahedron = ((3+sqrt(5))/4)*((2*Insphere Radius of Pentakis Dodecahedron)/(3*(sqrt((81+(35*sqrt(5)))/218)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Pentakis Dodecahedron?

Here are the different ways to Calculate Midsphere Radius of Pentakis Dodecahedron-

Midsphere Radius of Pentakis Dodecahedron=(Base Length of Pentakis Dodecahedron/4)*(3+sqrt(5))
Midsphere Radius of Pentakis Dodecahedron=((3+sqrt(5))/4)*((76/19)/(Surface to Volume Ratio of Pentakis Dodecahedron))*(sqrt((413+(162*sqrt(5))))/(23+(11*sqrt(5))))
Midsphere Radius of Pentakis Dodecahedron=((3+sqrt(5))/4)*((38*Leg Length of Pentakis Dodecahedron)/(3*(9+sqrt(5))))

Can the Midsphere Radius of Pentakis Dodecahedron given Insphere Radius be negative?

No, the Midsphere Radius of Pentakis Dodecahedron given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Pentakis Dodecahedron given Insphere Radius?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit