FormulaDen.com

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

Insphere Radius of Dodecahedron Formula

GoInsphere Radius of Dodecahedron given Perimeter Formula

Fx Copy

LaTeX Copy

Insphere Radius of Dodecahedron is the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{l e}{2}

r_i - Insphere Radius of Dodecahedron?l_e - Edge Length of Dodecahedron?

Insphere Radius of Dodecahedron Example

With values

With units

Only example

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

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

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

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{10}{2}

11.1352m = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{10m}{2}

11.1352 = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{10}{2}

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 Insphere Radius of Dodecahedron

Insphere Radius of Dodecahedron Solution

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

FIRST Step Consider the formula

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{l e}{2}

Next Step Substitute values of Variables

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{10m}{2}

Next Step Prepare to Evaluate

∴

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{10}{2}

Next Step Evaluate

∴

r i = 11.1351636441161m

LAST Step Rounding Answer

∴

r i = 11.1352m

Insphere Radius of Dodecahedron Formula Elements

Variables

Functions

Insphere Radius of Dodecahedron

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

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Dodecahedron

Edge Length of Dodecahedron

Edge Length of Dodecahedron is the length of any of the edges of a Dodecahedron or the distance between any pair of adjacent vertices of the Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 Insphere Radius of Dodecahedron

Go Insphere Radius of Dodecahedron given Perimeter

r i = \sqrt{\frac{25 + (11 \cdot \sqrt{5})}{10}} \cdot \frac{P}{60}

Other formulas in Insphere Radius of Dodecahedron category

Go Circumsphere Radius of Dodecahedron

r c = \sqrt{3} \cdot (1 + \sqrt{5}) \cdot \frac{l e}{4}

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})}}}

Go Midsphere Radius of Dodecahedron

r m = \frac{3 + \sqrt{5}}{4} \cdot l e

Go Midsphere Radius of Dodecahedron given Lateral Surface Area

r m = \frac{3 + \sqrt{5}}{4} \cdot \sqrt{\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}}}

How to Evaluate Insphere Radius of Dodecahedron?

Insphere Radius of Dodecahedron evaluator uses Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Edge Length of Dodecahedron/2 to evaluate the Insphere Radius of Dodecahedron, Insphere Radius of Dodecahedron formula is defined as the radius of the sphere that is contained by the Dodecahedron in such a way that all the faces just touching the sphere. Insphere Radius of Dodecahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Dodecahedron

What is the formula to find Insphere Radius of Dodecahedron?

The formula of Insphere Radius of Dodecahedron is expressed as Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Edge Length of Dodecahedron/2. Here is an example- 11.13516 = sqrt((25+(11*sqrt(5)))/10)*10/2.

How to calculate Insphere Radius of Dodecahedron?

With Edge Length of Dodecahedron (l_e) we can find Insphere Radius of Dodecahedron using the formula - Insphere Radius of Dodecahedron = sqrt((25+(11*sqrt(5)))/10)*Edge Length of Dodecahedron/2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Dodecahedron?

Here are the different ways to Calculate Insphere Radius of Dodecahedron-

Insphere Radius of Dodecahedron=sqrt((25+(11*sqrt(5)))/10)*Perimeter of Dodecahedron/60

Can the Insphere Radius of Dodecahedron be negative?

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

Which unit is used to measure Insphere Radius of Dodecahedron?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit