FormulaDen.com

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

Insphere Radius of Hexakis Icosahedron given Short Edge Formula

GoInsphere Radius of Hexakis Icosahedron Formula

GoInsphere Radius of Hexakis Icosahedron given Medium Edge Formula

Fx Copy

LaTeX Copy

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

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

r_i - Insphere Radius of Hexakis Icosahedron?l_e(Short) - Short Edge of Hexakis Icosahedron?

Insphere Radius of Hexakis Icosahedron given Short Edge Example

With values

With units

Only example

Here is how the Insphere Radius of Hexakis Icosahedron given Short Edge equation looks like with Values.

Here is how the Insphere Radius of Hexakis Icosahedron given Short Edge equation looks like with Units.

Here is how the Insphere Radius of Hexakis Icosahedron given Short Edge equation looks like.

13.3998 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})

13.3998m = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot 5m}{5 \cdot (7 - \sqrt{5})})

13.3998 = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot 5}{5 \cdot (7 - \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 Insphere Radius of Hexakis Icosahedron given Short Edge

Insphere Radius of Hexakis Icosahedron given Short Edge Solution

Follow our step by step solution on how to calculate Insphere Radius of Hexakis Icosahedron given Short Edge?

FIRST Step Consider the formula

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot 5m}{5 \cdot (7 - \sqrt{5})})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{44 \cdot 5}{5 \cdot (7 - \sqrt{5})})

Next Step Evaluate

∴

r i = 13.3998467010242m

LAST Step Rounding Answer

∴

r i = 13.3998m

Insphere Radius of Hexakis Icosahedron given Short Edge Formula Elements

Variables

Functions

Insphere Radius of Hexakis Icosahedron

Insphere Radius of Hexakis Icosahedron is defined as the radius of the sphere that is contained by the Hexakis Icosahedron 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 Hexakis Icosahedron

Short Edge of Hexakis Icosahedron

Short Edge of Hexakis Icosahedron is the length of the shortest edge that connects two adjacent vertices of the Hexakis Icosahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Hexakis Icosahedron

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 Hexakis Icosahedron

Go Insphere Radius of Hexakis Icosahedron

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot l e(Long)

Go Insphere Radius of Hexakis Icosahedron given Medium Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Go Insphere Radius of Hexakis Icosahedron given Total Surface Area

r i = (\frac{\sqrt{(\frac{15}{241}) \cdot (275 + (119 \cdot \sqrt{5}))}}{4}) \cdot (\sqrt{\frac{44 \cdot TSA}{15 \cdot (\sqrt{10 \cdot (417 + (107 \cdot \sqrt{5}))})}})

How to Evaluate Insphere Radius of Hexakis Icosahedron given Short Edge?

Insphere Radius of Hexakis Icosahedron given Short Edge evaluator uses Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))) to evaluate the Insphere Radius of Hexakis Icosahedron, Insphere Radius of Hexakis Icosahedron given Short Edge formula is defined as the radius of the sphere that is contained by the Hexakis Icosahedron in such a way that all the faces just touch the sphere, calculated using short edge of Hexakis Icosahedron. Insphere Radius of Hexakis Icosahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Icosahedron given Short Edge

What is the formula to find Insphere Radius of Hexakis Icosahedron given Short Edge?

The formula of Insphere Radius of Hexakis Icosahedron given Short Edge is expressed as Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))). Here is an example- 13.39985 = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*5)/(5*(7-sqrt(5)))).

How to calculate Insphere Radius of Hexakis Icosahedron given Short Edge?

With Short Edge of Hexakis Icosahedron (l_e(Short)) we can find Insphere Radius of Hexakis Icosahedron given Short Edge using the formula - Insphere Radius of Hexakis Icosahedron = ((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Hexakis Icosahedron?

Here are the different ways to Calculate Insphere Radius of Hexakis Icosahedron-

Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*Long Edge of Hexakis Icosahedron
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))
Insphere Radius of Hexakis Icosahedron=((sqrt((15/241)*(275+(119*sqrt(5)))))/4)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))

Can the Insphere Radius of Hexakis Icosahedron given Short Edge be negative?

No, the Insphere Radius of Hexakis Icosahedron given Short Edge, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Hexakis Icosahedron given Short Edge?

Insphere Radius of Hexakis Icosahedron given Short Edge 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 Hexakis Icosahedron given Short Edge can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit