FormulaDen.com

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

Midsphere Radius of Hexakis Icosahedron given Total Surface Area Formula

GoMidsphere Radius of Hexakis Icosahedron given Short Edge Formula

GoMidsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge Formula

Fx Copy

LaTeX Copy

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere. Check FAQs

r m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{TSA}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

r_m - Midsphere Radius of Hexakis Icosahedron?TSA - Total Surface Area of Hexakis Icosahedron?

Midsphere Radius of Hexakis Icosahedron given Total Surface Area Example

With values

With units

Only example

Here is how the Midsphere Radius of Hexakis Icosahedron given Total Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Hexakis Icosahedron given Total Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Hexakis Icosahedron given Total Surface Area equation looks like.

14.6308 = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{2760}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

14.6308m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{2760m²}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

14.6308 = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{2760}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \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 Midsphere Radius of Hexakis Icosahedron given Total Surface Area

Midsphere Radius of Hexakis Icosahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Hexakis Icosahedron given Total Surface Area?

FIRST Step Consider the formula

r m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{TSA}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Substitute values of Variables

∴

r m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{2760m²}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Prepare to Evaluate

∴

r m = \frac{1}{8} \cdot \sqrt{\frac{44}{15} \cdot \frac{2760}{\sqrt{10 \cdot (417 + 107 \cdot \sqrt{5})}}} \cdot (5 + 3 \cdot \sqrt{5})

Next Step Evaluate

∴

r m = 14.6307529735517m

LAST Step Rounding Answer

∴

r m = 14.6308m

Midsphere Radius of Hexakis Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Icosahedron

Midsphere Radius of Hexakis Icosahedron is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron 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 Hexakis Icosahedron

Total Surface Area of Hexakis Icosahedron

Total Surface Area of Hexakis Icosahedron is the amount or quantity of two dimensional space covered by the surface of Hexakis Isocahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Midsphere Radius of Hexakis Icosahedron

Go Midsphere Radius of Hexakis Icosahedron given Short Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{44 \cdot l e(Short)}{5 \cdot (7 - \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron given Truncated Icosidodecahedron Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{2}{5}) \cdot (l e(Truncated Icosidodecahedron)) \cdot (\sqrt{15 \cdot (5 - \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron given Medium Edge

r m = (\frac{5 + (3 \cdot \sqrt{5})}{8}) \cdot (\frac{22 \cdot l e(Medium)}{3 \cdot (4 + \sqrt{5})})

Go Midsphere Radius of Hexakis Icosahedron

r m = \frac{l e(Long)}{8} \cdot (5 + 3 \cdot \sqrt{5})

How to Evaluate Midsphere Radius of Hexakis Icosahedron given Total Surface Area?

Midsphere Radius of Hexakis Icosahedron given Total Surface Area evaluator uses Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)) to evaluate the Midsphere Radius of Hexakis Icosahedron, The Midsphere Radius of Hexakis Icosahedron given Total Surface Area formula is defined as the radius of the sphere for which all the edges of the Hexakis Icosahedron become a tangent line on that sphere, calculated using the total surface area of Hexakis Icosahedron. Midsphere Radius of Hexakis Icosahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Hexakis Icosahedron given Total Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Hexakis Icosahedron given Total Surface Area, enter Total Surface Area of Hexakis Icosahedron (TSA) and hit the calculate button.

FAQs on Midsphere Radius of Hexakis Icosahedron given Total Surface Area

What is the formula to find Midsphere Radius of Hexakis Icosahedron given Total Surface Area?

The formula of Midsphere Radius of Hexakis Icosahedron given Total Surface Area is expressed as Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)). Here is an example- 14.63075 = 1/8*sqrt(44/15*2760/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)).

How to calculate Midsphere Radius of Hexakis Icosahedron given Total Surface Area?

With Total Surface Area of Hexakis Icosahedron (TSA) we can find Midsphere Radius of Hexakis Icosahedron given Total Surface Area using the formula - Midsphere Radius of Hexakis Icosahedron = 1/8*sqrt(44/15*Total Surface Area of Hexakis Icosahedron/sqrt(10*(417+107*sqrt(5))))*(5+3*sqrt(5)). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((44*Short Edge of Hexakis Icosahedron)/(5*(7-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*(2/5)*(Truncated Edge of Hexakis Icosahedron)*(sqrt(15*(5-sqrt(5))))
Midsphere Radius of Hexakis Icosahedron=((5+(3*sqrt(5)))/8)*((22*Medium Edge of Hexakis Icosahedron)/(3*(4+sqrt(5))))

Can the Midsphere Radius of Hexakis Icosahedron given Total Surface Area be negative?

No, the Midsphere Radius of Hexakis Icosahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Hexakis Icosahedron given Total Surface Area?

Midsphere Radius of Hexakis Icosahedron given Total Surface Area 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 Hexakis Icosahedron given Total Surface Area can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit