FormulaDen.com

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

Midsphere Radius of Hexakis Octahedron given Short Edge Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Medium Edge Formula

Fx Copy

LaTeX Copy

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

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

r_m - Midsphere Radius of Hexakis Octahedron?l_e(Short) - Short Edge of Hexakis Octahedron?

Midsphere Radius of Hexakis Octahedron given Short Edge Example

With values

With units

Only example

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

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

Here is how the Midsphere Radius of Hexakis Octahedron given Short Edge equation looks like.

18.7279 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot 12}{10 - \sqrt{2}})

18.7279m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot 12m}{10 - \sqrt{2}})

18.7279 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot 12}{10 - \sqrt{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 Midsphere Radius of Hexakis Octahedron given Short Edge

Midsphere Radius of Hexakis Octahedron given Short Edge Solution

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

FIRST Step Consider the formula

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot 12m}{10 - \sqrt{2}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\frac{14 \cdot 12}{10 - \sqrt{2}})

Next Step Evaluate

∴

r m = 18.7279220613579m

LAST Step Rounding Answer

∴

r m = 18.7279m

Midsphere Radius of Hexakis Octahedron given Short Edge Formula Elements

Variables

Functions

Midsphere Radius of Hexakis Octahedron

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

Short Edge of Hexakis Octahedron

Short Edge of Hexakis Octahedron is the length of the shortest edge of any of the congruent triangular faces of the Hexakis Octahedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short Edge of Hexakis Octahedron

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 Octahedron

Go Midsphere Radius of Hexakis Octahedron

r m = (\frac{l e(Long)}{4}) \cdot (1 + (2 \cdot \sqrt{2}))

Go Midsphere Radius of Hexakis Octahedron given Medium Edge

r m = \frac{7 \cdot l e(Medium)}{6}

Go Midsphere Radius of Hexakis Octahedron given Total Surface Area

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Go Midsphere Radius of Hexakis Octahedron given Volume

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Midsphere Radius of Hexakis Octahedron given Short Edge?

Midsphere Radius of Hexakis Octahedron given Short Edge evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))) to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Short Edge formula is defined as the radius of the sphere for which all the edges of the Hexakis Octahedron become a tangent line on that sphere, calculated using the short edge of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Octahedron given Short Edge

What is the formula to find Midsphere Radius of Hexakis Octahedron given Short Edge?

The formula of Midsphere Radius of Hexakis Octahedron given Short Edge is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))). Here is an example- 18.72792 = ((1+(2*sqrt(2)))/4)*((14*12)/(10-sqrt(2))).

How to calculate Midsphere Radius of Hexakis Octahedron given Short Edge?

With Short Edge of Hexakis Octahedron (l_e(Short)) we can find Midsphere Radius of Hexakis Octahedron given Short Edge using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2))). This formula also uses Square Root (sqrt) function(s).

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

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

Midsphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/4)*(1+(2*sqrt(2)))
Midsphere Radius of Hexakis Octahedron=(7*Medium Edge of Hexakis Octahedron)/6
Midsphere Radius of Hexakis Octahedron=((1+(2*sqrt(2)))/4)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2))))))

Can the Midsphere Radius of Hexakis Octahedron given Short Edge be negative?

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

Which unit is used to measure Midsphere Radius of Hexakis Octahedron given Short Edge?

Midsphere Radius of Hexakis Octahedron 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 Midsphere Radius of Hexakis Octahedron given Short Edge can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit