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Midsphere Radius of Hexakis Octahedron given Total Surface Area Formula

GoMidsphere Radius of Hexakis Octahedron Formula

GoMidsphere Radius of Hexakis Octahedron given Medium Edge Formula

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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 (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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

Midsphere Radius of Hexakis Octahedron given Total Surface Area Example

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

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

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

19.0942 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

19.0942m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

19.0942 = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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Midsphere Radius of Hexakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Prepare to Evaluate

∴

r m = (\frac{1 + (2 \cdot \sqrt{2})}{4}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Evaluate

∴

r m = 19.0942058934806m

LAST Step Rounding Answer

∴

r m = 19.0942m

Midsphere Radius of Hexakis Octahedron given Total Surface Area 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

Total Surface Area of Hexakis Octahedron

Total Surface Area of Hexakis Octahedron is the amount or quantity of two dimensional space covered on the surface of Hexakis Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Short Edge

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

Midsphere Radius of Hexakis Octahedron given Total Surface Area evaluator uses Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))) to evaluate the Midsphere Radius of Hexakis Octahedron, The Midsphere Radius of Hexakis Octahedron given Total Surface Area 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 total surface area of Hexakis Octahedron. Midsphere Radius of Hexakis Octahedron is denoted by r_m symbol.

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

FAQs on Midsphere Radius of Hexakis Octahedron given Total Surface Area

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

The formula of Midsphere Radius of Hexakis Octahedron given Total Surface Area is expressed as Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))). Here is an example- 19.09421 = ((1+(2*sqrt(2)))/4)*(sqrt((7*4800)/(3*sqrt(543+(176*sqrt(2)))))).

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

With Total Surface Area of Hexakis Octahedron (TSA) we can find Midsphere Radius of Hexakis Octahedron given Total Surface Area using the formula - Midsphere Radius of Hexakis Octahedron = ((1+(2*sqrt(2)))/4)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*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)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

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

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

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

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

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