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Insphere Radius of Hexakis Octahedron given Total Surface Area Formula

GoInsphere Radius of Hexakis Octahedron Formula

GoInsphere Radius of Hexakis Octahedron given Medium Edge Formula

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

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

r_i - Insphere Radius of Hexakis Octahedron?TSA - Total Surface Area of Hexakis Octahedron?

Insphere Radius of Hexakis Octahedron given Total Surface Area Example

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

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

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

18.6446 = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

18.6446m = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

18.6446 = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

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Insphere Radius of Hexakis Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot TSA}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Substitute values of Variables

∴

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot 4800m²}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Prepare to Evaluate

∴

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\sqrt{\frac{7 \cdot 4800}{3 \cdot \sqrt{543 + (176 \cdot \sqrt{2})}}})

Next Step Evaluate

∴

r i = 18.644555985341m

LAST Step Rounding Answer

∴

r i = 18.6446m

Insphere Radius of Hexakis Octahedron given Total Surface Area Formula Elements

Variables

Functions

Insphere Radius of Hexakis Octahedron

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

Go Insphere Radius of Hexakis Octahedron

r i = (\frac{l e(Long)}{2}) \cdot (\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}})

Go Insphere Radius of Hexakis Octahedron given Medium Edge

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{14 \cdot l e(Medium)}{3 \cdot (1 + (2 \cdot \sqrt{2}))})

Go Insphere Radius of Hexakis Octahedron given Short Edge

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot (\frac{14 \cdot l e(Short)}{10 - \sqrt{2}})

Go Insphere Radius of Hexakis Octahedron given Volume

r i = (\frac{\sqrt{\frac{402 + (195 \cdot \sqrt{2})}{194}}}{2}) \cdot ({(\frac{28 \cdot V}{\sqrt{6 \cdot (986 + (607 \cdot \sqrt{2}))}})}^{\frac{1}{3}})

How to Evaluate Insphere Radius of Hexakis Octahedron given Total Surface Area?

Insphere Radius of Hexakis Octahedron given Total Surface Area evaluator uses Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))) to evaluate the Insphere Radius of Hexakis Octahedron, Insphere Radius of Hexakis Octahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Hexakis Octahedron in such a way that all the faces just touching the sphere, calculated using the total surface area of the Hexakis Octahedron. Insphere Radius of Hexakis Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Hexakis Octahedron given Total Surface Area

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

The formula of Insphere Radius of Hexakis Octahedron given Total Surface Area is expressed as Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(sqrt((7*Total Surface Area of Hexakis Octahedron)/(3*sqrt(543+(176*sqrt(2)))))). Here is an example- 18.64456 = ((sqrt((402+(195*sqrt(2)))/194))/2)*(sqrt((7*4800)/(3*sqrt(543+(176*sqrt(2)))))).

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

With Total Surface Area of Hexakis Octahedron (TSA) we can find Insphere Radius of Hexakis Octahedron given Total Surface Area using the formula - Insphere Radius of Hexakis Octahedron = ((sqrt((402+(195*sqrt(2)))/194))/2)*(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 Insphere Radius of Hexakis Octahedron?

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

Insphere Radius of Hexakis Octahedron=(Long Edge of Hexakis Octahedron/2)*(sqrt((402+(195*sqrt(2)))/194))
Insphere Radius of Hexakis Octahedron=((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Medium Edge of Hexakis Octahedron)/(3*(1+(2*sqrt(2)))))
Insphere Radius of Hexakis Octahedron=((sqrt((402+(195*sqrt(2)))/194))/2)*((14*Short Edge of Hexakis Octahedron)/(10-sqrt(2)))

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

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

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

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

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