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Insphere Radius of Octahedron given Total Surface Area Formula

GoInsphere Radius of Octahedron Formula

GoInsphere Radius of Octahedron given Midsphere Radius Formula

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

r i = \frac{\sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

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

Insphere Radius of Octahedron given Total Surface Area Example

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

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

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

4.1036 = \frac{\sqrt{\frac{350}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

4.1036m = \frac{\sqrt{\frac{350m²}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

4.1036 = \frac{\sqrt{\frac{350}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

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Insphere Radius of Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r i = \frac{\sqrt{\frac{TSA}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

Next Step Substitute values of Variables

∴

r i = \frac{\sqrt{\frac{350m²}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

Next Step Prepare to Evaluate

∴

r i = \frac{\sqrt{\frac{350}{2 \cdot \sqrt{3}}}}{\sqrt{6}}

Next Step Evaluate

∴

r i = 4.10358171008743m

LAST Step Rounding Answer

∴

r i = 4.1036m

Insphere Radius of Octahedron given Total Surface Area Formula Elements

Variables

Functions

Insphere Radius of Octahedron

Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Octahedron

Total Surface Area of Octahedron

Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of 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 Octahedron

Go Insphere Radius of Octahedron

r i = \frac{l e}{\sqrt{6}}

Go Insphere Radius of Octahedron given Midsphere Radius

r i = \sqrt{\frac{2}{3}} \cdot r m

Other formulas in Insphere Radius of Octahedron category

Go Circumsphere Radius of Octahedron

r c = \frac{l e}{\sqrt{2}}

Go Circumsphere Radius of Octahedron given Insphere Radius

r c = \sqrt{3} \cdot r i

Go Midsphere Radius of Octahedron

r m = \frac{l e}{2}

Go Midsphere Radius of Octahedron given Insphere Radius

r m = \sqrt{\frac{3}{2}} \cdot r i

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

Insphere Radius of Octahedron given Total Surface Area evaluator uses Insphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6) to evaluate the Insphere Radius of Octahedron, Insphere Radius of Octahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Octahedron in such a way that all the faces just touch the sphere, and is calculated using the total surface area of the Octahedron. Insphere Radius of Octahedron is denoted by r_i symbol.

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

FAQs on Insphere Radius of Octahedron given Total Surface Area

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

The formula of Insphere Radius of Octahedron given Total Surface Area is expressed as Insphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6). Here is an example- 4.103582 = sqrt(350/(2*sqrt(3)))/sqrt(6).

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

With Total Surface Area of Octahedron (TSA) we can find Insphere Radius of Octahedron given Total Surface Area using the formula - Insphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(2*sqrt(3)))/sqrt(6). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Octahedron?

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

Insphere Radius of Octahedron=Edge Length of Octahedron/sqrt(6)
Insphere Radius of Octahedron=sqrt(2/3)*Midsphere Radius of Octahedron

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

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

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

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

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