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Circumsphere Radius of Octahedron given Total Surface Area Formula

GoCircumsphere Radius of Octahedron given Insphere Radius Formula

GoCircumsphere Radius of Octahedron Formula

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Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere. Check FAQs

r c = \sqrt{\frac{TSA}{4 \cdot \sqrt{3}}}

r_c - Circumsphere Radius of Octahedron?TSA - Total Surface Area of Octahedron?

Circumsphere Radius of Octahedron given Total Surface Area Example

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

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

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

7.1076 = \sqrt{\frac{350}{4 \cdot \sqrt{3}}}

7.1076m = \sqrt{\frac{350m²}{4 \cdot \sqrt{3}}}

7.1076 = \sqrt{\frac{350}{4 \cdot \sqrt{3}}}

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Circumsphere Radius of Octahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

r c = \sqrt{\frac{TSA}{4 \cdot \sqrt{3}}}

Next Step Substitute values of Variables

∴

r c = \sqrt{\frac{350m²}{4 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

r c = \sqrt{\frac{350}{4 \cdot \sqrt{3}}}

Next Step Evaluate

∴

r c = 7.10761201488181m

LAST Step Rounding Answer

∴

r c = 7.1076m

Circumsphere Radius of Octahedron given Total Surface Area Formula Elements

Variables

Functions

Circumsphere Radius of Octahedron

Circumsphere Radius of Octahedron is the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere.

Symbol: r_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Circumsphere 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 Circumsphere Radius of Octahedron

Go Circumsphere Radius of Octahedron given Insphere Radius

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

Go Circumsphere Radius of Octahedron

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

Go Circumsphere Radius of Octahedron given Midsphere Radius

r c = \sqrt{2} \cdot r m

Go Circumsphere Radius of Octahedron given Surface to Volume Ratio

r c = \frac{3 \cdot \sqrt{3}}{R A/V}

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

Circumsphere Radius of Octahedron given Total Surface Area evaluator uses Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))) to evaluate the Circumsphere Radius of Octahedron, The Circumsphere Radius of Octahedron given Total Surface Area formula is defined as the radius of the sphere that contains the Octahedron in such a way that all the vertices are lying on the sphere, and calculated using the total surface area of the Octahedron. Circumsphere Radius of Octahedron is denoted by r_c symbol.

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

FAQs on Circumsphere Radius of Octahedron given Total Surface Area

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

The formula of Circumsphere Radius of Octahedron given Total Surface Area is expressed as Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))). Here is an example- 7.107612 = sqrt(350/(4*sqrt(3))).

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

With Total Surface Area of Octahedron (TSA) we can find Circumsphere Radius of Octahedron given Total Surface Area using the formula - Circumsphere Radius of Octahedron = sqrt(Total Surface Area of Octahedron/(4*sqrt(3))). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

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

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