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Radius of Toroid given Surface to Volume Ratio and Total Surface Area Formula

GoRadius of Toroid Formula

GoRadius of Toroid given Volume Formula

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Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid. Check FAQs

r = (\frac{TSA}{2 \cdot π \cdot A Cross Section \cdot R A/V})

r - Radius of Toroid?TSA - Total Surface Area of Toroid?A_{Cross Section} - Cross Sectional Area of Toroid?R_A/V - Surface to Volume Ratio of Toroid?π - Archimedes' constant?

Radius of Toroid given Surface to Volume Ratio and Total Surface Area Example

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Here is how the Radius of Toroid given Surface to Volume Ratio and Total Surface Area equation looks like with Values.

Here is how the Radius of Toroid given Surface to Volume Ratio and Total Surface Area equation looks like with Units.

Here is how the Radius of Toroid given Surface to Volume Ratio and Total Surface Area equation looks like.

10.0798 = (\frac{1900}{2 \cdot 3.1416 \cdot 50 \cdot 0.6})

10.0798m = (\frac{1900m²}{2 \cdot 3.1416 \cdot 50m² \cdot 0.6m⁻¹})

10.0798 = (\frac{1900}{2 \cdot 3.1416 \cdot 50 \cdot 0.6})

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Radius of Toroid given Surface to Volume Ratio and Total Surface Area Solution

Follow our step by step solution on how to calculate Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

FIRST Step Consider the formula

r = (\frac{TSA}{2 \cdot π \cdot A Cross Section \cdot R A/V})

Next Step Substitute values of Variables

∴

r = (\frac{1900m²}{2 \cdot π \cdot 50m² \cdot 0.6m⁻¹})

Next Step Substitute values of Constants

∴

r = (\frac{1900m²}{2 \cdot 3.1416 \cdot 50m² \cdot 0.6m⁻¹})

Next Step Prepare to Evaluate

∴

r = (\frac{1900}{2 \cdot 3.1416 \cdot 50 \cdot 0.6})

Next Step Evaluate

∴

r = 10.0798130624867m

LAST Step Rounding Answer

∴

r = 10.0798m

Radius of Toroid given Surface to Volume Ratio and Total Surface Area Formula Elements

Variables

Constants

Radius of Toroid

Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Toroid

Total Surface Area of Toroid

Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Toroid

Cross Sectional Area of Toroid

Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.

Symbol: A_{Cross Section}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Toroid

Surface to Volume Ratio of Toroid

Surface to Volume Ratio of Toroid is defined as the numerical ratio of the total surface area of a Toroid to the volume of the Toroid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Toroid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Radius of Toroid

Go Radius of Toroid

r = (\frac{TSA}{2 \cdot π \cdot P Cross Section})

Go Radius of Toroid given Volume

r = (\frac{V}{2 \cdot π \cdot A Cross Section})

Go Radius of Toroid given Surface to Volume Ratio and Volume

r = (\frac{V}{2 \cdot π \cdot (\frac{P Cross Section}{R A/V})})

How to Evaluate Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

Radius of Toroid given Surface to Volume Ratio and Total Surface Area evaluator uses Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid)) to evaluate the Radius of Toroid, Radius of Toroid given Surface to Volume Ratio and Total Surface Area formula is defined as the line connecting the center of overall Toroid to the center of cross section of Toroid, calculated using surface to volume ratio and total surface area of Toroid. Radius of Toroid is denoted by r symbol.

How to evaluate Radius of Toroid given Surface to Volume Ratio and Total Surface Area using this online evaluator? To use this online evaluator for Radius of Toroid given Surface to Volume Ratio and Total Surface Area, enter Total Surface Area of Toroid (TSA), Cross Sectional Area of Toroid (A_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) and hit the calculate button.

FAQs on Radius of Toroid given Surface to Volume Ratio and Total Surface Area

What is the formula to find Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

The formula of Radius of Toroid given Surface to Volume Ratio and Total Surface Area is expressed as Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid)). Here is an example- 10.07981 = (1900/(2*pi*50*0.6)).

How to calculate Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

With Total Surface Area of Toroid (TSA), Cross Sectional Area of Toroid (A_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) we can find Radius of Toroid given Surface to Volume Ratio and Total Surface Area using the formula - Radius of Toroid = (Total Surface Area of Toroid/(2*pi*Cross Sectional Area of Toroid*Surface to Volume Ratio of Toroid)). This formula also uses Archimedes' constant .

What are the other ways to Calculate Radius of Toroid?

Here are the different ways to Calculate Radius of Toroid-

Radius of Toroid=(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))
Radius of Toroid=(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid))
Radius of Toroid=(Volume of Toroid/(2*pi*(Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)))

Can the Radius of Toroid given Surface to Volume Ratio and Total Surface Area be negative?

No, the Radius of Toroid given Surface to Volume Ratio and Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

Radius of Toroid given Surface to Volume Ratio and 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 Radius of Toroid given Surface to Volume Ratio and Total Surface Area can be measured.

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Radius of Toroid given Surface to Volume Ratio and Total Surface Area Formula

​GoRadius of Toroid Formula

​GoRadius of Toroid given Volume Formula

Radius of Toroid given Surface to Volume Ratio and Total Surface Area Example

Radius of Toroid given Surface to Volume Ratio and Total Surface Area Solution

Radius of Toroid given Surface to Volume Ratio and Total Surface Area Formula Elements

Other Formulas to find Radius of Toroid

How to Evaluate Radius of Toroid given Surface to Volume Ratio and Total Surface Area?

FAQs on Radius of Toroid given Surface to Volume Ratio and Total Surface Area

Variable Name

GoRadius of Toroid Formula

GoRadius of Toroid given Volume Formula