Cross Sectional Area of Toroid given Surface to Volume Ratio Calculator

✖Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.ⓘ Cross Sectional Perimeter of Toroid [P_{Cross Section}]			+10% -10%
✖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.ⓘ Surface to Volume Ratio of Toroid [R_A/V]			+10% -10%

✖Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.ⓘ Cross Sectional Area of Toroid given Surface to Volume Ratio [A_{Cross Section}]

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Formula

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Cross Sectional Area of Toroid given Surface to Volume Ratio

Formula

`"A"_{"Cross Section"} = ("P"_{"Cross Section"}/"R"_{"A/V"})`

Example

`"50m²"=("30m"/"0.6m⁻¹")`

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Cross Sectional Area of Toroid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)
A_{Cross Section} = (P_{Cross Section}/R_A/V)
This formula uses 3 Variables

Variables Used

Cross Sectional Area of Toroid - (Measured in Square Meter) - Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.
Cross Sectional Perimeter of Toroid - (Measured in Meter) - Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.
Surface to Volume Ratio of Toroid - (Measured in 1 per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required
Surface to Volume Ratio of Toroid: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{Cross Section} = (P_{Cross Section}/R_A/V) --> (30/0.6)

Evaluating ... ...

A_{Cross Section} = 50

STEP 3: Convert Result to Output's Unit

50 Square Meter --> No Conversion Required

FINAL ANSWER

50 Square Meter <-- Cross Sectional Area of Toroid

(Calculation completed in 00.021 seconds)

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< 4 Cross Sectional Area of Toroid Calculators

Cross Sectional Area of Toroid given Volume and Total Surface Area

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

Cross Sectional Area of Toroid given Surface to Volume Ratio and Total Surface Area

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

Cross Sectional Area of Toroid

Go Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*Radius of Toroid))

Cross Sectional Area of Toroid given Surface to Volume Ratio

Go Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)

Cross Sectional Area of Toroid given Surface to Volume Ratio Formula

Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)
A_{Cross Section} = (P_{Cross Section}/R_A/V)

What is Toroid?

In geometry, a Toroid is a surface of revolution with a hole in the middle. The axis of revolution passes through the hole and so does not intersect the surface. For example, when a rectangle is rotated around an axis parallel to one of its edges, then a hollow rectangle-section ring is produced. If the revolved figure is a circle, then the object is called a torus.

How to Calculate Cross Sectional Area of Toroid given Surface to Volume Ratio?

Cross Sectional Area of Toroid given Surface to Volume Ratio calculator uses Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid) to calculate the Cross Sectional Area of Toroid, Cross Sectional Area of Toroid given Surface to Volume Ratio formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using surface to volume ratio of Toroid. Cross Sectional Area of Toroid is denoted by A_{Cross Section} symbol.

How to calculate Cross Sectional Area of Toroid given Surface to Volume Ratio using this online calculator? To use this online calculator for Cross Sectional Area of Toroid given Surface to Volume Ratio, enter Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V) and hit the calculate button. Here is how the Cross Sectional Area of Toroid given Surface to Volume Ratio calculation can be explained with given input values -> 50 = (30/0.6).

FAQ

What is Cross Sectional Area of Toroid given Surface to Volume Ratio?

Cross Sectional Area of Toroid given Surface to Volume Ratio formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using surface to volume ratio of Toroid and is represented as A_{Cross Section} = (P_{Cross Section}/R_A/V) or Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid). Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the 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.

How to calculate Cross Sectional Area of Toroid given Surface to Volume Ratio?

Cross Sectional Area of Toroid given Surface to Volume Ratio formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using surface to volume ratio of Toroid is calculated using Cross Sectional Area of Toroid = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid). To calculate Cross Sectional Area of Toroid given Surface to Volume Ratio, you need Cross Sectional Perimeter of Toroid (P_{Cross Section}) & Surface to Volume Ratio of Toroid (R_A/V). With our tool, you need to enter the respective value for Cross Sectional Perimeter of Toroid & Surface to Volume Ratio of Toroid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Cross Sectional Area of Toroid?

In this formula, Cross Sectional Area of Toroid uses Cross Sectional Perimeter of Toroid & Surface to Volume Ratio of Toroid. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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