Cross Sectional Area of Toroid given Volume and Total Surface Area Calculator

✖Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.ⓘ Volume of Toroid [V]			+10% -10%
✖Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid.ⓘ Total Surface Area of Toroid [TSA]			+10% -10%
✖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%

✖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 Volume and Total Surface Area [A_{Cross Section}]

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Formula

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Cross Sectional Area of Toroid given Volume and Total Surface Area

Formula

`"A"_{"Cross Section"} = ("V"/(2*pi*("TSA"/(2*pi*"P"_{"Cross Section"}))))`

Example

`"49.73684m²"=("3150m³"/(2*pi*("1900m²"/(2*pi*"30m"))))`

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Cross Sectional Area of Toroid given Volume and Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))))
A_{Cross Section} = (V/(2*pi*(TSA/(2*pi*P_{Cross Section}))))
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Volume of Toroid - (Measured in Cubic Meter) - Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.
Total Surface Area of Toroid - (Measured in Square Meter) - Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface 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.

STEP 1: Convert Input(s) to Base Unit

Volume of Toroid: 3150 Cubic Meter --> 3150 Cubic Meter No Conversion Required
Total Surface Area of Toroid: 1900 Square Meter --> 1900 Square Meter No Conversion Required
Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

A_{Cross Section} = (V/(2*pi*(TSA/(2*pi*P_{Cross Section})))) --> (3150/(2*pi*(1900/(2*pi*30))))

Evaluating ... ...

A_{Cross Section} = 49.7368421052632

STEP 3: Convert Result to Output's Unit

49.7368421052632 Square Meter --> No Conversion Required

FINAL ANSWER

49.7368421052632 ≈ 49.73684 Square Meter <-- Cross Sectional Area of Toroid

(Calculation completed in 00.022 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)

< 2 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

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

Cross Sectional Area of Toroid given Volume and Total Surface Area Formula

Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid))))
A_{Cross Section} = (V/(2*pi*(TSA/(2*pi*P_{Cross Section}))))

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 Volume and Total Surface Area?

Cross Sectional Area of Toroid given Volume and Total Surface Area calculator uses Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid)))) to calculate the Cross Sectional Area of Toroid, Cross Sectional Area of Toroid given Volume and Total Surface Area formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using volume and total surface area of Toroid. Cross Sectional Area of Toroid is denoted by A_{Cross Section} symbol.

How to calculate Cross Sectional Area of Toroid given Volume and Total Surface Area using this online calculator? To use this online calculator for Cross Sectional Area of Toroid given Volume and Total Surface Area, enter Volume of Toroid (V), Total Surface Area of Toroid (TSA) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) and hit the calculate button. Here is how the Cross Sectional Area of Toroid given Volume and Total Surface Area calculation can be explained with given input values -> 49.73684 = (3150/(2*pi*(1900/(2*pi*30)))).

FAQ

What is Cross Sectional Area of Toroid given Volume and Total Surface Area?

Cross Sectional Area of Toroid given Volume and Total Surface Area formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using volume and total surface area of Toroid and is represented as A_{Cross Section} = (V/(2*pi*(TSA/(2*pi*P_{Cross Section})))) or Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid)))). Volume of Toroid is defined as the amount of three dimensional space covered by Toroid, Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid & Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.

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

Cross Sectional Area of Toroid given Volume and Total Surface Area formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using volume and total surface area of Toroid is calculated using Cross Sectional Area of Toroid = (Volume of Toroid/(2*pi*(Total Surface Area of Toroid/(2*pi*Cross Sectional Perimeter of Toroid)))). To calculate Cross Sectional Area of Toroid given Volume and Total Surface Area, you need Volume of Toroid (V), Total Surface Area of Toroid (TSA) & Cross Sectional Perimeter of Toroid (P_{Cross Section}). With our tool, you need to enter the respective value for Volume of Toroid, Total Surface Area of Toroid & Cross Sectional Perimeter 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 Volume of Toroid, Total Surface Area of Toroid & Cross Sectional Perimeter of Toroid. We can use 4 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 = (Cross Sectional Perimeter of Toroid/Surface to Volume Ratio of Toroid)
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 = (Volume of Toroid/(2*pi*Radius of Toroid))

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