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

✖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%
✖Radius of Toroid is the line connecting the center of the overall Toroid to the center of a cross-section of the Toroid.ⓘ Radius of Toroid [r]			+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 and Total Surface Area [A_{Cross Section}]

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

STEP 0: Pre-Calculation Summary

Formula Used

Cross Sectional Area of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Surface to Volume Ratio of Toroid))
A_{Cross Section} = (TSA/(2*pi*r*R_A/V))
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.
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.
Radius of Toroid - (Measured in Meter) - Radius of Toroid is the line connecting the center of the overall Toroid to the center of a 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

Total Surface Area of Toroid: 1900 Square Meter --> 1900 Square Meter No Conversion Required
Radius of Toroid: 10 Meter --> 10 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} = (TSA/(2*pi*r*R_A/V)) --> (1900/(2*pi*10*0.6))

Evaluating ... ...

A_{Cross Section} = 50.3990653124335

STEP 3: Convert Result to Output's Unit

50.3990653124335 Square Meter --> No Conversion Required

FINAL ANSWER

50.3990653124335 ≈ 50.39907 Square Meter <-- Cross Sectional Area of Toroid

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< Cross Sectional Area of Toroid Calculators

Cross Sectional Area of Toroid given Volume and Total Surface Area

LaTeX 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

LaTeX 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

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

Cross Sectional Area of Toroid given Surface to Volume Ratio

LaTeX 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 and Total Surface Area Formula

LaTeX Go

Cross Sectional Area of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Surface to Volume Ratio of Toroid))
A_{Cross Section} = (TSA/(2*pi*r*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 and Total Surface Area?

Cross Sectional Area of Toroid given Surface to Volume Ratio and Total Surface Area calculator uses Cross Sectional Area of Toroid = (Total Surface Area of Toroid/(2*pi*Radius 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 and Total Surface Area formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using surface to volume ratio 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 Surface to Volume Ratio and Total Surface Area using this online calculator? To use this online calculator for Cross Sectional Area of Toroid given Surface to Volume Ratio and Total Surface Area, enter Total Surface Area of Toroid (TSA), Radius of Toroid (r) & 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 and Total Surface Area calculation can be explained with given input values -> 50.39907 = (1900/(2*pi*10*0.6)).

FAQ

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

Cross Sectional Area of Toroid given Surface to Volume Ratio and Total Surface Area formula is defined as the amount of two dimensional space occupied by the cross section of Toroid, calculated using surface to volume ratio and total surface area of Toroid and is represented as A_{Cross Section} = (TSA/(2*pi*r*R_A/V)) or Cross Sectional Area of Toroid = (Total Surface Area of Toroid/(2*pi*Radius of Toroid*Surface to Volume Ratio of Toroid)). Total Surface Area of Toroid is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid, Radius of Toroid is the line connecting the center of the overall Toroid to the center of a 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 and Total Surface Area?

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

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