Cross Sectional Perimeter of Toroid given Total Surface Area and Volume 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%
✖Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.ⓘ Volume of Toroid [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 [A_{Cross Section}]			+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 given Total Surface Area and Volume [P_{Cross Section}]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Toroid Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
Volume of Toroid - (Measured in Cubic Meter) - Volume of Toroid is defined as the amount of three dimensional space covered by Toroid.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Toroid: 1900 Square Meter --> 1900 Square Meter No Conversion Required
Volume of Toroid: 3150 Cubic Meter --> 3150 Cubic Meter No Conversion Required
Cross Sectional Area of Toroid: 50 Square Meter --> 50 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P_{Cross Section} = (TSA/(2*pi*(V/(2*pi*A_{Cross Section})))) --> (1900/(2*pi*(3150/(2*pi*50))))

Evaluating ... ...

P_{Cross Section} = 30.1587301587302

STEP 3: Convert Result to Output's Unit

30.1587301587302 Meter --> No Conversion Required

FINAL ANSWER

30.1587301587302 ≈ 30.15873 Meter <-- Cross Sectional Perimeter of Toroid

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Toroid » Cross Sectional Perimeter of Toroid » Cross Sectional Perimeter of Toroid given Total Surface Area and Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Cross Sectional Perimeter of Toroid Calculators

Cross Sectional Perimeter of Toroid given Total Surface Area and Volume

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

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio and Volume

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

Cross Sectional Perimeter of Toroid

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

Cross Sectional Perimeter of Toroid given Surface to Volume Ratio

LaTeX Go Cross Sectional Perimeter of Toroid = Surface to Volume Ratio of Toroid*Cross Sectional Area of Toroid

< Cross Sectional Perimeter of Toroid Calculators

Cross Sectional Perimeter of Toroid given Total Surface Area and Volume

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

Cross Sectional Perimeter of Toroid

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

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

LaTeX Go

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

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

How to calculate Cross Sectional Perimeter of Toroid given Total Surface Area and Volume using this online calculator? To use this online calculator for Cross Sectional Perimeter of Toroid given Total Surface Area and Volume, enter Total Surface Area of Toroid (TSA), Volume of Toroid (V) & Cross Sectional Area of Toroid (A_{Cross Section}) and hit the calculate button. Here is how the Cross Sectional Perimeter of Toroid given Total Surface Area and Volume calculation can be explained with given input values -> 30.15873 = (1900/(2*pi*(3150/(2*pi*50)))).

FAQ

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

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

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

Cross Sectional Perimeter of Toroid given Total Surface Area and Volume formula is defined as the total length of the boundary of the cross section of Toroid, calculated using total surface area and volume of Toroid is calculated using Cross Sectional Perimeter of Toroid = (Total Surface Area of Toroid/(2*pi*(Volume of Toroid/(2*pi*Cross Sectional Area of Toroid)))). To calculate Cross Sectional Perimeter of Toroid given Total Surface Area and Volume, you need Total Surface Area of Toroid (TSA), Volume of Toroid (V) & Cross Sectional Area of Toroid (A_{Cross Section}). With our tool, you need to enter the respective value for Total Surface Area of Toroid, Volume of Toroid & Cross Sectional Area 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 Perimeter of Toroid?

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

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

Home

FREE PDFs

🔍 Search