Total Surface Area of Toroid Sector given Volume 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%
✖Volume of Toroid Sector is the amount of three dimensional space occupied by the Toroid Sector.ⓘ Volume of Toroid Sector [V_Sector]			+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%

✖Total Surface Area of Toroid Sector is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid Sector.ⓘ Total Surface Area of Toroid Sector given Volume [TSA_Sector]

⎘ Copy

👎

Formula

✖

Total Surface Area of Toroid Sector given Volume

Formula

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

Example

`"1042m²"=((2*pi*"30m")*(("1570m³"/(2*pi*"50m²"))))+(2*"50m²")`

Calculator

LaTeX

Reset

👍

Download Toroid Formula PDF

Total Surface Area of Toroid Sector given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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

Cross Sectional Perimeter of Toroid: 30 Meter --> 30 Meter No Conversion Required
Volume of Toroid Sector: 1570 Cubic Meter --> 1570 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

TSA_Sector = ((2*pi*P_{Cross Section})*((V_Sector/(2*pi*A_{Cross Section}))))+(2*A_{Cross Section}) --> ((2*pi*30)*((1570/(2*pi*50))))+(2*50)

Evaluating ... ...

TSA_Sector = 1042

STEP 3: Convert Result to Output's Unit

1042 Square Meter --> No Conversion Required

FINAL ANSWER

1042 Square Meter <-- Total Surface Area of Toroid Sector

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Toroid » Toroid Sector » Total Surface Area of Toroid Sector » Total Surface Area of Toroid Sector given 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!

< 4 Total Surface Area of Toroid Sector Calculators

Total Surface Area of Toroid Sector given Volume of Toroid Sector

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

Total Surface Area of Toroid Sector given Volume and Angle of Intersection

Go Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*(Volume of Toroid Sector/(2*pi*Radius of Toroid*(Angle of Intersection of Toroid Sector/(2*pi)))))

Total Surface Area of Toroid Sector given Volume

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

Total Surface Area of Toroid Sector

Go Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid)

< 7 Toroid Sector Calculators

Total Surface Area of Toroid Sector given Volume

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

Volume of Toroid Sector given Total Surface Area

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

Cross Sectional Perimeter of Toroid given Total Surface Area of Toroid Sector

Go Cross Sectional Perimeter of Toroid = (Total Surface Area of Toroid Sector-(2*Cross Sectional Area of Toroid))/(2*pi*Radius of Toroid*(Angle of Intersection of Toroid Sector/(2*pi)))

Cross Sectional Area of Toroid given Total Surface Area of Toroid Sector

Go Cross Sectional Area of Toroid = ((Total Surface Area of Toroid Sector-(2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid*(Angle of Intersection of Toroid Sector/(2*pi))))/2)

Total Surface Area of Toroid Sector

Go Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid)

Cross Sectional Area of Toroid given Volume of Toroid Sector

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

Volume of Toroid Sector

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

Total Surface Area of Toroid Sector given Volume Formula

What is Toroid Sector?

Toroid Sector is a piece cut straight out of a toroid. The size of the piece is determined by the angle of intersection originating at the center. An angle of 360° covers the whole toroid.

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 Total Surface Area of Toroid Sector given Volume?

Total Surface Area of Toroid Sector given Volume calculator uses Total Surface Area of Toroid Sector = ((2*pi*Cross Sectional Perimeter of Toroid)*((Volume of Toroid Sector/(2*pi*Cross Sectional Area of Toroid))))+(2*Cross Sectional Area of Toroid) to calculate the Total Surface Area of Toroid Sector, Total Surface Area of Toroid Sector given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid Sector, calculated using volume of Toroid Sector. Total Surface Area of Toroid Sector is denoted by TSA_Sector symbol.

How to calculate Total Surface Area of Toroid Sector given Volume using this online calculator? To use this online calculator for Total Surface Area of Toroid Sector given Volume, enter Cross Sectional Perimeter of Toroid (P_{Cross Section}), Volume of Toroid Sector (V_Sector) & Cross Sectional Area of Toroid (A_{Cross Section}) and hit the calculate button. Here is how the Total Surface Area of Toroid Sector given Volume calculation can be explained with given input values -> 1042 = ((2*pi*30)*((1570/(2*pi*50))))+(2*50).

FAQ

What is Total Surface Area of Toroid Sector given Volume?

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

How to calculate Total Surface Area of Toroid Sector given Volume?

Total Surface Area of Toroid Sector given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Toroid Sector, calculated using volume of Toroid Sector is calculated using Total Surface Area of Toroid Sector = ((2*pi*Cross Sectional Perimeter of Toroid)*((Volume of Toroid Sector/(2*pi*Cross Sectional Area of Toroid))))+(2*Cross Sectional Area of Toroid). To calculate Total Surface Area of Toroid Sector given Volume, you need Cross Sectional Perimeter of Toroid (P_{Cross Section}), Volume of Toroid Sector (V_Sector) & Cross Sectional Area of Toroid (A_{Cross Section}). With our tool, you need to enter the respective value for Cross Sectional Perimeter of Toroid, Volume of Toroid Sector & 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 Total Surface Area of Toroid Sector?

In this formula, Total Surface Area of Toroid Sector uses Cross Sectional Perimeter of Toroid, Volume of Toroid Sector & Cross Sectional Area of Toroid. We can use 4 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid)
Total Surface Area of Toroid Sector = ((2*pi*(Volume of Toroid Sector/(2*pi*Cross Sectional Area of Toroid*(Angle of Intersection of Toroid Sector/(2*pi))))*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid)
Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*(Volume of Toroid Sector/(2*pi*Radius of Toroid*(Angle of Intersection of Toroid Sector/(2*pi)))))
Total Surface Area of Toroid Sector = ((2*pi*Radius of Toroid*Cross Sectional Perimeter of Toroid)*(Angle of Intersection of Toroid Sector/(2*pi)))+(2*Cross Sectional Area of Toroid)

Home

FREE PDFs

🔍 Search