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Total Surface Area of Toroid Sector given Volume of Toroid Sector Formula

GoTotal Surface Area of Toroid Sector Formula

GoTotal Surface Area of Toroid Sector given Volume Formula

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Total Surface Area of Toroid Sector is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid Sector. Check FAQs

TSA Sector = ((2 \cdot π \cdot (\frac{V Sector}{2 \cdot π \cdot A Cross Section \cdot (\frac{∠ Intersection}{2 \cdot π})}) \cdot P Cross Section) \cdot (\frac{∠ Intersection}{2 \cdot π})) + (2 \cdot A Cross Section)

TSA_Sector - Total Surface Area of Toroid Sector?V_Sector - Volume of Toroid Sector?A_{Cross Section} - Cross Sectional Area of Toroid?∠_Intersection - Angle of Intersection of Toroid Sector?P_{Cross Section} - Cross Sectional Perimeter of Toroid?π - Archimedes' constant?

Total Surface Area of Toroid Sector given Volume of Toroid Sector Example

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Here is how the Total Surface Area of Toroid Sector given Volume of Toroid Sector equation looks like with Values.

Here is how the Total Surface Area of Toroid Sector given Volume of Toroid Sector equation looks like with Units.

Here is how the Total Surface Area of Toroid Sector given Volume of Toroid Sector equation looks like.

1042 = ((2 \cdot 3.1416 \cdot (\frac{1570}{2 \cdot 3.1416 \cdot 50 \cdot (\frac{180}{2 \cdot 3.1416})}) \cdot 30) \cdot (\frac{180}{2 \cdot 3.1416})) + (2 \cdot 50)

1042m² = ((2 \cdot 3.1416 \cdot (\frac{1570m³}{2 \cdot 3.1416 \cdot 50m² \cdot (\frac{180°}{2 \cdot 3.1416})}) \cdot 30m) \cdot (\frac{180°}{2 \cdot 3.1416})) + (2 \cdot 50m²)

1042 = ((2 \cdot 3.1416 \cdot (\frac{1570}{2 \cdot 3.1416 \cdot 50 \cdot (\frac{180}{2 \cdot 3.1416})}) \cdot 30) \cdot (\frac{180}{2 \cdot 3.1416})) + (2 \cdot 50)

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Total Surface Area of Toroid Sector given Volume of Toroid Sector Solution

Follow our step by step solution on how to calculate Total Surface Area of Toroid Sector given Volume of Toroid Sector?

FIRST Step Consider the formula

TSA Sector = ((2 \cdot π \cdot (\frac{V Sector}{2 \cdot π \cdot A Cross Section \cdot (\frac{∠ Intersection}{2 \cdot π})}) \cdot P Cross Section) \cdot (\frac{∠ Intersection}{2 \cdot π})) + (2 \cdot A Cross Section)

Next Step Substitute values of Variables

∴

TSA Sector = ((2 \cdot π \cdot (\frac{1570m³}{2 \cdot π \cdot 50m² \cdot (\frac{180°}{2 \cdot π})}) \cdot 30m) \cdot (\frac{180°}{2 \cdot π})) + (2 \cdot 50m²)

Next Step Substitute values of Constants

∴

TSA Sector = ((2 \cdot 3.1416 \cdot (\frac{1570m³}{2 \cdot 3.1416 \cdot 50m² \cdot (\frac{180°}{2 \cdot 3.1416})}) \cdot 30m) \cdot (\frac{180°}{2 \cdot 3.1416})) + (2 \cdot 50m²)

Next Step Convert Units

∴

TSA Sector = ((2 \cdot 3.1416 \cdot (\frac{1570m³}{2 \cdot 3.1416 \cdot 50m² \cdot (\frac{3.1416rad}{2 \cdot 3.1416})}) \cdot 30m) \cdot (\frac{3.1416rad}{2 \cdot 3.1416})) + (2 \cdot 50m²)

Next Step Prepare to Evaluate

∴

TSA Sector = ((2 \cdot 3.1416 \cdot (\frac{1570}{2 \cdot 3.1416 \cdot 50 \cdot (\frac{3.1416}{2 \cdot 3.1416})}) \cdot 30) \cdot (\frac{3.1416}{2 \cdot 3.1416})) + (2 \cdot 50)

LAST Step Evaluate

∴

TSA Sector = 1042m²

Total Surface Area of Toroid Sector given Volume of Toroid Sector Formula Elements

Variables

Constants

Total Surface Area of Toroid Sector

Total Surface Area of Toroid Sector is the total quantity of two-dimensional space enclosed on the entire surface of the Toroid Sector.

Symbol: TSA_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Toroid Sector

Volume of Toroid Sector

Volume of Toroid Sector is the amount of three dimensional space occupied by the Toroid Sector.

Symbol: V_Sector

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Toroid Sector

Cross Sectional Area of Toroid

Cross Sectional Area of Toroid is the amount of two-dimensional space occupied by the cross-section of the Toroid.

Symbol: A_{Cross Section}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Sectional Area of Toroid

Angle of Intersection of Toroid Sector

Angle of Intersection of Toroid Sector is the angle subtended by the planes in which each of the circular end faces of the Toroid Sector is contained.

Symbol: ∠_Intersection

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Intersection of Toroid Sector

Cross Sectional Perimeter of Toroid

Cross Sectional Perimeter of Toroid is the total length of the boundary of the cross-section of the Toroid.

Symbol: P_{Cross Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cross Sectional Perimeter of Toroid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

Other Formulas to find Total Surface Area of Toroid Sector

Go Total Surface Area of Toroid Sector

TSA Sector = ((2 \cdot π \cdot r \cdot P Cross Section) \cdot (\frac{∠ Intersection}{2 \cdot π})) + (2 \cdot A Cross Section)

Go Total Surface Area of Toroid Sector given Volume

TSA Sector = ((2 \cdot π \cdot P Cross Section) \cdot ((\frac{V Sector}{2 \cdot π \cdot A Cross Section}))) + (2 \cdot A Cross Section)

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

TSA Sector = ((2 \cdot π \cdot r \cdot P Cross Section) \cdot (\frac{∠ Intersection}{2 \cdot π})) + (2 \cdot (\frac{V Sector}{2 \cdot π \cdot r \cdot (\frac{∠ Intersection}{2 \cdot π})}))

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

Total Surface Area of Toroid Sector given Volume of Toroid Sector evaluator uses 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) to evaluate the Total Surface Area of Toroid Sector, Total Surface Area of Toroid Sector given Volume of Toroid Sector formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Toroid sector, calculated using the volume of Toroid Sector. Total Surface Area of Toroid Sector is denoted by TSA_Sector symbol.

How to evaluate Total Surface Area of Toroid Sector given Volume of Toroid Sector using this online evaluator? To use this online evaluator for Total Surface Area of Toroid Sector given Volume of Toroid Sector, enter Volume of Toroid Sector (V_Sector), Cross Sectional Area of Toroid (A_{Cross Section}), Angle of Intersection of Toroid Sector (∠_Intersection) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) and hit the calculate button.

FAQs on Total Surface Area of Toroid Sector given Volume of Toroid Sector

What is the formula to find Total Surface Area of Toroid Sector given Volume of Toroid Sector?

The formula of Total Surface Area of Toroid Sector given Volume of Toroid Sector is expressed as 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). Here is an example- 1042 = ((2*pi*(1570/(2*pi*50*(3.1415926535892/(2*pi))))*30)*(3.1415926535892/(2*pi)))+(2*50).

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

With Volume of Toroid Sector (V_Sector), Cross Sectional Area of Toroid (A_{Cross Section}), Angle of Intersection of Toroid Sector (∠_Intersection) & Cross Sectional Perimeter of Toroid (P_{Cross Section}) we can find Total Surface Area of Toroid Sector given Volume of Toroid Sector using the formula - 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). This formula also uses Archimedes' constant .

What are the other ways to Calculate Total Surface Area of Toroid Sector?

Here are the different ways to Calculate Total Surface Area of Toroid Sector-

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*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=((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)))))

Can the Total Surface Area of Toroid Sector given Volume of Toroid Sector be negative?

No, the Total Surface Area of Toroid Sector given Volume of Toroid Sector, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Toroid Sector given Volume of Toroid Sector?

Total Surface Area of Toroid Sector given Volume of Toroid Sector is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Toroid Sector given Volume of Toroid Sector can be measured.

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Total Surface Area of Toroid Sector given Volume of Toroid Sector Formula

​GoTotal Surface Area of Toroid Sector Formula

​GoTotal Surface Area of Toroid Sector given Volume Formula

Total Surface Area of Toroid Sector given Volume of Toroid Sector Example

Total Surface Area of Toroid Sector given Volume of Toroid Sector Solution

Total Surface Area of Toroid Sector given Volume of Toroid Sector Formula Elements

Other Formulas to find Total Surface Area of Toroid Sector

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

FAQs on Total Surface Area of Toroid Sector given Volume of Toroid Sector

Variable Name

GoTotal Surface Area of Toroid Sector Formula

GoTotal Surface Area of Toroid Sector given Volume Formula