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Total Surface Area of Toroid Sector given Volume Formula

GoTotal Surface Area of Toroid Sector 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 P Cross Section) \cdot ((\frac{V Sector}{2 \cdot π \cdot A Cross Section}))) + (2 \cdot A Cross Section)

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

Total Surface Area of Toroid Sector given Volume Example

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

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

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

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

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

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

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Total Surface Area of Toroid Sector given Volume Solution

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

FIRST Step Consider the formula

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)

Next Step Substitute values of Variables

∴

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

Next Step Substitute values of Constants

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

TSA Sector = 1042m²

Total Surface Area of Toroid Sector given Volume 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

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

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

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)

Other formulas in Total Surface Area of Toroid Sector category

Go Volume of Toroid Sector

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

Go Volume of Toroid Sector given Total Surface Area

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

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

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

Go Cross Sectional Area of Toroid given Volume of Toroid Sector

A Cross Section = (\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?

Total Surface Area of Toroid Sector given Volume evaluator 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 evaluate 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 evaluate Total Surface Area of Toroid Sector given Volume using this online evaluator? To use this online evaluator 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.

FAQs on Total Surface Area of Toroid Sector given Volume

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

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

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

With Cross Sectional Perimeter of Toroid (P_{Cross Section}), Volume of Toroid Sector (V_Sector) & Cross Sectional Area of Toroid (A_{Cross Section}) we can find Total Surface Area of Toroid Sector given Volume using the formula - 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). 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)

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

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

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

Total Surface Area of Toroid Sector given Volume 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 can be measured.

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Total Surface Area of Toroid Sector given Volume Formula

​GoTotal Surface Area of Toroid Sector Formula

Total Surface Area of Toroid Sector given Volume Example

Total Surface Area of Toroid Sector given Volume Solution

Total Surface Area of Toroid Sector given Volume Formula Elements

Other Formulas to find Total Surface Area of Toroid Sector

Other formulas in Total Surface Area of Toroid Sector category

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

FAQs on Total Surface Area of Toroid Sector given Volume

Variable Name

GoTotal Surface Area of Toroid Sector Formula