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Total Surface Area of Torus Sector Formula

GoTotal Surface Area of Torus Sector given Lateral Surface Area and Radius Formula

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

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{2})))

TSA_Sector - Total Surface Area of Torus Sector?LSA_Sector - Lateral Surface Area of Torus Sector?r_{Circular Section} - Radius of Circular Section of Torus?π - Archimedes' constant?

Total Surface Area of Torus Sector Example

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Here is how the Total Surface Area of Torus Sector equation looks like with Values.

Here is how the Total Surface Area of Torus Sector equation looks like with Units.

Here is how the Total Surface Area of Torus Sector equation looks like.

662.1239 = (260 + (2 \cdot 3.1416 \cdot (8^{2})))

662.1239m² = (260m² + (2 \cdot 3.1416 \cdot ({8m}^{2})))

662.1239 = (260 + (2 \cdot 3.1416 \cdot (8^{2})))

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Total Surface Area of Torus Sector Solution

Follow our step by step solution on how to calculate Total Surface Area of Torus Sector?

FIRST Step Consider the formula

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{2})))

Next Step Substitute values of Variables

∴

TSA Sector = (260m² + (2 \cdot π \cdot ({8m}^{2})))

Next Step Substitute values of Constants

∴

TSA Sector = (260m² + (2 \cdot 3.1416 \cdot ({8m}^{2})))

Next Step Prepare to Evaluate

∴

TSA Sector = (260 + (2 \cdot 3.1416 \cdot (8^{2})))

Next Step Evaluate

∴

TSA Sector = 662.123859659494m²

LAST Step Rounding Answer

∴

TSA Sector = 662.1239m²

Total Surface Area of Torus Sector Formula Elements

Variables

Constants

Total Surface Area of Torus Sector

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

Symbol: TSA_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Torus Sector

Lateral Surface Area of Torus Sector

Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

Symbol: LSA_Sector

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Torus Sector

Radius of Circular Section of Torus

Radius of Circular Section of Torus is the line connecting the center of the circular cross section to any point on the circumference of the circular cross section of the Torus.

Symbol: r_{Circular Section}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Circular Section of Torus

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 Torus Sector

Go Total Surface Area of Torus Sector given Lateral Surface Area and Radius

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({(\frac{LSA Sector}{4 \cdot (π^{2}) \cdot (r) \cdot (\frac{∠ Intersection}{2 \cdot π})})}^{2})))

Other formulas in Total Surface Area of Torus Sector category

Go Lateral Surface Area of Torus Sector

LSA Sector = (4 \cdot (π^{2}) \cdot (r) \cdot (r Circular Section) \cdot (\frac{∠ Intersection}{2 \cdot π}))

Go Lateral Surface Area of Torus Sector given Volume

LSA Sector = 2 \cdot (\frac{V Sector}{r Circular Section})

Go Volume of Torus Sector

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

Go Volume of Torus Sector given Lateral Surface Area

V Sector = \frac{r Circular Section \cdot LSA Sector}{2}

How to Evaluate Total Surface Area of Torus Sector?

Total Surface Area of Torus Sector evaluator uses Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2))) to evaluate the Total Surface Area of Torus Sector, Total Surface Area of Torus Sector formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector. Total Surface Area of Torus Sector is denoted by TSA_Sector symbol.

How to evaluate Total Surface Area of Torus Sector using this online evaluator? To use this online evaluator for Total Surface Area of Torus Sector, enter Lateral Surface Area of Torus Sector (LSA_Sector) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button.

FAQs on Total Surface Area of Torus Sector

What is the formula to find Total Surface Area of Torus Sector?

The formula of Total Surface Area of Torus Sector is expressed as Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2))). Here is an example- 662.1239 = (260+(2*pi*(8^2))).

How to calculate Total Surface Area of Torus Sector?

With Lateral Surface Area of Torus Sector (LSA_Sector) & Radius of Circular Section of Torus (r_{Circular Section}) we can find Total Surface Area of Torus Sector using the formula - Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2))). This formula also uses Archimedes' constant .

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

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

Total Surface Area of Torus Sector=(Lateral Surface Area of Torus Sector+(2*pi*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^2)))

Can the Total Surface Area of Torus Sector be negative?

No, the Total Surface Area of Torus Sector, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Torus Sector?

Total Surface Area of Torus 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 Torus Sector can be measured.

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Total Surface Area of Torus Sector Formula

​GoTotal Surface Area of Torus Sector given Lateral Surface Area and Radius Formula

Total Surface Area of Torus Sector Example

Total Surface Area of Torus Sector Solution

Total Surface Area of Torus Sector Formula Elements

Other Formulas to find Total Surface Area of Torus Sector

Other formulas in Total Surface Area of Torus Sector category

How to Evaluate Total Surface Area of Torus Sector?

FAQs on Total Surface Area of Torus Sector

Variable Name

GoTotal Surface Area of Torus Sector given Lateral Surface Area and Radius Formula