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

GoTotal Surface Area of Torus Sector 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 ({(\frac{LSA Sector}{4 \cdot (π^{2}) \cdot (r) \cdot (\frac{∠ Intersection}{2 \cdot π})})}^{2})))

TSA_Sector - Total Surface Area of Torus Sector?LSA_Sector - Lateral Surface Area of Torus Sector?r - Radius of Torus?∠_Intersection - Angle of Intersection of Torus Sector?π - Archimedes' constant?

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

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

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

Here is how the Total Surface Area of Torus Sector given Lateral Surface Area and Radius equation looks like.

652.4367 = (260 + (2 \cdot 3.1416 \cdot ({(\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{30}{2 \cdot 3.1416})})}^{2})))

652.4367m² = (260m² + (2 \cdot 3.1416 \cdot ({(\frac{260m²}{4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot 3.1416})})}^{2})))

652.4367 = (260 + (2 \cdot 3.1416 \cdot ({(\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{30}{2 \cdot 3.1416})})}^{2})))

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA Sector = (260m² + (2 \cdot π \cdot ({(\frac{260m²}{4 \cdot (π^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot π})})}^{2})))

Next Step Substitute values of Constants

∴

TSA Sector = (260m² + (2 \cdot 3.1416 \cdot ({(\frac{260m²}{4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot 3.1416})})}^{2})))

Next Step Convert Units

∴

TSA Sector = (260m² + (2 \cdot 3.1416 \cdot ({(\frac{260m²}{4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{0.5236rad}{2 \cdot 3.1416})})}^{2})))

Next Step Prepare to Evaluate

∴

TSA Sector = (260 + (2 \cdot 3.1416 \cdot ({(\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{0.5236}{2 \cdot 3.1416})})}^{2})))

Next Step Evaluate

∴

TSA Sector = 652.43667098332m²

LAST Step Rounding Answer

∴

TSA Sector = 652.4367m²

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

Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.

Symbol: r

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Radius of Torus

Angle of Intersection of Torus Sector

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

Symbol: ∠_Intersection

Measurement: AngleUnit: °

Note: Value should be between 0 to 360.

Formulas to find Angle of Intersection of Torus Sector

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

TSA Sector = (LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{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 given Lateral Surface Area and Radius?

Total Surface Area of Torus Sector given Lateral Surface Area and Radius evaluator uses 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))) to evaluate the Total Surface Area of Torus Sector, Total Surface Area of Torus Sector given Lateral Surface Area and Radius formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector, calculated using lateral surface area and radius of Torus Sector. Total Surface Area of Torus Sector is denoted by TSA_Sector symbol.

How to evaluate Total Surface Area of Torus Sector given Lateral Surface Area and Radius using this online evaluator? To use this online evaluator for Total Surface Area of Torus Sector given Lateral Surface Area and Radius, enter Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Torus (r) & Angle of Intersection of Torus Sector (∠_Intersection) and hit the calculate button.

FAQs on Total Surface Area of Torus Sector given Lateral Surface Area and Radius

What is the formula to find Total Surface Area of Torus Sector given Lateral Surface Area and Radius?

The formula of Total Surface Area of Torus Sector given Lateral Surface Area and Radius is expressed as 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))). Here is an example- 652.4367 = (260+(2*pi*((260/(4*(pi^2)*(10)*(0.5235987755982/(2*pi))))^2))).

How to calculate Total Surface Area of Torus Sector given Lateral Surface Area and Radius?

With Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Torus (r) & Angle of Intersection of Torus Sector (∠_Intersection) we can find Total Surface Area of Torus Sector given Lateral Surface Area and Radius using the formula - 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))). 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*(Radius of Circular Section of Torus^2)))

Can the Total Surface Area of Torus Sector given Lateral Surface Area and Radius be negative?

No, the Total Surface Area of Torus Sector given Lateral Surface Area and Radius, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Torus Sector given Lateral Surface Area and Radius?

Total Surface Area of Torus Sector given Lateral Surface Area and Radius 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 given Lateral Surface Area and Radius can be measured.

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

​GoTotal Surface Area of Torus Sector Formula

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

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

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

FAQs on Total Surface Area of Torus Sector given Lateral Surface Area and Radius

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GoTotal Surface Area of Torus Sector Formula