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Lateral Surface Area of Torus Sector Formula

GoLateral Surface Area of Torus Sector given Volume Formula

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

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

LSA_Sector - Lateral Surface Area of Torus Sector?r - Radius of Torus?r_{Circular Section} - Radius of Circular Section of Torus?∠_Intersection - Angle of Intersection of Torus Sector?π - Archimedes' constant?

Lateral Surface Area of Torus Sector Example

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

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

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

263.1895 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8) \cdot (\frac{30}{2 \cdot 3.1416}))

263.1895m² = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (8m) \cdot (\frac{30°}{2 \cdot 3.1416}))

263.1895 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8) \cdot (\frac{30}{2 \cdot 3.1416}))

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Lateral Surface Area of Torus Sector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA Sector = (4 \cdot (π^{2}) \cdot (10m) \cdot (8m) \cdot (\frac{30°}{2 \cdot π}))

Next Step Substitute values of Constants

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (8m) \cdot (\frac{30°}{2 \cdot 3.1416}))

Next Step Convert Units

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (8m) \cdot (\frac{0.5236rad}{2 \cdot 3.1416}))

Next Step Prepare to Evaluate

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8) \cdot (\frac{0.5236}{2 \cdot 3.1416}))

Next Step Evaluate

∴

LSA Sector = 263.189450695667m²

LAST Step Rounding Answer

∴

LSA Sector = 263.1895m²

Lateral Surface Area of Torus Sector Formula Elements

Variables

Constants

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

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

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 Lateral Surface Area of Torus Sector

Go Lateral Surface Area of Torus Sector given Volume

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

Other formulas in Lateral Surface Area of Torus Sector category

Go Total Surface Area of Torus Sector

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

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})))

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 Lateral Surface Area of Torus Sector?

Lateral Surface Area of Torus Sector evaluator uses Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))) to evaluate the Lateral Surface Area of Torus Sector, Lateral Surface Area of Torus Sector formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of the Torus. Lateral Surface Area of Torus Sector is denoted by LSA_Sector symbol.

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

FAQs on Lateral Surface Area of Torus Sector

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

The formula of Lateral Surface Area of Torus Sector is expressed as Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))). Here is an example- 263.1895 = (4*(pi^2)*(10)*(8)*(0.5235987755982/(2*pi))).

How to calculate Lateral Surface Area of Torus Sector?

With Radius of Torus (r), Radius of Circular Section of Torus (r_{Circular Section}) & Angle of Intersection of Torus Sector (∠_Intersection) we can find Lateral Surface Area of Torus Sector using the formula - Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))). This formula also uses Archimedes' constant .

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

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

Lateral Surface Area of Torus Sector=2*(Volume of Torus Sector/(Radius of Circular Section of Torus))

Can the Lateral Surface Area of Torus Sector be negative?

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

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

Lateral 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 Lateral Surface Area of Torus Sector can be measured.

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: Unit

Lateral Surface Area of Torus Sector Formula

​GoLateral Surface Area of Torus Sector given Volume Formula

Lateral Surface Area of Torus Sector Example

Lateral Surface Area of Torus Sector Solution

Lateral Surface Area of Torus Sector Formula Elements

Other Formulas to find Lateral Surface Area of Torus Sector

Other formulas in Lateral Surface Area of Torus Sector category

How to Evaluate Lateral Surface Area of Torus Sector?

FAQs on Lateral Surface Area of Torus Sector

Variable Name

GoLateral Surface Area of Torus Sector given Volume Formula