FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Lateral Surface Area of Torus Sector given Volume and Radius Formula

GoLateral Surface Area of Torus Sector Formula

GoLateral Surface Area of Torus Sector given Total Surface Area Formula

Fx Copy

LaTeX Copy

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 (\sqrt{\frac{V Sector}{2 \cdot (π^{2}) \cdot (r) \cdot (\frac{∠ Intersection}{2 \cdot π})}}) \cdot (\frac{∠ Intersection}{2 \cdot π}))

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

Lateral Surface Area of Torus Sector given Volume and Radius Example

With values

With units

Only example

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

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

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

262.8445 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{30}{2 \cdot 3.1416})}}) \cdot (\frac{30}{2 \cdot 3.1416}))

262.8445m² = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\sqrt{\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot 3.1416})}}) \cdot (\frac{30°}{2 \cdot 3.1416}))

262.8445 = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{30}{2 \cdot 3.1416})}}) \cdot (\frac{30}{2 \cdot 3.1416}))

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Lateral Surface Area of Torus Sector given Volume and Radius

Lateral Surface Area of Torus Sector given Volume and Radius Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA Sector = (4 \cdot (π^{2}) \cdot (10m) \cdot (\sqrt{\frac{1050m³}{2 \cdot (π^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot π})}}) \cdot (\frac{30°}{2 \cdot π}))

Next Step Substitute values of Constants

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\sqrt{\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{30°}{2 \cdot 3.1416})}}) \cdot (\frac{30°}{2 \cdot 3.1416}))

Next Step Convert Units

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\sqrt{\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (\frac{0.5236rad}{2 \cdot 3.1416})}}) \cdot (\frac{0.5236rad}{2 \cdot 3.1416}))

Next Step Prepare to Evaluate

∴

LSA Sector = (4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\sqrt{\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (\frac{0.5236}{2 \cdot 3.1416})}}) \cdot (\frac{0.5236}{2 \cdot 3.1416}))

Next Step Evaluate

∴

LSA Sector = 262.844499291145m²

LAST Step Rounding Answer

∴

LSA Sector = 262.8445m²

Lateral Surface Area of Torus Sector given Volume and Radius Formula Elements

Variables

Constants

Functions

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

Volume of Torus Sector

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

Symbol: V_Sector

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Torus Sector

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

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Lateral Surface Area of Torus Sector

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 Total Surface Area

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

Go Lateral Surface Area of Torus Sector given Volume

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

Go Lateral Surface Area of Torus Sector given Volume and Major Radius

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

How to Evaluate Lateral Surface Area of Torus Sector given Volume and Radius?

Lateral Surface Area of Torus Sector given Volume and Radius evaluator uses Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))))*(Angle of Intersection of Torus Sector/(2*pi))) to evaluate the Lateral Surface Area of Torus Sector, Lateral Surface Area of Torus Sector given Volume and Radius formula is defined as the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus, calculated using volume and radius of Torus Sector. Lateral Surface Area of Torus Sector is denoted by LSA_Sector symbol.

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

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

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

The formula of Lateral Surface Area of Torus Sector given Volume and Radius is expressed as Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))))*(Angle of Intersection of Torus Sector/(2*pi))). Here is an example- 262.8445 = (4*(pi^2)*(10)*(sqrt(1050/(2*(pi^2)*(10)*(0.5235987755982/(2*pi)))))*(0.5235987755982/(2*pi))).

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

With Radius of Torus (r), Volume of Torus Sector (V_Sector) & Angle of Intersection of Torus Sector (∠_Intersection) we can find Lateral Surface Area of Torus Sector given Volume and Radius using the formula - Lateral Surface Area of Torus Sector = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))))*(Angle of Intersection of Torus Sector/(2*pi))). This formula also uses Archimedes' constant and Square Root (sqrt) function(s).

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=(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi)))
Lateral Surface Area of Torus Sector=(Total Surface Area of Torus Sector-(2*pi*(Radius of Circular Section of Torus^2)))
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 given Volume and Radius be negative?

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Lateral Surface Area of Torus Sector given Volume and Radius Formula

​GoLateral Surface Area of Torus Sector Formula

​GoLateral Surface Area of Torus Sector given Total Surface Area Formula

Lateral Surface Area of Torus Sector given Volume and Radius Example

Lateral Surface Area of Torus Sector given Volume and Radius Solution

Lateral Surface Area of Torus Sector given Volume and Radius Formula Elements

Other Formulas to find Lateral Surface Area of Torus Sector

How to Evaluate Lateral Surface Area of Torus Sector given Volume and Radius?

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

Variable Name

GoLateral Surface Area of Torus Sector Formula

GoLateral Surface Area of Torus Sector given Total Surface Area Formula