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Surface to Volume Ratio of Torus Sector Formula

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Surface to Volume Ratio of Torus Sector is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector. Check FAQs

R A/V(Sector) = \frac{LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{2}))}{2 \cdot (π^{2}) \cdot (r) \cdot ({r Circular Section}^{2}) \cdot (\frac{∠ Intersection}{2 \cdot π})}

R_A/V(Sector) - Surface to Volume Ratio of Torus Sector?LSA_Sector - Lateral Surface Area of Torus Sector?r_{Circular Section} - Radius of Circular Section of Torus?r - Radius of Torus?∠_Intersection - Angle of Intersection of Torus Sector?π - Archimedes' constant?

Surface to Volume Ratio of Torus Sector Example

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Here is how the Surface to Volume Ratio of Torus Sector equation looks like with Values.

Here is how the Surface to Volume Ratio of Torus Sector equation looks like with Units.

Here is how the Surface to Volume Ratio of Torus Sector equation looks like.

0.6289 = \frac{260 + (2 \cdot 3.1416 \cdot (8^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})}

0.6289m⁻¹ = \frac{260m² + (2 \cdot 3.1416 \cdot ({8m}^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})}

0.6289 = \frac{260 + (2 \cdot 3.1416 \cdot (8^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})}

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Surface to Volume Ratio of Torus Sector Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Torus Sector?

FIRST Step Consider the formula

R A/V(Sector) = \frac{LSA Sector + (2 \cdot π \cdot ({r Circular Section}^{2}))}{2 \cdot (π^{2}) \cdot (r) \cdot ({r Circular Section}^{2}) \cdot (\frac{∠ Intersection}{2 \cdot π})}

Next Step Substitute values of Variables

∴

R A/V(Sector) = \frac{260m² + (2 \cdot π \cdot ({8m}^{2}))}{2 \cdot (π^{2}) \cdot (10m) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot π})}

Next Step Substitute values of Constants

∴

R A/V(Sector) = \frac{260m² + (2 \cdot 3.1416 \cdot ({8m}^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})}

Next Step Convert Units

∴

R A/V(Sector) = \frac{260m² + (2 \cdot 3.1416 \cdot ({8m}^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10m) \cdot ({8m}^{2}) \cdot (\frac{0.5236rad}{2 \cdot 3.1416})}

Next Step Prepare to Evaluate

∴

R A/V(Sector) = \frac{260 + (2 \cdot 3.1416 \cdot (8^{2}))}{2 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8^{2}) \cdot (\frac{0.5236}{2 \cdot 3.1416})}

Next Step Evaluate

∴

R A/V(Sector) = 0.628942248548866m⁻¹

LAST Step Rounding Answer

∴

R A/V(Sector) = 0.6289m⁻¹

Surface to Volume Ratio of Torus Sector Formula Elements

Variables

Constants

Surface to Volume Ratio of Torus Sector

Surface to Volume Ratio of Torus Sector is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector.

Symbol: R_A/V(Sector)

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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

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

How to Evaluate Surface to Volume Ratio of Torus Sector?

Surface to Volume Ratio of Torus Sector evaluator uses Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))) to evaluate the Surface to Volume Ratio of Torus Sector, Surface to Volume Ratio of Torus Sector formula is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector. Surface to Volume Ratio of Torus Sector is denoted by R_A/V(Sector) symbol.

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

FAQs on Surface to Volume Ratio of Torus Sector

What is the formula to find Surface to Volume Ratio of Torus Sector?

The formula of Surface to Volume Ratio of Torus Sector is expressed as Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))). Here is an example- 0.628942 = (260+(2*pi*(8^2)))/(2*(pi^2)*(10)*(8^2)*(0.5235987755982/(2*pi))).

How to calculate Surface to Volume Ratio of Torus Sector?

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

Can the Surface to Volume Ratio of Torus Sector be negative?

No, the Surface to Volume Ratio of Torus Sector, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Torus Sector?

Surface to Volume Ratio of Torus Sector is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Torus Sector can be measured.

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Surface to Volume Ratio of Torus Sector Formula

Surface to Volume Ratio of Torus Sector Example

Surface to Volume Ratio of Torus Sector Solution

Surface to Volume Ratio of Torus Sector Formula Elements

How to Evaluate Surface to Volume Ratio of Torus Sector?

FAQs on Surface to Volume Ratio of Torus Sector

Variable Name