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Angle of Intersection of Torus Sector Formula

GoAngle of Intersection of Torus Sector given Volume Formula

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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. Check FAQs

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

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

Angle of Intersection of Torus Sector Example

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Here is how the Angle of Intersection of Torus Sector equation looks like with Values.

Here is how the Angle of Intersection of Torus Sector equation looks like with Units.

Here is how the Angle of Intersection of Torus Sector equation looks like.

29.6364 = (\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8)}) \cdot (2 \cdot 3.1416)

29.6364° = (\frac{260m²}{4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (8m)}) \cdot (2 \cdot 3.1416)

29.6364 = (\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8)}) \cdot (2 \cdot 3.1416)

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Angle of Intersection of Torus Sector Solution

Follow our step by step solution on how to calculate Angle of Intersection of Torus Sector?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

∠ Intersection = (\frac{260m²}{4 \cdot (π^{2}) \cdot (10m) \cdot (8m)}) \cdot (2 \cdot π)

Next Step Substitute values of Constants

∴

∠ Intersection = (\frac{260m²}{4 \cdot ({3.1416}^{2}) \cdot (10m) \cdot (8m)}) \cdot (2 \cdot 3.1416)

Next Step Prepare to Evaluate

∴

∠ Intersection = (\frac{260}{4 \cdot ({3.1416}^{2}) \cdot (10) \cdot (8)}) \cdot (2 \cdot 3.1416)

Next Step Evaluate

∴

∠ Intersection = 0.51725356504866rad

Next Step Convert to Output's Unit

∴

∠ Intersection = 29.6364462153894°

LAST Step Rounding Answer

∴

∠ Intersection = 29.6364°

Angle of Intersection of Torus Sector Formula Elements

Variables

Constants

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

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

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 Angle of Intersection of Torus Sector

Go Angle of Intersection of Torus Sector given Volume

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

How to Evaluate Angle of Intersection of Torus Sector?

Angle of Intersection of Torus Sector evaluator uses Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi) to evaluate the Angle of Intersection of Torus Sector, Angle of Intersection of Torus Sector formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained. Angle of Intersection of Torus Sector is denoted by ∠_Intersection symbol.

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

FAQs on Angle of Intersection of Torus Sector

What is the formula to find Angle of Intersection of Torus Sector?

The formula of Angle of Intersection of Torus Sector is expressed as Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi). Here is an example- 1698.043 = (260/(4*(pi^2)*(10)*(8)))*(2*pi).

How to calculate Angle of Intersection of Torus Sector?

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

What are the other ways to Calculate Angle of Intersection of Torus Sector?

Here are the different ways to Calculate Angle of Intersection of Torus Sector-

Angle of Intersection of Torus Sector=(Volume of Torus Sector/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)))*(2*pi)

Can the Angle of Intersection of Torus Sector be negative?

No, the Angle of Intersection of Torus Sector, measured in Angle cannot be negative.

Which unit is used to measure Angle of Intersection of Torus Sector?

Angle of Intersection of Torus Sector is usually measured using the Degree[°] for Angle. Radian[°], Minute[°], Second[°] are the few other units in which Angle of Intersection of Torus Sector can be measured.

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Angle of Intersection of Torus Sector Formula

​GoAngle of Intersection of Torus Sector given Volume Formula

Angle of Intersection of Torus Sector Example

Angle of Intersection of Torus Sector Solution

Angle of Intersection of Torus Sector Formula Elements

Other Formulas to find Angle of Intersection of Torus Sector

How to Evaluate Angle of Intersection of Torus Sector?

FAQs on Angle of Intersection of Torus Sector

Variable Name

GoAngle of Intersection of Torus Sector given Volume Formula