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Radius of Torus given Volume of Torus Sector Formula

GoRadius of Torus given Lateral Surface Area of Torus Sector Formula

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

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

r - Radius of Torus?V_Sector - Volume of Torus Sector?r_{Circular Section} - Radius of Circular Section of Torus?∠_Intersection - Angle of Intersection of Torus Sector?π - Archimedes' constant?

Radius of Torus given Volume of Torus Sector Example

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

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

Here is how the Radius of Torus given Volume of Torus Sector equation looks like.

9.9738 = (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})})

9.9738m = (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})})

9.9738 = (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{30}{2 \cdot 3.1416})})

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Radius of Torus given Volume of Torus Sector Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

r = (\frac{1050m³}{2 \cdot (π^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot π})})

Next Step Substitute values of Constants

∴

r = (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{30°}{2 \cdot 3.1416})})

Next Step Convert Units

∴

r = (\frac{1050m³}{2 \cdot ({3.1416}^{2}) \cdot ({8m}^{2}) \cdot (\frac{0.5236rad}{2 \cdot 3.1416})})

Next Step Prepare to Evaluate

∴

r = (\frac{1050}{2 \cdot ({3.1416}^{2}) \cdot (8^{2}) \cdot (\frac{0.5236}{2 \cdot 3.1416})})

Next Step Evaluate

∴

r = 9.97380401479451m

LAST Step Rounding Answer

∴

r = 9.9738m

Radius of Torus given Volume of Torus Sector Formula Elements

Variables

Constants

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

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 Radius of Torus

Go Radius of Torus given Lateral Surface Area of Torus Sector

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

How to Evaluate Radius of Torus given Volume of Torus Sector?

Radius of Torus given Volume of Torus Sector evaluator uses Radius of Torus = (Volume of Torus Sector/(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi)))) to evaluate the Radius of Torus, Radius of Torus given Volume of Torus Sector formula is defined as the line connecting the center of overall Torus to the center of circular cross section of Torus, calculated using volume of Torus Sector. Radius of Torus is denoted by r symbol.

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

FAQs on Radius of Torus given Volume of Torus Sector

What is the formula to find Radius of Torus given Volume of Torus Sector?

The formula of Radius of Torus given Volume of Torus Sector is expressed as Radius of Torus = (Volume of Torus Sector/(2*(pi^2)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi)))). Here is an example- 9.973804 = (1050/(2*(pi^2)*(8^2)*(0.5235987755982/(2*pi)))).

How to calculate Radius of Torus given Volume of Torus Sector?

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

What are the other ways to Calculate Radius of Torus?

Here are the different ways to Calculate Radius of Torus-

Radius of Torus=(Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Circular Section of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))

Can the Radius of Torus given Volume of Torus Sector be negative?

No, the Radius of Torus given Volume of Torus Sector, measured in Length cannot be negative.

Which unit is used to measure Radius of Torus given Volume of Torus Sector?

Radius of Torus given Volume of Torus Sector is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Radius of Torus given Volume of Torus Sector can be measured.

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Radius of Torus given Volume of Torus Sector Formula

​GoRadius of Torus given Lateral Surface Area of Torus Sector Formula

Radius of Torus given Volume of Torus Sector Example

Radius of Torus given Volume of Torus Sector Solution

Radius of Torus given Volume of Torus Sector Formula Elements

Other Formulas to find Radius of Torus

How to Evaluate Radius of Torus given Volume of Torus Sector?

FAQs on Radius of Torus given Volume of Torus Sector

Variable Name

GoRadius of Torus given Lateral Surface Area of Torus Sector Formula