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Hole Radius of Torus given Radius of Circular Section and Total Surface Area Formula

GoHole Radius of Torus Formula

GoHole Radius of Torus given Radius of Circular Section and Breadth Formula

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Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus. Check FAQs

r Hole = (\frac{TSA}{4 \cdot π^{2} \cdot r Circular Section}) - (r Circular Section)

r_Hole - Hole Radius of Torus?TSA - Total Surface Area of Torus?r_{Circular Section} - Radius of Circular Section of Torus?π - Archimedes' constant?

Hole Radius of Torus given Radius of Circular Section and Total Surface Area Example

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Here is how the Hole Radius of Torus given Radius of Circular Section and Total Surface Area equation looks like with Values.

Here is how the Hole Radius of Torus given Radius of Circular Section and Total Surface Area equation looks like with Units.

Here is how the Hole Radius of Torus given Radius of Circular Section and Total Surface Area equation looks like.

2.1321 = (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}) - (8)

2.1321m = (\frac{3200m²}{4 \cdot {3.1416}^{2} \cdot 8m}) - (8m)

2.1321 = (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}) - (8)

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Hole Radius of Torus given Radius of Circular Section and Total Surface Area Solution

Follow our step by step solution on how to calculate Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

FIRST Step Consider the formula

r Hole = (\frac{TSA}{4 \cdot π^{2} \cdot r Circular Section}) - (r Circular Section)

Next Step Substitute values of Variables

∴

r Hole = (\frac{3200m²}{4 \cdot π^{2} \cdot 8m}) - (8m)

Next Step Substitute values of Constants

∴

r Hole = (\frac{3200m²}{4 \cdot {3.1416}^{2} \cdot 8m}) - (8m)

Next Step Prepare to Evaluate

∴

r Hole = (\frac{3200}{4 \cdot {3.1416}^{2} \cdot 8}) - (8)

Next Step Evaluate

∴

r Hole = 2.13211836423378m

LAST Step Rounding Answer

∴

r Hole = 2.1321m

Hole Radius of Torus given Radius of Circular Section and Total Surface Area Formula Elements

Variables

Constants

Hole Radius of Torus

Hole Radius of Torus is the shortest line connecting the center of the Torus to the nearest point on the circumference of the circular cross-section of the Torus.

Symbol: r_Hole

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Hole Radius of Torus

Total Surface Area of Torus

Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Hole Radius of Torus

Go Hole Radius of Torus

r Hole = r - r Circular Section

Go Hole Radius of Torus given Radius of Circular Section and Breadth

r Hole = (\frac{b}{2}) - (2 \cdot r Circular Section)

Go Hole Radius of Torus given Radius of Circular Section and Volume

r Hole = (\frac{V}{2 \cdot π^{2} \cdot {r Circular Section}^{2}}) - (r Circular Section)

Go Hole Radius of Torus given Radius and Breadth

r Hole = r - ((\frac{b}{2}) - r)

How to Evaluate Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

Hole Radius of Torus given Radius of Circular Section and Total Surface Area evaluator uses Hole Radius of Torus = (Total Surface Area of Torus/(4*pi^2*Radius of Circular Section of Torus))-(Radius of Circular Section of Torus) to evaluate the Hole Radius of Torus, Hole Radius of Torus given Radius of Circular Section and Total Surface Area formula is defined as the shortest line connecting the center of Torus to nearest point on circumference of the circular cross section of Torus, calculated using the radius of circular section and the total surface area of Torus. Hole Radius of Torus is denoted by r_Hole symbol.

How to evaluate Hole Radius of Torus given Radius of Circular Section and Total Surface Area using this online evaluator? To use this online evaluator for Hole Radius of Torus given Radius of Circular Section and Total Surface Area, enter Total Surface Area of Torus (TSA) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button.

FAQs on Hole Radius of Torus given Radius of Circular Section and Total Surface Area

What is the formula to find Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

The formula of Hole Radius of Torus given Radius of Circular Section and Total Surface Area is expressed as Hole Radius of Torus = (Total Surface Area of Torus/(4*pi^2*Radius of Circular Section of Torus))-(Radius of Circular Section of Torus). Here is an example- 2.132118 = (3200/(4*pi^2*8))-(8).

How to calculate Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

With Total Surface Area of Torus (TSA) & Radius of Circular Section of Torus (r_{Circular Section}) we can find Hole Radius of Torus given Radius of Circular Section and Total Surface Area using the formula - Hole Radius of Torus = (Total Surface Area of Torus/(4*pi^2*Radius of Circular Section of Torus))-(Radius of Circular Section of Torus). This formula also uses Archimedes' constant .

What are the other ways to Calculate Hole Radius of Torus?

Here are the different ways to Calculate Hole Radius of Torus-

Hole Radius of Torus=Radius of Torus-Radius of Circular Section of Torus
Hole Radius of Torus=(Breadth of Torus/2)-(2*Radius of Circular Section of Torus)
Hole Radius of Torus=(Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2))-(Radius of Circular Section of Torus)

Can the Hole Radius of Torus given Radius of Circular Section and Total Surface Area be negative?

No, the Hole Radius of Torus given Radius of Circular Section and Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

Hole Radius of Torus given Radius of Circular Section and Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Hole Radius of Torus given Radius of Circular Section and Total Surface Area can be measured.

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Hole Radius of Torus given Radius of Circular Section and Total Surface Area Formula

​GoHole Radius of Torus Formula

​GoHole Radius of Torus given Radius of Circular Section and Breadth Formula

Hole Radius of Torus given Radius of Circular Section and Total Surface Area Example

Hole Radius of Torus given Radius of Circular Section and Total Surface Area Solution

Hole Radius of Torus given Radius of Circular Section and Total Surface Area Formula Elements

Other Formulas to find Hole Radius of Torus

How to Evaluate Hole Radius of Torus given Radius of Circular Section and Total Surface Area?

FAQs on Hole Radius of Torus given Radius of Circular Section and Total Surface Area

Variable Name

GoHole Radius of Torus Formula

GoHole Radius of Torus given Radius of Circular Section and Breadth Formula