Total Surface Area of Torus given Radius and Hole Radius Calculator

✖Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.ⓘ Radius of Torus [r]			+10% -10%
✖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.ⓘ Hole Radius of Torus [r_Hole]			+10% -10%

✖Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.ⓘ Total Surface Area of Torus given Radius and Hole Radius [TSA]

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Total Surface Area of Torus given Radius and Hole Radius

Formula

`"TSA" = (4*(pi^2)*("r")*("r"-"r"_{"Hole"}))`

Example

`"3158.273m²"=(4*(pi^2)*("10m")*("10m"-"2m"))`

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Total Surface Area of Torus given Radius and Hole Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))
TSA = (4*(pi^2)*(r)*(r-r_Hole))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Total Surface Area of Torus - (Measured in Square Meter) - Total Surface Area of Torus is the total quantity of two dimensional space enclosed on the entire surface of the Torus.
Radius of Torus - (Measured in Meter) - Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus.
Hole Radius of Torus - (Measured in Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Hole Radius of Torus: 2 Meter --> 2 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (4*(pi^2)*(r)*(r-r_Hole)) --> (4*(pi^2)*(10)*(10-2))

Evaluating ... ...

TSA = 3158.27340834859

STEP 3: Convert Result to Output's Unit

3158.27340834859 Square Meter --> No Conversion Required

FINAL ANSWER

3158.27340834859 ≈ 3158.273 Square Meter <-- Total Surface Area of Torus

(Calculation completed in 00.004 seconds)

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Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 8 Total Surface Area of Torus Calculators

Total Surface Area of Torus given Radius of Circular Section and Volume

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*(Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)))

Total Surface Area of Torus given Radius of Circular Section and Breadth

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*((Breadth of Torus/2)-Radius of Circular Section of Torus))

Total Surface Area of Torus given Radius and Volume

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

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

Go Total Surface Area of Torus = 4*(pi^2)*(Radius of Circular Section of Torus)*(Hole Radius of Torus+Radius of Circular Section of Torus)

Total Surface Area of Torus given Radius and Hole Radius

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))

Total Surface Area of Torus given Radius and Breadth

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*((Breadth of Torus/2)-Radius of Torus))

Total Surface Area of Torus given Radius and Surface to Volume Ratio

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(2/Surface to Volume Ratio of Torus))

Total Surface Area of Torus

Go Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus

< 4 Total Surface Area of Torus Calculators

Total Surface Area of Torus given Radius and Volume

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

Total Surface Area of Torus given Radius and Hole Radius

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))

Total Surface Area of Torus given Radius and Breadth

Go Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*((Breadth of Torus/2)-Radius of Torus))

Total Surface Area of Torus

Go Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus

Total Surface Area of Torus given Radius and Hole Radius Formula

Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus))
TSA = (4*(pi^2)*(r)*(r-r_Hole))

What is Torus?

In geometry, a Torus (plural tori) is a surface of revolution generated by revolving a circle in three-dimensional space about an axis that is coplanar with the circle.

If the axis of revolution does not touch the circle, the surface has a ring shape and is called a torus of revolution. If the axis of revolution is tangent to the circle, the surface is a horn torus. If the axis of revolution passes twice through the circle, the surface is a spindle torus. If the axis of revolution passes through the center of the circle, the surface is a degenerate torus, a double-covered sphere. If the revolved curve is not a circle, the surface is a related shape, a toroid.

How to Calculate Total Surface Area of Torus given Radius and Hole Radius?

Total Surface Area of Torus given Radius and Hole Radius calculator uses Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus)) to calculate the Total Surface Area of Torus, Total Surface Area of Torus given Radius and Hole Radius formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using the radius and hole radius of Torus. Total Surface Area of Torus is denoted by TSA symbol.

How to calculate Total Surface Area of Torus given Radius and Hole Radius using this online calculator? To use this online calculator for Total Surface Area of Torus given Radius and Hole Radius, enter Radius of Torus (r) & Hole Radius of Torus (r_Hole) and hit the calculate button. Here is how the Total Surface Area of Torus given Radius and Hole Radius calculation can be explained with given input values -> 3158.273 = (4*(pi^2)*(10)*(10-2)).

FAQ

What is Total Surface Area of Torus given Radius and Hole Radius?

Total Surface Area of Torus given Radius and Hole Radius formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using the radius and hole radius of Torus and is represented as TSA = (4*(pi^2)*(r)*(r-r_Hole)) or Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole 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 & 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.

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

Total Surface Area of Torus given Radius and Hole Radius formula is defined as the total quantity of two-dimensional space enclosed on the entire surface of the Torus, calculated using the radius and hole radius of Torus is calculated using Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(Radius of Torus-Hole Radius of Torus)). To calculate Total Surface Area of Torus given Radius and Hole Radius, you need Radius of Torus (r) & Hole Radius of Torus (r_Hole). With our tool, you need to enter the respective value for Radius of Torus & Hole Radius of Torus and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Total Surface Area of Torus?

In this formula, Total Surface Area of Torus uses Radius of Torus & Hole Radius of Torus. We can use 10 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus
Total Surface Area of Torus = 4*(pi^2)*(Radius of Circular Section of Torus)*(Hole Radius of Torus+Radius of Circular Section of Torus)
Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*((Breadth of Torus/2)-Radius of Circular Section of Torus))
Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*((Breadth of Torus/2)-Radius of Torus))
Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))
Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(2/Surface to Volume Ratio of Torus))
Total Surface Area of Torus = (4*(pi^2)*(Radius of Circular Section of Torus)*(Volume of Torus/(2*pi^2*Radius of Circular Section of Torus^2)))
Total Surface Area of Torus = 4*(pi^2)*Radius of Torus*Radius of Circular Section of Torus
Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*((Breadth of Torus/2)-Radius of Torus))
Total Surface Area of Torus = (4*(pi^2)*(Radius of Torus)*(sqrt(Volume of Torus/(2*pi^2*Radius of Torus))))

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