Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector Calculator

✖Total Surface Area of Torus Sector is the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector.ⓘ Total Surface Area of Torus Sector [TSA_Sector]			+10% -10%
✖Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.ⓘ Lateral Surface Area of Torus Sector [LSA_Sector]			+10% -10%

✖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.ⓘ Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector [r_{Circular Section}]

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Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi))
r_{Circular Section} = sqrt((TSA_Sector-LSA_Sector)/(2*pi))
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Radius of Circular Section of Torus - (Measured in Meter) - 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.
Total Surface Area of Torus Sector - (Measured in Square Meter) - Total Surface Area of Torus Sector is the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector.
Lateral Surface Area of Torus Sector - (Measured in Square Meter) - Lateral Surface Area of Torus Sector is the total quantity of two-dimensional plane enclosed on the lateral curved surface of the Torus Sector.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Torus Sector: 670 Square Meter --> 670 Square Meter No Conversion Required
Lateral Surface Area of Torus Sector: 260 Square Meter --> 260 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

r_{Circular Section} = sqrt((TSA_Sector-LSA_Sector)/(2*pi)) --> sqrt((670-260)/(2*pi))

Evaluating ... ...

r_{Circular Section} = 8.07796550300118

STEP 3: Convert Result to Output's Unit

8.07796550300118 Meter --> No Conversion Required

FINAL ANSWER

8.07796550300118 ≈ 8.077966 Meter <-- Radius of Circular Section of Torus

(Calculation completed in 00.004 seconds)

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< Radius of Circular Section of Torus Calculators

Radius of Circular Section of Torus given Volume of Torus Sector

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

Radius of Circular Section of Torus given Lateral Surface Area of Torus Sector

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

Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector

LaTeX Go Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi))

Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector Formula

LaTeX Go

Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi))
r_{Circular Section} = sqrt((TSA_Sector-LSA_Sector)/(2*pi))

What is Torus Sector?

Torus Sector is a piece cut straight out of a torus. The size of the piece is determined by the angle of intersection originating at the center. An angle of 360° covers the whole torus.

What is Torus?

In geometry, a Torus 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.

How to Calculate Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector?

Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector calculator uses Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi)) to calculate the Radius of Circular Section of Torus, Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using lateral surface area and total surface area of Torus Sector. Radius of Circular Section of Torus is denoted by r_{Circular Section} symbol.

How to calculate Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector using this online calculator? To use this online calculator for Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector, enter Total Surface Area of Torus Sector (TSA_Sector) & Lateral Surface Area of Torus Sector (LSA_Sector) and hit the calculate button. Here is how the Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector calculation can be explained with given input values -> 8.077966 = sqrt((670-260)/(2*pi)).

FAQ

What is Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector?

Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using lateral surface area and total surface area of Torus Sector and is represented as r_{Circular Section} = sqrt((TSA_Sector-LSA_Sector)/(2*pi)) or Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi)). Total Surface Area of Torus Sector is the total quantity of two dimensional space enclosed on the entire surface of the 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.

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

Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector formula is defined as the line connecting the center of the circular cross section to any point on circumference of the circular cross section of Torus, calculated using lateral surface area and total surface area of Torus Sector is calculated using Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi)). To calculate Radius of Circular Section of Torus given Lateral and Total Surface Area of Torus Sector, you need Total Surface Area of Torus Sector (TSA_Sector) & Lateral Surface Area of Torus Sector (LSA_Sector). With our tool, you need to enter the respective value for Total Surface Area of Torus Sector & Lateral Surface Area of Torus Sector 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 Radius of Circular Section of Torus?

In this formula, Radius of Circular Section of Torus uses Total Surface Area of Torus Sector & Lateral Surface Area of Torus Sector. We can use 2 other way(s) to calculate the same, which is/are as follows -

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

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