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))
rCircular Section = sqrt((TSASector-LSASector)/(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
rCircular Section = sqrt((TSASector-LSASector)/(2*pi)) --> sqrt((670-260)/(2*pi))
Evaluating ... ...
rCircular 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 00.020 seconds)

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Walchand College of Engineering (WCE), Sangli
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3 Radius of Circular Section of Torus Calculators

Radius of Circular Section of Torus given Volume of Torus Sector
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
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
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

Radius of Circular Section of Torus = sqrt((Total Surface Area of Torus Sector-Lateral Surface Area of Torus Sector)/(2*pi))
rCircular Section = sqrt((TSASector-LSASector)/(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 rCircular 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 (TSASector) & Lateral Surface Area of Torus Sector (LSASector) 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 rCircular Section = sqrt((TSASector-LSASector)/(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 (TSASector) & Lateral Surface Area of Torus Sector (LSASector). 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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