Lateral Surface Area of Torus Sector given Total Surface Area 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%
✖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 [r_{Circular Section}]			+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 given Total Surface Area [LSA_Sector]

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Formula

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Lateral Surface Area of Torus Sector given Total Surface Area

Formula

`"LSA"_{"Sector"} = ("TSA"_{"Sector"}-(2*pi*("r"_{"Circular Section"}^2)))`

Example

`"267.8761m²"=("670m²"-(2*pi*(("8m")^2)))`

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Lateral Surface Area of Torus Sector given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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.
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.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Torus Sector: 670 Square Meter --> 670 Square Meter No Conversion Required
Radius of Circular Section of Torus: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

LSA_Sector = (TSA_Sector-(2*pi*(r_{Circular Section}^2))) --> (670-(2*pi*(8^2)))

Evaluating ... ...

LSA_Sector = 267.876140340506

STEP 3: Convert Result to Output's Unit

267.876140340506 Square Meter --> No Conversion Required

FINAL ANSWER

267.876140340506 ≈ 267.8761 Square Meter <-- Lateral Surface Area of Torus Sector

(Calculation completed in 00.005 seconds)

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< 5 Lateral Surface Area of Torus Sector Calculators

Lateral Surface Area of Torus Sector given Volume and Major Radius

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

Lateral Surface Area of Torus Sector given Volume and Radius

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

Lateral Surface Area of Torus Sector

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

Lateral Surface Area of Torus Sector given Total Surface Area

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

Lateral Surface Area of Torus Sector given Volume

Go Lateral Surface Area of Torus Sector = 2*(Volume of Torus Sector/(Radius of Circular Section of Torus))

Lateral Surface Area of Torus Sector given Total Surface Area Formula

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

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 Lateral Surface Area of Torus Sector given Total Surface Area?

Lateral Surface Area of Torus Sector given Total Surface Area calculator uses Lateral Surface Area of Torus Sector = (Total Surface Area of Torus Sector-(2*pi*(Radius of Circular Section of Torus^2))) to calculate the Lateral Surface Area of Torus Sector, Lateral Surface Area of Torus Sector given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of the Torus, calculated using total surface area of Torus Sector. Lateral Surface Area of Torus Sector is denoted by LSA_Sector symbol.

How to calculate Lateral Surface Area of Torus Sector given Total Surface Area using this online calculator? To use this online calculator for Lateral Surface Area of Torus Sector given Total Surface Area, enter Total Surface Area of Torus Sector (TSA_Sector) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button. Here is how the Lateral Surface Area of Torus Sector given Total Surface Area calculation can be explained with given input values -> 267.8761 = (670-(2*pi*(8^2))).

FAQ

What is Lateral Surface Area of Torus Sector given Total Surface Area?

Lateral Surface Area of Torus Sector given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of the Torus, calculated using total surface area of Torus Sector and is represented as LSA_Sector = (TSA_Sector-(2*pi*(r_{Circular Section}^2))) or Lateral Surface Area of Torus Sector = (Total Surface Area of Torus Sector-(2*pi*(Radius of Circular Section of Torus^2))). Total Surface Area of Torus Sector is the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector & 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.

How to calculate Lateral Surface Area of Torus Sector given Total Surface Area?

Lateral Surface Area of Torus Sector given Total Surface Area formula is defined as the total quantity of two dimensional plane enclosed on the lateral curved surface of the Torus, calculated using total surface area of Torus Sector is calculated using Lateral Surface Area of Torus Sector = (Total Surface Area of Torus Sector-(2*pi*(Radius of Circular Section of Torus^2))). To calculate Lateral Surface Area of Torus Sector given Total Surface Area, you need Total Surface Area of Torus Sector (TSA_Sector) & Radius of Circular Section of Torus (r_{Circular Section}). With our tool, you need to enter the respective value for Total Surface Area of Torus Sector & Radius of Circular Section 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 Lateral Surface Area of Torus Sector?

In this formula, Lateral Surface Area of Torus Sector uses Total Surface Area of Torus Sector & Radius of Circular Section of Torus. We can use 4 other way(s) to calculate the same, which is/are as follows -

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

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