Total Surface Area of Torus Sector Calculator

✖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 [r_{Circular Section}]			+10% -10%

✖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]

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Total Surface Area of Torus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))
TSA_Sector = (LSA_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

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.
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

Lateral Surface Area of Torus Sector: 260 Square Meter --> 260 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

TSA_Sector = (LSA_Sector+(2*pi*(r_{Circular Section}^2))) --> (260+(2*pi*(8^2)))

Evaluating ... ...

TSA_Sector = 662.123859659494

STEP 3: Convert Result to Output's Unit

662.123859659494 Square Meter --> No Conversion Required

FINAL ANSWER

662.123859659494 ≈ 662.1239 Square Meter <-- Total Surface Area of Torus Sector

(Calculation completed in 00.004 seconds)

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< Total Surface Area of Torus Sector Calculators

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

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

Total Surface Area of Torus Sector

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

< Torus Sector Calculators

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

Lateral Surface Area of Torus Sector

LaTeX 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)))

Total Surface Area of Torus Sector

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

Lateral Surface Area of Torus Sector given Volume

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

Total Surface Area of Torus Sector Formula

LaTeX Go

Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))
TSA_Sector = (LSA_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 Total Surface Area of Torus Sector?

Total Surface Area of Torus Sector calculator uses Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2))) to calculate the Total Surface Area of Torus Sector, Total Surface Area of Torus Sector formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Torus Sector. Total Surface Area of Torus Sector is denoted by TSA_Sector symbol.

How to calculate Total Surface Area of Torus Sector using this online calculator? To use this online calculator for Total Surface Area of Torus Sector, enter Lateral Surface Area of Torus Sector (LSA_Sector) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button. Here is how the Total Surface Area of Torus Sector calculation can be explained with given input values -> 662.1239 = (260+(2*pi*(8^2))).

FAQ

What is Total Surface Area of Torus Sector?

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

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

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

Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^2)))
Total Surface Area of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*((Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Angle of Intersection of Torus Sector/(2*pi))))^2)))

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