Surface to Volume Ratio 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%
✖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%
✖Angle of Intersection of Torus Sector is the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained.ⓘ Angle of Intersection of Torus Sector [∠_Intersection]			+10% -10%

✖Surface to Volume Ratio of Torus Sector is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector.ⓘ Surface to Volume Ratio of Torus Sector [R_A/V(Sector)]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Torus Formula PDF PDF Image

Surface to Volume Ratio of Torus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi)))
R_A/V(Sector) = (LSA_Sector+(2*pi*(r_{Circular Section}^2)))/(2*(pi^2)*(r)*(r_{Circular Section}^2)*(∠_Intersection/(2*pi)))
This formula uses 1 Constants, 5 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Surface to Volume Ratio of Torus Sector - (Measured in 1 per Meter) - Surface to Volume Ratio of Torus Sector is defined as the numerical ratio of the total surface area of the Torus Sector to the volume 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.
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.
Angle of Intersection of Torus Sector - (Measured in Radian) - Angle of Intersection of Torus Sector is the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained.

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
Radius of Torus: 10 Meter --> 10 Meter No Conversion Required
Angle of Intersection of Torus Sector: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V(Sector) = (LSA_Sector+(2*pi*(r_{Circular Section}^2)))/(2*(pi^2)*(r)*(r_{Circular Section}^2)*(∠_Intersection/(2*pi))) --> (260+(2*pi*(8^2)))/(2*(pi^2)*(10)*(8^2)*(0.5235987755982/(2*pi)))

Evaluating ... ...

R_A/V(Sector) = 0.628942248548866

STEP 3: Convert Result to Output's Unit

0.628942248548866 1 per Meter --> No Conversion Required

FINAL ANSWER

0.628942248548866 ≈ 0.628942 1 per Meter <-- Surface to Volume Ratio of Torus Sector

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Torus » Torus Sector » Surface to Volume Ratio of Torus Sector » Surface to Volume Ratio of Torus Sector

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Surface to Volume Ratio of Torus Sector Calculators

Surface to Volume Ratio of Torus Sector

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

Surface to Volume Ratio of Torus Sector Formula

LaTeX Go

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 Surface to Volume Ratio of Torus Sector?

Surface to Volume Ratio of Torus Sector calculator uses Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))) to calculate the Surface to Volume Ratio of Torus Sector, Surface to Volume Ratio of Torus Sector formula is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector. Surface to Volume Ratio of Torus Sector is denoted by R_A/V(Sector) symbol.

How to calculate Surface to Volume Ratio of Torus Sector using this online calculator? To use this online calculator for Surface to Volume Ratio of Torus Sector, enter Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Circular Section of Torus (r_{Circular Section}), Radius of Torus (r) & Angle of Intersection of Torus Sector (∠_Intersection) and hit the calculate button. Here is how the Surface to Volume Ratio of Torus Sector calculation can be explained with given input values -> 0.628942 = (260+(2*pi*(8^2)))/(2*(pi^2)*(10)*(8^2)*(0.5235987755982/(2*pi))).

FAQ

What is Surface to Volume Ratio of Torus Sector?

Surface to Volume Ratio of Torus Sector formula is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector and is represented as R_A/V(Sector) = (LSA_Sector+(2*pi*(r_{Circular Section}^2)))/(2*(pi^2)*(r)*(r_{Circular Section}^2)*(∠_Intersection/(2*pi))) or Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))). 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, Radius of Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus & Angle of Intersection of Torus Sector is the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained.

How to calculate Surface to Volume Ratio of Torus Sector?

Surface to Volume Ratio of Torus Sector formula is defined as the numerical ratio of the total surface area of the Torus Sector to the volume of the Torus Sector is calculated using Surface to Volume Ratio of Torus Sector = (Lateral Surface Area of Torus Sector+(2*pi*(Radius of Circular Section of Torus^2)))/(2*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus^2)*(Angle of Intersection of Torus Sector/(2*pi))). To calculate Surface to Volume Ratio of Torus Sector, you need Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Circular Section of Torus (r_{Circular Section}), Radius of Torus (r) & Angle of Intersection of Torus Sector (∠_Intersection). With our tool, you need to enter the respective value for Lateral Surface Area of Torus Sector, Radius of Circular Section of Torus, Radius of Torus & Angle of Intersection of Torus Sector and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

Home

FREE PDFs

🔍 Search