Angle of Intersection 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 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%
✖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%

✖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]

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Angle of Intersection of Torus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi)
∠_Intersection = (LSA_Sector/(4*(pi^2)*(r)*(r_{Circular Section})))*(2*pi)
This formula uses 1 Constants, 4 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

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.
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 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.
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 Torus: 10 Meter --> 10 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

∠_Intersection = (LSA_Sector/(4*(pi^2)*(r)*(r_{Circular Section})))*(2*pi) --> (260/(4*(pi^2)*(10)*(8)))*(2*pi)

Evaluating ... ...

∠_Intersection = 0.51725356504866

STEP 3: Convert Result to Output's Unit

0.51725356504866 Radian -->29.6364462153894 Degree (Check conversion here)

FINAL ANSWER

29.6364462153894 ≈ 29.63645 Degree <-- Angle of Intersection of Torus Sector

(Calculation completed in 00.024 seconds)

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< Angle of Intersection of Torus Sector Calculators

Angle of Intersection of Torus Sector

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

Angle of Intersection of Torus Sector given Volume

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

Angle of Intersection of Torus Sector Formula

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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 Angle of Intersection of Torus Sector?

Angle of Intersection of Torus Sector calculator uses Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi) to calculate the Angle of Intersection of Torus Sector, Angle of Intersection of Torus Sector formula is defined as 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 is denoted by ∠_Intersection symbol.

How to calculate Angle of Intersection of Torus Sector using this online calculator? To use this online calculator for Angle of Intersection of Torus Sector, enter Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Torus (r) & Radius of Circular Section of Torus (r_{Circular Section}) and hit the calculate button. Here is how the Angle of Intersection of Torus Sector calculation can be explained with given input values -> 1698.043 = (260/(4*(pi^2)*(10)*(8)))*(2*pi).

FAQ

What is Angle of Intersection of Torus Sector?

Angle of Intersection of Torus Sector formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained and is represented as ∠_Intersection = (LSA_Sector/(4*(pi^2)*(r)*(r_{Circular Section})))*(2*pi) or Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(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 Torus is the line connecting the center of the overall Torus to the center of a circular cross-section of the Torus & 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 Angle of Intersection of Torus Sector?

Angle of Intersection of Torus Sector formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained is calculated using Angle of Intersection of Torus Sector = (Lateral Surface Area of Torus Sector/(4*(pi^2)*(Radius of Torus)*(Radius of Circular Section of Torus)))*(2*pi). To calculate Angle of Intersection of Torus Sector, you need Lateral Surface Area of Torus Sector (LSA_Sector), Radius of Torus (r) & 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 Torus & 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 Angle of Intersection of Torus Sector?

In this formula, Angle of Intersection of Torus Sector uses Lateral Surface Area of Torus Sector, Radius of Torus & Radius of Circular Section of Torus. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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