Angle of Intersection of Torus Sector given Volume Calculator

✖Volume of Torus Sector is the amount of three dimensional space occupied by Torus Sector.ⓘ Volume of Torus Sector [V_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 given Volume [∠_Intersection]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Torus Formula PDF PDF Image

Angle of Intersection of Torus Sector given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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)
∠_Intersection = (V_Sector/(2*(pi^2)*(r)*(r_{Circular Section}^2)))*(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.
Volume of Torus Sector - (Measured in Cubic Meter) - Volume of Torus Sector is the amount of three dimensional space occupied by 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

Volume of Torus Sector: 1050 Cubic Meter --> 1050 Cubic 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 = (V_Sector/(2*(pi^2)*(r)*(r_{Circular Section}^2)))*(2*pi) --> (1050/(2*(pi^2)*(10)*(8^2)))*(2*pi)

Evaluating ... ...

∠_Intersection = 0.522227157020282

STEP 3: Convert Result to Output's Unit

0.522227157020282 Radian -->29.9214120443835 Degree (Check conversion here)

FINAL ANSWER

29.9214120443835 ≈ 29.92141 Degree <-- Angle of Intersection of Torus Sector

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Torus » Torus Sector » Angle of Intersection of Torus Sector » Angle of Intersection of Torus Sector given Volume

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!

< 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 given Volume 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 Angle of Intersection of Torus Sector given Volume?

Angle of Intersection of Torus Sector given Volume calculator uses 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) to calculate the Angle of Intersection of Torus Sector, Angle of Intersection of Torus Sector given Volume formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained, calculated using volume of Torus Sector. Angle of Intersection of Torus Sector is denoted by ∠_Intersection symbol.

How to calculate Angle of Intersection of Torus Sector given Volume using this online calculator? To use this online calculator for Angle of Intersection of Torus Sector given Volume, enter Volume of Torus Sector (V_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 given Volume calculation can be explained with given input values -> 1714.371 = (1050/(2*(pi^2)*(10)*(8^2)))*(2*pi).

FAQ

What is Angle of Intersection of Torus Sector given Volume?

Angle of Intersection of Torus Sector given Volume formula is defined as the angle subtended by the planes in which each of the circular end faces of the Torus Sector is contained, calculated using volume of Torus Sector and is represented as ∠_Intersection = (V_Sector/(2*(pi^2)*(r)*(r_{Circular Section}^2)))*(2*pi) or 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). Volume of Torus Sector is the amount of three dimensional space occupied by 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 given Volume?

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

Home

FREE PDFs

🔍 Search