Central Angle of Annulus Sector given Outer Arc Length and Breadth Calculator

✖Outer Arc Length of Annulus Sector is the distance between the two points along the outer curve of Annulus.ⓘ Outer Arc Length of Annulus Sector [l_{Outer Arc(Sector)}]			+10% -10%
✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Inner Circle Radius of Annulus [r_Inner]			+10% -10%
✖Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.ⓘ Breadth of Annulus [b]			+10% -10%

✖Central Angle of Annulus Sector is the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points.ⓘ Central Angle of Annulus Sector given Outer Arc Length and Breadth [∠_{Central(Sector)}]

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Formula

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Central Angle of Annulus Sector given Outer Arc Length and Breadth

Formula

`"∠"_{"Central(Sector)"} = "l"_{"Outer Arc(Sector)"}/("r"_{"Inner"}+"b")`

Example

`"28.64789°"="5m"/("6m"+"4m")`

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Central Angle of Annulus Sector given Outer Arc Length and Breadth Solution

STEP 0: Pre-Calculation Summary

Formula Used

Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus)
∠_{Central(Sector)} = l_{Outer Arc(Sector)}/(r_Inner+b)
This formula uses 4 Variables

Variables Used

Central Angle of Annulus Sector - (Measured in Radian) - Central Angle of Annulus Sector is the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points.
Outer Arc Length of Annulus Sector - (Measured in Meter) - Outer Arc Length of Annulus Sector is the distance between the two points along the outer curve of Annulus.
Inner Circle Radius of Annulus - (Measured in Meter) - Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.
Breadth of Annulus - (Measured in Meter) - Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.

STEP 1: Convert Input(s) to Base Unit

Outer Arc Length of Annulus Sector: 5 Meter --> 5 Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required
Breadth of Annulus: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_{Central(Sector)} = l_{Outer Arc(Sector)}/(r_Inner+b) --> 5/(6+4)

Evaluating ... ...

∠_{Central(Sector)} = 0.5

STEP 3: Convert Result to Output's Unit

0.5 Radian -->28.6478897565466 Degree (Check conversion here)

FINAL ANSWER

28.6478897565466 ≈ 28.64789 Degree <-- Central Angle of Annulus Sector

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 2D Geometry » Annulus » Sector of Annulus » Central Angle of Annulus Sector » Central Angle of Annulus Sector given Outer Arc Length and Breadth

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Created by Nikhil

Mumbai University (DJSCE), Mumbai

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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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< 13 Central Angle of Annulus Sector Calculators

Central Angle of Annulus Sector given Diagonal

Go Central Angle of Annulus Sector = acos((Outer Circle Radius of Annulus^2+Inner Circle Radius of Annulus^2-Diagonal of Annulus Sector^2)/(2*Outer Circle Radius of Annulus*Inner Circle Radius of Annulus))

Central Angle of Annulus Sector given Diagonal and Inner Circle Radius

Go Central Angle of Annulus Sector = acos(1-((Diagonal of Annulus Sector^2-Breadth of Annulus^2)/(2*Inner Circle Radius of Annulus*(Inner Circle Radius of Annulus+Breadth of Annulus))))

Central Angle of Annulus Sector given Diagonal and Outer Circle Radius

Go Central Angle of Annulus Sector = acos(1-((Diagonal of Annulus Sector^2-Breadth of Annulus^2)/(2*Outer Circle Radius of Annulus*(Outer Circle Radius of Annulus-Breadth of Annulus))))

Central Angle of Annulus Sector given Perimeter

Go Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*(Outer Circle Radius of Annulus-Inner Circle Radius of Annulus)))/(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)

Central Angle of Annulus Sector given Perimeter and Inner Circle Radius

Go Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Inner Circle Radius of Annulus)+Breadth of Annulus)

Central Angle of Annulus Sector given Perimeter and Outer Circle Radius

Go Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Outer Circle Radius of Annulus)-Breadth of Annulus)

Central Angle of Annulus Sector given Area and Outer Circle Radius

Go Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Outer Circle Radius of Annulus)-Breadth of Annulus))

Central Angle of Annulus Sector given Area and Inner Circle Radius

Go Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Inner Circle Radius of Annulus)+Breadth of Annulus))

Central Angle of Annulus Sector given Area

Go Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)

Central Angle of Annulus Sector given Outer Arc Length and Breadth

Go Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus)

Central Angle of Annulus Sector given Inner Arc Length and Breadth

Go Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/(Outer Circle Radius of Annulus-Breadth of Annulus)

Central Angle of Annulus Sector given Outer Arc Length

Go Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/Outer Circle Radius of Annulus

Central Angle of Annulus Sector given Inner Arc Length

Go Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus

Central Angle of Annulus Sector given Outer Arc Length and Breadth Formula

Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus)
∠_{Central(Sector)} = l_{Outer Arc(Sector)}/(r_Inner+b)

What is an Annulus Sector?

An Annulus Sector, also known as the circular ring sector, is a cut piece from an Annulus that is joined by two straight lines from its center.

What is Annulus?

In mathematics, an Annulus (plural Annuli or Annuluses) is the region between two concentric circles. Informally, it is shaped like a ring or a hardware washer. The word "annulus" is borrowed from the Latin word anulus or annulus meaning 'little ring'. The adjectival form is annular (as in annular eclipse).The area of an Annulus is the difference in the areas of the larger circle of radius R and the smaller one of radius r.

How to Calculate Central Angle of Annulus Sector given Outer Arc Length and Breadth?

Central Angle of Annulus Sector given Outer Arc Length and Breadth calculator uses Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus) to calculate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Outer Arc Length and Breadth formula is defined as the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points, calculated using outer arc length and breadth of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

How to calculate Central Angle of Annulus Sector given Outer Arc Length and Breadth using this online calculator? To use this online calculator for Central Angle of Annulus Sector given Outer Arc Length and Breadth, enter Outer Arc Length of Annulus Sector (l_{Outer Arc(Sector)}), Inner Circle Radius of Annulus (r_Inner) & Breadth of Annulus (b) and hit the calculate button. Here is how the Central Angle of Annulus Sector given Outer Arc Length and Breadth calculation can be explained with given input values -> 1641.403 = 5/(6+4).

FAQ

What is Central Angle of Annulus Sector given Outer Arc Length and Breadth?

The Central Angle of Annulus Sector given Outer Arc Length and Breadth formula is defined as the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points, calculated using outer arc length and breadth of Annulus Sector and is represented as ∠_{Central(Sector)} = l_{Outer Arc(Sector)}/(r_Inner+b) or Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus). Outer Arc Length of Annulus Sector is the distance between the two points along the outer curve of Annulus, Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles & Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.

How to calculate Central Angle of Annulus Sector given Outer Arc Length and Breadth?

The Central Angle of Annulus Sector given Outer Arc Length and Breadth formula is defined as the angle whose apex (vertex) is the center of the concentric circles of Annulus and whose legs (sides) are radii intersecting the circles in four distinct points, calculated using outer arc length and breadth of Annulus Sector is calculated using Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus). To calculate Central Angle of Annulus Sector given Outer Arc Length and Breadth, you need Outer Arc Length of Annulus Sector (l_{Outer Arc(Sector)}), Inner Circle Radius of Annulus (r_Inner) & Breadth of Annulus (b). With our tool, you need to enter the respective value for Outer Arc Length of Annulus Sector, Inner Circle Radius of Annulus & Breadth of Annulus 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 Central Angle of Annulus Sector?

In this formula, Central Angle of Annulus Sector uses Outer Arc Length of Annulus Sector, Inner Circle Radius of Annulus & Breadth of Annulus. We can use 12 other way(s) to calculate the same, which is/are as follows -

Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Outer Circle Radius of Annulus^2-Inner Circle Radius of Annulus^2)
Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/(Outer Circle Radius of Annulus-Breadth of Annulus)
Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*(Outer Circle Radius of Annulus-Inner Circle Radius of Annulus)))/(Outer Circle Radius of Annulus+Inner Circle Radius of Annulus)
Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Outer Circle Radius of Annulus)-Breadth of Annulus))
Central Angle of Annulus Sector = (2*Area of Annulus Sector)/(Breadth of Annulus*((2*Inner Circle Radius of Annulus)+Breadth of Annulus))
Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Inner Circle Radius of Annulus)+Breadth of Annulus)
Central Angle of Annulus Sector = (Perimeter of Annulus Sector-(2*Breadth of Annulus))/((2*Outer Circle Radius of Annulus)-Breadth of Annulus)
Central Angle of Annulus Sector = acos((Outer Circle Radius of Annulus^2+Inner Circle Radius of Annulus^2-Diagonal of Annulus Sector^2)/(2*Outer Circle Radius of Annulus*Inner Circle Radius of Annulus))
Central Angle of Annulus Sector = acos(1-((Diagonal of Annulus Sector^2-Breadth of Annulus^2)/(2*Inner Circle Radius of Annulus*(Inner Circle Radius of Annulus+Breadth of Annulus))))
Central Angle of Annulus Sector = acos(1-((Diagonal of Annulus Sector^2-Breadth of Annulus^2)/(2*Outer Circle Radius of Annulus*(Outer Circle Radius of Annulus-Breadth of Annulus))))
Central Angle of Annulus Sector = Outer Arc Length of Annulus Sector/Outer Circle Radius of Annulus
Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus

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