Inner Arc Length of Annulus Sector Calculator

✖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%
✖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 [∠_{Central(Sector)}]			+10% -10%

✖Inner Arc Length of Annulus Sector is the distance between the two points along the inner curve of Annulus.ⓘ Inner Arc Length of Annulus Sector [l_{Inner Arc(Sector)}]

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Formula

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Inner Arc Length of Annulus Sector

Formula

`"l"_{"Inner Arc(Sector)"} = "r"_{"Inner"}*"∠"_{"Central(Sector)"}`

Example

`"3.141593m"="6m"*"30°"`

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Inner Arc Length of Annulus Sector Solution

STEP 0: Pre-Calculation Summary

Formula Used

Inner Arc Length of Annulus Sector = Inner Circle Radius of Annulus*Central Angle of Annulus Sector
l_{Inner Arc(Sector)} = r_Inner*∠_{Central(Sector)}
This formula uses 3 Variables

Variables Used

Inner Arc Length of Annulus Sector - (Measured in Meter) - Inner Arc Length of Annulus Sector is the distance between the two points along the inner 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.
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.

STEP 1: Convert Input(s) to Base Unit

Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required
Central Angle of Annulus Sector: 30 Degree --> 0.5235987755982 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_{Inner Arc(Sector)} = r_Inner*∠_{Central(Sector)} --> 6*0.5235987755982

Evaluating ... ...

l_{Inner Arc(Sector)} = 3.1415926535892

STEP 3: Convert Result to Output's Unit

3.1415926535892 Meter --> No Conversion Required

FINAL ANSWER

3.1415926535892 ≈ 3.141593 Meter <-- Inner Arc Length of Annulus Sector

(Calculation completed in 00.004 seconds)

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Created by Prachi

Kamala Nehru College, University of Delhi (KNC), New Delhi

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Walchand College of Engineering (WCE), Sangli

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< 2 Inner Arc Length of Annulus Sector Calculators

Inner Arc Length of Annulus Sector given Outer Circle Radius and Breadth of Annulus

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

Inner Arc Length of Annulus Sector

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

< 7 Annulus Sector Calculators

Diagonal of Annulus Sector

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

Area of Annulus Sector

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

Perimeter of Annulus Sector

Go Perimeter of Annulus Sector = Outer Arc Length of Annulus Sector+Inner Arc Length of Annulus Sector+(2*Breadth 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

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

Inner Arc Length of Annulus Sector

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

Outer Arc Length of Annulus Sector

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

Inner Arc Length of Annulus Sector Formula

Inner Arc Length of Annulus Sector = Inner Circle Radius of Annulus*Central Angle of Annulus Sector
l_{Inner Arc(Sector)} = r_Inner*∠_{Central(Sector)}

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 Inner Arc Length of Annulus Sector?

Inner Arc Length of Annulus Sector calculator uses Inner Arc Length of Annulus Sector = Inner Circle Radius of Annulus*Central Angle of Annulus Sector to calculate the Inner Arc Length of Annulus Sector, The Inner Arc Length of Annulus Sector formula is defined as the distance between two points along the inner arc of the Annulus Sector. Inner Arc Length of Annulus Sector is denoted by l_{Inner Arc(Sector)} symbol.

How to calculate Inner Arc Length of Annulus Sector using this online calculator? To use this online calculator for Inner Arc Length of Annulus Sector, enter Inner Circle Radius of Annulus (r_Inner) & Central Angle of Annulus Sector (∠_{Central(Sector)}) and hit the calculate button. Here is how the Inner Arc Length of Annulus Sector calculation can be explained with given input values -> 3.141593 = 6*0.5235987755982.

FAQ

What is Inner Arc Length of Annulus Sector?

The Inner Arc Length of Annulus Sector formula is defined as the distance between two points along the inner arc of the Annulus Sector and is represented as l_{Inner Arc(Sector)} = r_Inner*∠_{Central(Sector)} or Inner Arc Length of Annulus Sector = Inner Circle Radius of Annulus*Central Angle of Annulus Sector. Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles & 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.

How to calculate Inner Arc Length of Annulus Sector?

The Inner Arc Length of Annulus Sector formula is defined as the distance between two points along the inner arc of the Annulus Sector is calculated using Inner Arc Length of Annulus Sector = Inner Circle Radius of Annulus*Central Angle of Annulus Sector. To calculate Inner Arc Length of Annulus Sector, you need Inner Circle Radius of Annulus (r_Inner) & Central Angle of Annulus Sector (∠_{Central(Sector)}). With our tool, you need to enter the respective value for Inner Circle Radius of Annulus & Central Angle of Annulus Sector 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 Inner Arc Length of Annulus Sector?

In this formula, Inner Arc Length of Annulus Sector uses Inner Circle Radius of Annulus & Central Angle of Annulus Sector. We can use 1 other way(s) to calculate the same, which is/are as follows -

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

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