Central Angle of Annulus Sector given Inner Arc Length Calculator

✖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)}]			+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%

✖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 Inner Arc Length [∠_{Central(Sector)}]

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Central Angle of Annulus Sector given Inner Arc Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

STEP 1: Convert Input(s) to Base Unit

Inner Arc Length of Annulus Sector: 3 Meter --> 3 Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

∠_{Central(Sector)} = l_{Inner Arc(Sector)}/r_Inner --> 3/6

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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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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< Central Angle of Annulus Sector Calculators

Central Angle of Annulus Sector given Perimeter

LaTeX 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 Area

LaTeX 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

LaTeX 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

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

< Annulus Sector Calculators

Diagonal of Annulus Sector

LaTeX 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

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

Central Angle of Annulus Sector given Inner Arc Length

LaTeX 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

LaTeX 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 Formula

LaTeX Go

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

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 Inner Arc Length?

Central Angle of Annulus Sector given Inner Arc Length calculator uses Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus to calculate the Central Angle of Annulus Sector, The Central Angle of Annulus Sector given Inner Arc Length 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 inner arc length of Annulus Sector. Central Angle of Annulus Sector is denoted by ∠_{Central(Sector)} symbol.

How to calculate Central Angle of Annulus Sector given Inner Arc Length using this online calculator? To use this online calculator for Central Angle of Annulus Sector given Inner Arc Length, enter Inner Arc Length of Annulus Sector (l_{Inner Arc(Sector)}) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button. Here is how the Central Angle of Annulus Sector given Inner Arc Length calculation can be explained with given input values -> 1641.403 = 3/6.

FAQ

What is Central Angle of Annulus Sector given Inner Arc Length?

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

How to calculate Central Angle of Annulus Sector given Inner Arc Length?

The Central Angle of Annulus Sector given Inner Arc Length 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 inner arc length of Annulus Sector is calculated using Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus. To calculate Central Angle of Annulus Sector given Inner Arc Length, you need Inner Arc Length of Annulus Sector (l_{Inner Arc(Sector)}) & Inner Circle Radius of Annulus (r_Inner). With our tool, you need to enter the respective value for Inner Arc Length of Annulus Sector & Inner Circle Radius 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 Inner Arc Length of Annulus Sector & Inner Circle Radius of Annulus. We can use 3 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 = Outer Arc Length of Annulus Sector/(Inner Circle Radius of Annulus+Breadth of Annulus)
Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/(Outer Circle Radius of Annulus-Breadth of Annulus)

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