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) = lInner Arc(Sector)/rInner
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) = lInner Arc(Sector)/rInner --> 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)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
Nikhil has created this Calculator and 400+ more calculators!
Verified by Dhruv Walia
Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
Dhruv Walia has verified this Calculator and 400+ more calculators!

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

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

Central Angle of Annulus Sector given Inner Arc Length Formula

Central Angle of Annulus Sector = Inner Arc Length of Annulus Sector/Inner Circle Radius of Annulus
Central(Sector) = lInner Arc(Sector)/rInner

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 (lInner Arc(Sector)) & Inner Circle Radius of Annulus (rInner) 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) = lInner Arc(Sector)/rInner 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 (lInner Arc(Sector)) & Inner Circle Radius of Annulus (rInner). 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 13 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)
  • 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 = Outer Arc Length of Annulus Sector/Outer Circle Radius of Annulus
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