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Inner arc length of Annulus Sector given outer circle radius and side length Solution

STEP 0: Pre-Calculation Summary
Formula Used
inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi)
Linner_arc = (2*(router-Lside)*pi*ϑ)/(2*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Outer radius - Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary. (Measured in Meter)
Side length - Side length is the distance between the inner arc and the outer arc of Annulus Sector. (Measured in Meter)
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
STEP 1: Convert Input(s) to Base Unit
Outer radius: 10 Meter --> 10 Meter No Conversion Required
Side length: 5 Meter --> 5 Meter No Conversion Required
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Linner_arc = (2*(router-Lside)*pi*ϑ)/(2*pi) --> (2*(10-5)*pi*0.5235987755982)/(2*pi)
Evaluating ... ...
Linner_arc = 2.617993877991
STEP 3: Convert Result to Output's Unit
2.617993877991 Meter --> No Conversion Required
FINAL ANSWER
2.617993877991 Meter <-- Inner arc length
(Calculation completed in 00.000 seconds)

10+ Annulus Sector Calculators

Diagonal of Annulus Sector
diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta)) Go
Inner arc length of Annulus Sector given outer circle radius and side length
inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi) Go
Outer arc length of Annuls Sector given inner circle radius and side length
outer_arc_length = (2*(Inner radius+Side length)*pi*Theta)/(2*pi) Go
Area of Annulus Sector
area = ((Outer radius^2-Inner radius^2)*pi*Theta)/(2*pi) Go
Inner arc length of Annulus Sector
inner_arc_length = (2*Inner radius*pi*Theta)/(2*pi) Go
Outer arc length of Annuls Sector
outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi) Go
Perimeter of Annulus Sector
perimeter = Outer arc length+Inner arc length+(2*Side length) Go
Radius of outer circle of Annulus Sector
outer_radius = Inner radius+Side length Go
Radius of inner circle of Annulus Sector
inner_radius = Outer radius-Side length Go
Side length of Annulus Sector
side_length = Outer radius-Inner radius Go

Inner arc length of Annulus Sector given outer circle radius and side length Formula

inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi)
Linner_arc = (2*(router-Lside)*pi*ϑ)/(2*pi)

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.

How to Calculate Inner arc length of Annulus Sector given outer circle radius and side length?

Inner arc length of Annulus Sector given outer circle radius and side length calculator uses inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi) to calculate the Inner arc length, The Inner arc length of Annulus Sector given outer circle radius and side length formula is defined as the distance between two points along the inner arc of the Annulus Sector. Inner arc length is denoted by Linner_arc symbol.

How to calculate Inner arc length of Annulus Sector given outer circle radius and side length using this online calculator? To use this online calculator for Inner arc length of Annulus Sector given outer circle radius and side length, enter Outer radius (router), Side length (Lside) & Theta (ϑ) and hit the calculate button. Here is how the Inner arc length of Annulus Sector given outer circle radius and side length calculation can be explained with given input values -> 2.617994 = (2*(10-5)*pi*0.5235987755982)/(2*pi).

FAQ

What is Inner arc length of Annulus Sector given outer circle radius and side length?
The Inner arc length of Annulus Sector given outer circle radius and side length formula is defined as the distance between two points along the inner arc of the Annulus Sector and is represented as Linner_arc = (2*(router-Lside)*pi*ϑ)/(2*pi) or inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi). Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary, Side length is the distance between the inner arc and the outer arc of Annulus Sector & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Inner arc length of Annulus Sector given outer circle radius and side length?
The Inner arc length of Annulus Sector given outer circle radius and side length formula is defined as the distance between two points along the inner arc of the Annulus Sector is calculated using inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi). To calculate Inner arc length of Annulus Sector given outer circle radius and side length, you need Outer radius (router), Side length (Lside) & Theta (ϑ). With our tool, you need to enter the respective value for Outer radius, Side length & Theta 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?
In this formula, Inner arc length uses Outer radius, Side length & Theta. We can use 10 other way(s) to calculate the same, which is/are as follows -
  • outer_radius = Inner radius+Side length
  • outer_arc_length = (2*Outer radius*pi*Theta)/(2*pi)
  • inner_arc_length = (2*Inner radius*pi*Theta)/(2*pi)
  • diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta))
  • perimeter = Outer arc length+Inner arc length+(2*Side length)
  • area = ((Outer radius^2-Inner radius^2)*pi*Theta)/(2*pi)
  • inner_radius = Outer radius-Side length
  • side_length = Outer radius-Inner radius
  • outer_arc_length = (2*(Inner radius+Side length)*pi*Theta)/(2*pi)
  • inner_arc_length = (2*(Outer radius-Side length)*pi*Theta)/(2*pi)
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