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Perimeter of Annulus Sector given inner, outer circle radius and side length Solution

STEP 0: Pre-Calculation Summary
Formula Used
perimeter = ((2*pi*Theta*(Outer radius+Inner radius))/2*pi)+(2*Side length)
P = ((2*pi*ϑ*(router+rinner))/2*pi)+(2*Lside)
This formula uses 1 Constants, 4 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Theta - Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint. (Measured in Degree)
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)
Inner radius - Inner radius of any figure is the radius of its cavity and it is the smaller radius among two concentric circles. (Measured in Meter)
Side length - Side length is the distance between the inner arc and the outer arc of Annulus Sector. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Theta: 30 Degree --> 0.5235987755982 Radian (Check conversion here)
Outer radius: 10 Meter --> 10 Meter No Conversion Required
Inner radius: 5 Meter --> 5 Meter No Conversion Required
Side length: 5 Meter --> 5 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
P = ((2*pi*ϑ*(router+rinner))/2*pi)+(2*Lside) --> ((2*pi*0.5235987755982*(10+5))/2*pi)+(2*5)
Evaluating ... ...
P = 87.5156917007349
STEP 3: Convert Result to Output's Unit
87.5156917007349 Meter --> No Conversion Required
FINAL ANSWER
87.5156917007349 Meter <-- Perimeter
(Calculation completed in 00.016 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

Perimeter of Annulus Sector given inner, outer circle radius and side length Formula

perimeter = ((2*pi*Theta*(Outer radius+Inner radius))/2*pi)+(2*Side length)
P = ((2*pi*ϑ*(router+rinner))/2*pi)+(2*Lside)

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 Perimeter of Annulus Sector given inner, outer circle radius and side length?

Perimeter of Annulus Sector given inner, outer circle radius and side length calculator uses perimeter = ((2*pi*Theta*(Outer radius+Inner radius))/2*pi)+(2*Side length) to calculate the Perimeter, The Perimeter of Annulus Sector given inner, outer circle radius and side length formula is defined as the total length of the circumference of the circle subtended within the angle. Perimeter is denoted by P symbol.

How to calculate Perimeter of Annulus Sector given inner, outer circle radius and side length using this online calculator? To use this online calculator for Perimeter of Annulus Sector given inner, outer circle radius and side length, enter Theta (ϑ), Outer radius (router), Inner radius (rinner) & Side length (Lside) and hit the calculate button. Here is how the Perimeter of Annulus Sector given inner, outer circle radius and side length calculation can be explained with given input values -> 87.51569 = ((2*pi*0.5235987755982*(10+5))/2*pi)+(2*5).

FAQ

What is Perimeter of Annulus Sector given inner, outer circle radius and side length?
The Perimeter of Annulus Sector given inner, outer circle radius and side length formula is defined as the total length of the circumference of the circle subtended within the angle and is represented as P = ((2*pi*ϑ*(router+rinner))/2*pi)+(2*Lside) or perimeter = ((2*pi*Theta*(Outer radius+Inner radius))/2*pi)+(2*Side length). Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint, Outer radius of any figure is the radius of a larger circle of the two concentric circles that form its boundary, Inner radius of any figure is the radius of its cavity and it is the smaller radius among two concentric circles & Side length is the distance between the inner arc and the outer arc of Annulus Sector.
How to calculate Perimeter of Annulus Sector given inner, outer circle radius and side length?
The Perimeter of Annulus Sector given inner, outer circle radius and side length formula is defined as the total length of the circumference of the circle subtended within the angle is calculated using perimeter = ((2*pi*Theta*(Outer radius+Inner radius))/2*pi)+(2*Side length). To calculate Perimeter of Annulus Sector given inner, outer circle radius and side length, you need Theta (ϑ), Outer radius (router), Inner radius (rinner) & Side length (Lside). With our tool, you need to enter the respective value for Theta, Outer radius, Inner radius & Side length 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 Perimeter?
In this formula, Perimeter uses Theta, Outer radius, Inner radius & Side length. 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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