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Area of Annulus Sector given inner circle radius and side length Solution

STEP 0: Pre-Calculation Summary
Formula Used
area = (Side length*(2*Inner radius+Side length)*pi*Theta)/(2*pi)
A = (Lside*(2*rinner+Lside)*pi*ϑ)/(2*pi)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Side length - Side length is the distance between the inner arc and the outer arc of Annulus Sector. (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)
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
Side length: 5 Meter --> 5 Meter No Conversion Required
Inner radius: 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
A = (Lside*(2*rinner+Lside)*pi*ϑ)/(2*pi) --> (5*(2*5+5)*pi*0.5235987755982)/(2*pi)
Evaluating ... ...
A = 19.6349540849325
STEP 3: Convert Result to Output's Unit
19.6349540849325 Square Meter --> No Conversion Required
FINAL ANSWER
19.6349540849325 Square Meter <-- Area
(Calculation completed in 00.015 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

Area of Annulus Sector given inner circle radius and side length Formula

area = (Side length*(2*Inner radius+Side length)*pi*Theta)/(2*pi)
A = (Lside*(2*rinner+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 Area of Annulus Sector given inner circle radius and side length?

Area of Annulus Sector given inner circle radius and side length calculator uses area = (Side length*(2*Inner radius+Side length)*pi*Theta)/(2*pi) to calculate the Area, The Area of Annulus Sector given inner circle radius and side length formula is defined as the total region covered between the outer and the inner circle of the Annulus Sector. Area is denoted by A symbol.

How to calculate Area of Annulus Sector given inner circle radius and side length using this online calculator? To use this online calculator for Area of Annulus Sector given inner circle radius and side length, enter Side length (Lside), Inner radius (rinner) & Theta (ϑ) and hit the calculate button. Here is how the Area of Annulus Sector given inner circle radius and side length calculation can be explained with given input values -> 19.63495 = (5*(2*5+5)*pi*0.5235987755982)/(2*pi).

FAQ

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