Credits

Kamala Nehru College, University of Delhi (KNC), New Delhi
Prachi has created this Calculator and 100+ more calculators!
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 1100+ more calculators!

Diagonal of Annulus Sector Solution

STEP 0: Pre-Calculation Summary
Formula Used
diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta))
d = sqrt(router^2+rinner^2-2*router*rinner*cos(ϑ))
This formula uses 2 Functions, 3 Variables
Functions Used
cos - Trigonometric cosine function, cos(Angle)
sqrt - Squre root function, sqrt(Number)
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)
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
Outer radius: 10 Meter --> 10 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
d = sqrt(router^2+rinner^2-2*router*rinner*cos(ϑ)) --> sqrt(10^2+5^2-2*10*5*cos(0.5235987755982))
Evaluating ... ...
d = 6.19656837463738
STEP 3: Convert Result to Output's Unit
6.19656837463738 Meter --> No Conversion Required
FINAL ANSWER
6.19656837463738 Meter <-- Diagonal
(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

Diagonal of Annulus Sector Formula

diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta))
d = sqrt(router^2+rinner^2-2*router*rinner*cos(ϑ))

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 Diagonal of Annulus Sector?

Diagonal of Annulus Sector calculator uses diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta)) to calculate the Diagonal, The Diagonal of Annulus Sector formula is defined as the maximum distance between the two opposite points on the outer and inner arc. Diagonal is denoted by d symbol.

How to calculate Diagonal of Annulus Sector using this online calculator? To use this online calculator for Diagonal of Annulus Sector, enter Outer radius (router), Inner radius (rinner) & Theta (ϑ) and hit the calculate button. Here is how the Diagonal of Annulus Sector calculation can be explained with given input values -> 6.196568 = sqrt(10^2+5^2-2*10*5*cos(0.5235987755982)).

FAQ

What is Diagonal of Annulus Sector?
The Diagonal of Annulus Sector formula is defined as the maximum distance between the two opposite points on the outer and inner arc and is represented as d = sqrt(router^2+rinner^2-2*router*rinner*cos(ϑ)) or diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta)). 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 & Theta is an angle that can be defined as the figure formed by two rays meeting at a common endpoint.
How to calculate Diagonal of Annulus Sector?
The Diagonal of Annulus Sector formula is defined as the maximum distance between the two opposite points on the outer and inner arc is calculated using diagonal = sqrt(Outer radius^2+Inner radius^2-2*Outer radius*Inner radius*cos(Theta)). To calculate Diagonal of Annulus Sector, you need Outer radius (router), Inner radius (rinner) & Theta (ϑ). With our tool, you need to enter the respective value for Outer radius, 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 Diagonal?
In this formula, Diagonal uses Outer radius, 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)
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!