Breadth of Annulus given longest interval and outer circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2)
b = rOuter-sqrt((rOuter^2)-(l/2)^2)
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Breadth of Annulus - (Measured in Meter) - Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.
Outer circle radius of Annulus - (Measured in Meter) - Outer circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.
Longest interval of Annulus - (Measured in Meter) - Longest interval of Annulus is the length of the longest line segment within the annulus, which is the chord tangent to the inner circle.
STEP 1: Convert Input(s) to Base Unit
Outer circle radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
Longest interval of Annulus: 16 Meter --> 16 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
b = rOuter-sqrt((rOuter^2)-(l/2)^2) --> 10-sqrt((10^2)-(16/2)^2)
Evaluating ... ...
b = 4
STEP 3: Convert Result to Output's Unit
4 Meter --> No Conversion Required
FINAL ANSWER
4 Meter <-- Breadth of Annulus
(Calculation completed in 00.015 seconds)

Credits

Created by prachi gami
NATIONAL INSTITUTE OF ENGINEERING (nie), mysore
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Verified by Nikita Kumari
The National Institute of Engineering (NIE), Mysuru
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9 Breadth of Annulus Calculators

Breadth of Annulus given area and inner circle
Breadth of Annulus = sqrt(Area of Annulus/pi+Inner circle radius of Annulus^2)-Inner circle radius of Annulus Go
Breadth of Annulus given area and outer circle
Breadth of Annulus = Outer circle radius of Annulus-sqrt(Outer circle radius of Annulus^2-Area of Annulus/pi) Go
Breadth of Annulus given longest interval and outer circle
Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2) Go
Breadth of Annulus given longest interval and inner circle
Breadth of Annulus = sqrt((Longest interval of Annulus^2/4)+Inner circle radius of Annulus^2)-Inner circle radius of Annulus Go
Breadth of Annulus given perimeter and inner circle
Breadth of Annulus = Perimeter of Annulus/(2*pi)-2*Inner circle radius of Annulus Go
Breadth of Annulus given perimeter and outer circle
Breadth of Annulus = 2*Outer circle radius of Annulus-Perimeter of Annulus/(2*pi) Go
Breadth of Annulus given Perimeter and longest interval
Breadth of Annulus = (Longest interval of Annulus^2)*pi/(2*Perimeter of Annulus) Go
Breadth of Annulus
Breadth of Annulus = Outer circle radius of Annulus-Inner circle radius of Annulus Go
Breadth of Annulus given perimeter and area
Breadth of Annulus = 2*Area of Annulus/Perimeter of Annulus Go

Breadth of Annulus given longest interval and outer circle Formula

Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2)
b = rOuter-sqrt((rOuter^2)-(l/2)^2)

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 Breadth of Annulus given longest interval and outer circle?

Breadth of Annulus given longest interval and outer circle calculator uses Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2) to calculate the Breadth of Annulus, The Breadth of Annulus given longest interval and outer circle formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, and b=R-r, where b = Annulus breadth, R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, calculated using longest interval and outer circle. Breadth of Annulus is denoted by b symbol.

How to calculate Breadth of Annulus given longest interval and outer circle using this online calculator? To use this online calculator for Breadth of Annulus given longest interval and outer circle, enter Outer circle radius of Annulus (rOuter) & Longest interval of Annulus (l) and hit the calculate button. Here is how the Breadth of Annulus given longest interval and outer circle calculation can be explained with given input values -> 4 = 10-sqrt((10^2)-(16/2)^2).

FAQ

What is Breadth of Annulus given longest interval and outer circle?
The Breadth of Annulus given longest interval and outer circle formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, and b=R-r, where b = Annulus breadth, R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, calculated using longest interval and outer circle and is represented as b = rOuter-sqrt((rOuter^2)-(l/2)^2) or Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2). Outer circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary & Longest interval of Annulus is the length of the longest line segment within the annulus, which is the chord tangent to the inner circle.
How to calculate Breadth of Annulus given longest interval and outer circle?
The Breadth of Annulus given longest interval and outer circle formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, and b=R-r, where b = Annulus breadth, R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, calculated using longest interval and outer circle is calculated using Breadth of Annulus = Outer circle radius of Annulus-sqrt((Outer circle radius of Annulus^2)-(Longest interval of Annulus/2)^2). To calculate Breadth of Annulus given longest interval and outer circle, you need Outer circle radius of Annulus (rOuter) & Longest interval of Annulus (l). With our tool, you need to enter the respective value for Outer circle radius of Annulus & Longest interval 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 Breadth of Annulus?
In this formula, Breadth of Annulus uses Outer circle radius of Annulus & Longest interval of Annulus. We can use 8 other way(s) to calculate the same, which is/are as follows -
  • Breadth of Annulus = sqrt((Longest interval of Annulus^2/4)+Inner circle radius of Annulus^2)-Inner circle radius of Annulus
  • Breadth of Annulus = Perimeter of Annulus/(2*pi)-2*Inner circle radius of Annulus
  • Breadth of Annulus = 2*Outer circle radius of Annulus-Perimeter of Annulus/(2*pi)
  • Breadth of Annulus = Outer circle radius of Annulus-Inner circle radius of Annulus
  • Breadth of Annulus = sqrt(Area of Annulus/pi+Inner circle radius of Annulus^2)-Inner circle radius of Annulus
  • Breadth of Annulus = Outer circle radius of Annulus-sqrt(Outer circle radius of Annulus^2-Area of Annulus/pi)
  • Breadth of Annulus = 2*Area of Annulus/Perimeter of Annulus
  • Breadth of Annulus = (Longest interval of Annulus^2)*pi/(2*Perimeter of Annulus)
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