Longest interval of Annulus given breadth and outer circle Solution

STEP 0: Pre-Calculation Summary
Formula Used
Longest interval of Annulus = 2*sqrt(Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus))
l = 2*sqrt(b*(2*rOuter-b))
This formula uses 1 Functions, 3 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
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.
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.
STEP 1: Convert Input(s) to Base Unit
Breadth of Annulus: 4 Meter --> 4 Meter No Conversion Required
Outer circle radius of Annulus: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
l = 2*sqrt(b*(2*rOuter-b)) --> 2*sqrt(4*(2*10-4))
Evaluating ... ...
l = 16
STEP 3: Convert Result to Output's Unit
16 Meter --> No Conversion Required
FINAL ANSWER
16 Meter <-- Longest interval 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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7 Longest interval of Annulus Calculators

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

Longest interval of Annulus given breadth and outer circle Formula

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

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 Longest interval of Annulus given breadth and outer circle?

Longest interval of Annulus given breadth and outer circle calculator uses Longest interval of Annulus = 2*sqrt(Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus)) to calculate the Longest interval of Annulus, The Longest interval of Annulus given breadth and outer circle formula is defined as the length of the longest line segment within the annulus, which is the chord tangent to the inner circle, where l=2*sqrt(R²-r²) , R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, l = longest interval of Annulus, calculated using breadth and outer circle. Longest interval of Annulus is denoted by l symbol.

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

FAQ

What is Longest interval of Annulus given breadth and outer circle?
The Longest interval of Annulus given breadth and outer circle formula is defined as the length of the longest line segment within the annulus, which is the chord tangent to the inner circle, where l=2*sqrt(R²-r²) , R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, l = longest interval of Annulus, calculated using breadth and outer circle and is represented as l = 2*sqrt(b*(2*rOuter-b)) or Longest interval of Annulus = 2*sqrt(Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus)). Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus & Outer circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.
How to calculate Longest interval of Annulus given breadth and outer circle?
The Longest interval of Annulus given breadth and outer circle formula is defined as the length of the longest line segment within the annulus, which is the chord tangent to the inner circle, where l=2*sqrt(R²-r²) , R = radius of outer circle of Annulus, r = radius of inner circle of Annulus, l = longest interval of Annulus, calculated using breadth and outer circle is calculated using Longest interval of Annulus = 2*sqrt(Breadth of Annulus*(2*Outer circle radius of Annulus-Breadth of Annulus)). To calculate Longest interval of Annulus given breadth and outer circle, you need Breadth of Annulus (b) & Outer circle radius of Annulus (rOuter). With our tool, you need to enter the respective value for Breadth of Annulus & Outer circle radius 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 Longest interval of Annulus?
In this formula, Longest interval of Annulus uses Breadth of Annulus & Outer circle radius of Annulus. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Longest interval of Annulus = 2*sqrt((Outer circle radius of Annulus^2)-(Inner circle radius of Annulus^2))
  • Longest interval of Annulus = 2*sqrt(Area of Annulus/pi)
  • Longest interval of Annulus = 2*sqrt((Perimeter of Annulus/(2*pi))*(Perimeter of Annulus/(2*pi)-2*Inner circle radius of Annulus))
  • Longest interval of Annulus = 2*sqrt((Perimeter of Annulus/(2*pi))*(2*Outer circle radius of Annulus-Perimeter of Annulus/(2*pi)))
  • Longest interval of Annulus = 2*sqrt(Breadth of Annulus*(Breadth of Annulus+2*Inner circle radius of Annulus))
  • Longest interval of Annulus = 2*sqrt(Perimeter of Annulus*Breadth of Annulus/(2*pi))
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