Breadth of Annulus given Perimeter and Longest Interval Solution

STEP 0: Pre-Calculation Summary
Formula Used
Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2
b = pi/(2*P)*l^2
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
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.
Perimeter of Annulus - (Measured in Meter) - Perimeter of Annulus is defined as the total distance around the edge of the Annulus.
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
Perimeter of Annulus: 100 Meter --> 100 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 = pi/(2*P)*l^2 --> pi/(2*100)*16^2
Evaluating ... ...
b = 4.02123859659494
STEP 3: Convert Result to Output's Unit
4.02123859659494 Meter --> No Conversion Required
FINAL ANSWER
4.02123859659494 4.021239 Meter <-- Breadth of Annulus
(Calculation completed in 00.020 seconds)

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Breadth of Annulus Calculators

Breadth of Annulus given Longest Interval and Inner Circle Radius
​ LaTeX ​ Go Breadth of Annulus = sqrt((Longest Interval of Annulus/2)^2+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus
Breadth of Annulus given Longest Interval and Outer Circle Radius
​ LaTeX ​ Go Breadth of Annulus = Outer Circle Radius of Annulus-sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)
Breadth of Annulus given Perimeter and Inner Circle Radius
​ LaTeX ​ Go Breadth of Annulus = Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus)
Breadth of Annulus given Perimeter and Outer Circle Radius
​ LaTeX ​ Go Breadth of Annulus = (2*Outer Circle Radius of Annulus)-Perimeter of Annulus/(2*pi)

Breadth of Annulus given Perimeter and Longest Interval Formula

​LaTeX ​Go
Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2
b = pi/(2*P)*l^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 Perimeter and Longest Interval?

Breadth of Annulus given Perimeter and Longest Interval calculator uses Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2 to calculate the Breadth of Annulus, The Breadth of Annulus given Perimeter and Longest Interval formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using perimeter and longest interval. Breadth of Annulus is denoted by b symbol.

How to calculate Breadth of Annulus given Perimeter and Longest Interval using this online calculator? To use this online calculator for Breadth of Annulus given Perimeter and Longest Interval, enter Perimeter of Annulus (P) & Longest Interval of Annulus (l) and hit the calculate button. Here is how the Breadth of Annulus given Perimeter and Longest Interval calculation can be explained with given input values -> 4.021239 = pi/(2*100)*16^2.

FAQ

What is Breadth of Annulus given Perimeter and Longest Interval?
The Breadth of Annulus given Perimeter and Longest Interval formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using perimeter and longest interval and is represented as b = pi/(2*P)*l^2 or Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2. Perimeter of Annulus is defined as the total distance around the edge of the Annulus & 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 Perimeter and Longest Interval?
The Breadth of Annulus given Perimeter and Longest Interval formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using perimeter and longest interval is calculated using Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2. To calculate Breadth of Annulus given Perimeter and Longest Interval, you need Perimeter of Annulus (P) & Longest Interval of Annulus (l). With our tool, you need to enter the respective value for Perimeter 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 Perimeter of Annulus & Longest Interval of Annulus. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Breadth of Annulus = sqrt((Longest Interval of Annulus/2)^2+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-(Longest Interval of Annulus/2)^2)
  • Breadth of Annulus = Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus)
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