Breadth of Annulus given Longest Interval and Outer Circle Radius Calculator

✖Outer Circle Radius of Annulus is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Circle Radius of Annulus [r_Outer]			+10% -10%
✖Longest Interval of Annulus is the length of the longest line segment within the Annulus, which is the chord tangent to the inner circle.ⓘ Longest Interval of Annulus [l]			+10% -10%

✖Breadth of Annulus is defined as the shortest distance or measurement between outer circle and inner circle of Annulus.ⓘ Breadth of Annulus given Longest Interval and Outer Circle Radius [b]

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Breadth of Annulus given Longest Interval and Outer Circle Radius 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 = r_Outer-sqrt(r_Outer^2-(l/2)^2)
This formula uses 1 Functions, 3 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., 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 = r_Outer-sqrt(r_Outer^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 00.004 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 Longest Interval and Outer Circle Radius Formula

LaTeX Go

Breadth of Annulus = Outer Circle Radius of Annulus-sqrt(Outer Circle Radius of Annulus^2-(Longest Interval of Annulus/2)^2)
b = r_Outer-sqrt(r_Outer^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 Radius?

Breadth of Annulus given Longest Interval and Outer Circle Radius 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 Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using longest interval and outer circle radius. Breadth of Annulus is denoted by b symbol.

How to calculate Breadth of Annulus given Longest Interval and Outer Circle Radius using this online calculator? To use this online calculator for Breadth of Annulus given Longest Interval and Outer Circle Radius, enter Outer Circle Radius of Annulus (r_Outer) & Longest Interval of Annulus (l) and hit the calculate button. Here is how the Breadth of Annulus given Longest Interval and Outer Circle Radius 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 Radius?

The Breadth of Annulus given Longest Interval and Outer Circle Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using longest interval and outer circle radius and is represented as b = r_Outer-sqrt(r_Outer^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 Radius?

The Breadth of Annulus given Longest Interval and Outer Circle Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using longest interval and outer circle radius 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 Radius, you need Outer Circle Radius of Annulus (r_Outer) & 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 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 = 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)

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