Breadth of Annulus given Area and Inner Circle Radius Calculator

✖Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.ⓘ Area of Annulus [A]			+10% -10%
✖Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.ⓘ Inner Circle Radius of Annulus [r_Inner]			+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 Area and Inner Circle Radius [b]

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Formula

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Breadth of Annulus given Area and Inner Circle Radius

Formula

`"b" = sqrt("A"/pi+"r"_{"Inner"}^2)-"r"_{"Inner"}`

Example

`"3.983085m"=sqrt("200m²"/pi+("6m")^2)-"6m"`

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Breadth of Annulus given Area and Inner Circle Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus
b = sqrt(A/pi+r_Inner^2)-r_Inner
This formula uses 1 Constants, 1 Functions, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

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.
Area of Annulus - (Measured in Square Meter) - Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles.
Inner Circle Radius of Annulus - (Measured in Meter) - Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

STEP 1: Convert Input(s) to Base Unit

Area of Annulus: 200 Square Meter --> 200 Square Meter No Conversion Required
Inner Circle Radius of Annulus: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

b = sqrt(A/pi+r_Inner^2)-r_Inner --> sqrt(200/pi+6^2)-6

Evaluating ... ...

b = 3.98308455522431

STEP 3: Convert Result to Output's Unit

3.98308455522431 Meter --> No Conversion Required

FINAL ANSWER

3.98308455522431 ≈ 3.983085 Meter <-- Breadth of Annulus

(Calculation completed in 00.004 seconds)

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NATIONAL INSTITUTE OF ENGINEERING (nie), mysore

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< 9 Breadth of Annulus Calculators

Breadth of Annulus given Area and Inner Circle Radius

Go Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus

Breadth of Annulus given Area and Outer Circle Radius

Go Breadth of Annulus = Outer Circle Radius of Annulus-sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)

Breadth of Annulus given Longest Interval and Inner Circle Radius

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

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

Go Breadth of Annulus = Perimeter of Annulus/(2*pi)-(2*Inner Circle Radius of Annulus)

Breadth of Annulus given Perimeter and Outer Circle Radius

Go Breadth of Annulus = (2*Outer Circle Radius of Annulus)-Perimeter of Annulus/(2*pi)

Breadth of Annulus given Perimeter and Longest Interval

Go Breadth of Annulus = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2

Breadth of Annulus

Go Breadth of Annulus = Outer Circle Radius of Annulus-Inner Circle Radius of Annulus

Breadth of Annulus given Perimeter and Area

Go Breadth of Annulus = 2*Area of Annulus/Perimeter of Annulus

< 3 Breadth of Annulus Calculators

Breadth of Annulus given Area and Inner Circle Radius

Go Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus

Breadth of Annulus given Area and Outer Circle Radius

Go Breadth of Annulus = Outer Circle Radius of Annulus-sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)

Breadth of Annulus

Go Breadth of Annulus = Outer Circle Radius of Annulus-Inner Circle Radius of Annulus

Breadth of Annulus given Area and Inner Circle Radius Formula

Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus
b = sqrt(A/pi+r_Inner^2)-r_Inner

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 Area and Inner Circle Radius?

Breadth of Annulus given Area and Inner Circle Radius calculator uses Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus to calculate the Breadth of Annulus, The Breadth of Annulus given Area and Inner Circle Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using area and inner circle radius. Breadth of Annulus is denoted by b symbol.

How to calculate Breadth of Annulus given Area and Inner Circle Radius using this online calculator? To use this online calculator for Breadth of Annulus given Area and Inner Circle Radius, enter Area of Annulus (A) & Inner Circle Radius of Annulus (r_Inner) and hit the calculate button. Here is how the Breadth of Annulus given Area and Inner Circle Radius calculation can be explained with given input values -> 3.983085 = sqrt(200/pi+6^2)-6.

FAQ

What is Breadth of Annulus given Area and Inner Circle Radius?

The Breadth of Annulus given Area and Inner Circle Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using area and inner circle radius and is represented as b = sqrt(A/pi+r_Inner^2)-r_Inner or Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus. Area of Annulus is defined as the area of the ring-shaped space i.e. the enclosed region between the two concentric circles & Inner Circle Radius of Annulus is the radius of its cavity and it is the smaller radius among two concentric circles.

How to calculate Breadth of Annulus given Area and Inner Circle Radius?

The Breadth of Annulus given Area and Inner Circle Radius formula is defined as the shortest distance or measurement between outer circle and inner circle of Annulus, calculated using area and inner circle radius is calculated using Breadth of Annulus = sqrt(Area of Annulus/pi+Inner Circle Radius of Annulus^2)-Inner Circle Radius of Annulus. To calculate Breadth of Annulus given Area and Inner Circle Radius, you need Area of Annulus (A) & Inner Circle Radius of Annulus (r_Inner). With our tool, you need to enter the respective value for Area of Annulus & Inner 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 Breadth of Annulus?

In this formula, Breadth of Annulus uses Area of Annulus & Inner Circle Radius of Annulus. We can use 10 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)
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 = 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 = pi/(2*Perimeter of Annulus)*Longest Interval of Annulus^2
Breadth of Annulus = Outer Circle Radius of Annulus-Inner Circle Radius of Annulus
Breadth of Annulus = Outer Circle Radius of Annulus-sqrt(Outer Circle Radius of Annulus^2-Area of Annulus/pi)

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