Width of Circular Ring given Area and Inner Radius Calculator

✖Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.ⓘ Area of Circular Ring [A]			+10% -10%
✖The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.ⓘ Inner Radius of Circular Ring [r_Inner]			+10% -10%

✖Width of Circular Ring is defined as the shortest distance or measurement between outer circle and inner circle of Circular Ring.ⓘ Width of Circular Ring given Area and Inner Radius [w]

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Formula

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Width of Circular Ring given Area and Inner Radius

Formula

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

Example

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

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Width of Circular Ring given Area and Inner Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Circular Ring = sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring
w = 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

Width of Circular Ring - (Measured in Meter) - Width of Circular Ring is defined as the shortest distance or measurement between outer circle and inner circle of Circular Ring.
Area of Circular Ring - (Measured in Square Meter) - Area of Circular Ring is the area of the ring-shaped space i.e. the enclosed region between the two concentric circles of two different radii.
Inner Radius of Circular Ring - (Measured in Meter) - The Inner Radius of Circular Ring is the radius of its cavity and the smaller radius among two concentric circles.

STEP 1: Convert Input(s) to Base Unit

Area of Circular Ring: 200 Square Meter --> 200 Square Meter No Conversion Required
Inner Radius of Circular Ring: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

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

Evaluating ... ...

w = 3.98308455522431

STEP 3: Convert Result to Output's Unit

3.98308455522431 Meter --> No Conversion Required

FINAL ANSWER

3.98308455522431 ≈ 3.983085 Meter <-- Width of Circular Ring

(Calculation completed in 00.004 seconds)

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< 9 Width of Circular Ring Calculators

Width of Circular Ring given Area and Inner Radius

Go Width of Circular Ring = sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring

Width of Circular Ring given Area and Outer Radius

Go Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)

Width of Circular Ring given Longest Interval and Inner Radius

Go Width of Circular Ring = sqrt((Longest Interval of Circular Ring/2)^2+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring

Width of Circular Ring given Longest Interval and Outer Radius

Go Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)

Width of Circular Ring given Perimeter and Longest Interval

Go Width of Circular Ring = pi/(2*Perimeter of Circular Ring)*Longest Interval of Circular Ring^2

Width of Circular Ring given Perimeter and Inner Radius

Go Width of Circular Ring = Perimeter of Circular Ring/(2*pi)-(2*Inner Radius of Circular Ring)

Width of Circular Ring given Perimeter and Outer Radius

Go Width of Circular Ring = (2*Outer Radius of Circular Ring)-Perimeter of Circular Ring/(2*pi)

Width of Circular Ring

Go Width of Circular Ring = Outer Radius of Circular Ring-Inner Radius of Circular Ring

Width of Circular Ring given Perimeter and Area

Go Width of Circular Ring = 2*Area of Circular Ring/Perimeter of Circular Ring

Width of Circular Ring given Area and Inner Radius Formula

Width of Circular Ring = sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring
w = sqrt(A/pi+r_Inner^2)-r_Inner

What is Circular Ring?

Circular Ring is the ring shape formed by two concentric circles or the region in between the outer and inner circles among a pair of concentric circles. This shape is in general known as Annulus.

What is a Circle?

A Circle is a basic two dimensional geometric shape which is defined as the collection of all points on a plane which are in a fixed distance from a fixed point. The fixed point is called the center of the Circle and the fixed distance is called the radius of the Circle. When two radii become collinear, that combined length is called the diameter of the Circle. That is, diameter is the length of the line segment inside the Circle which pass through the center and it will be two times the radius.

How to Calculate Width of Circular Ring given Area and Inner Radius?

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

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

FAQ

What is Width of Circular Ring given Area and Inner Radius?

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

How to calculate Width of Circular Ring given Area and Inner Radius?

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

In this formula, Width of Circular Ring uses Area of Circular Ring & Inner Radius of Circular Ring. We can use 8 other way(s) to calculate the same, which is/are as follows -

Width of Circular Ring = Outer Radius of Circular Ring-Inner Radius of Circular Ring
Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)
Width of Circular Ring = sqrt((Longest Interval of Circular Ring/2)^2+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring
Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-(Longest Interval of Circular Ring/2)^2)
Width of Circular Ring = 2*Area of Circular Ring/Perimeter of Circular Ring
Width of Circular Ring = Perimeter of Circular Ring/(2*pi)-(2*Inner Radius of Circular Ring)
Width of Circular Ring = pi/(2*Perimeter of Circular Ring)*Longest Interval of Circular Ring^2
Width of Circular Ring = (2*Outer Radius of Circular Ring)-Perimeter of Circular Ring/(2*pi)

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