Width of Circular Ring given Area and Outer Radius Calculator

✖The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.ⓘ Outer Radius of Circular Ring [r_Outer]			+10% -10%
✖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%

✖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 Outer Radius [w]

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Width of Circular Ring given Area and Outer Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi)
w = r_Outer-sqrt(r_Outer^2-A/pi)
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.
Outer Radius of Circular Ring - (Measured in Meter) - The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary.
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.

STEP 1: Convert Input(s) to Base Unit

Outer Radius of Circular Ring: 10 Meter --> 10 Meter No Conversion Required
Area of Circular Ring: 200 Square Meter --> 200 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

w = r_Outer-sqrt(r_Outer^2-A/pi) --> 10-sqrt(10^2-200/pi)

Evaluating ... ...

w = 3.97189725010913

STEP 3: Convert Result to Output's Unit

3.97189725010913 Meter --> No Conversion Required

FINAL ANSWER

3.97189725010913 ≈ 3.971897 Meter <-- Width of Circular Ring

(Calculation completed in 00.004 seconds)

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< Width of Circular Ring Calculators

Width of Circular Ring given Area and Inner Radius

LaTeX 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

LaTeX 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

LaTeX 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

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

Width of Circular Ring given Area and Outer Radius Formula

LaTeX Go

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

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 Outer Radius?

Width of Circular Ring given Area and Outer Radius calculator uses Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi) to calculate the Width of Circular Ring, The Width of Circular Ring given Area and Outer 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 outer radius of Circular Ring. Width of Circular Ring is denoted by w symbol.

How to calculate Width of Circular Ring given Area and Outer Radius using this online calculator? To use this online calculator for Width of Circular Ring given Area and Outer Radius, enter Outer Radius of Circular Ring (r_Outer) & Area of Circular Ring (A) and hit the calculate button. Here is how the Width of Circular Ring given Area and Outer Radius calculation can be explained with given input values -> 3.971897 = 10-sqrt(10^2-200/pi).

FAQ

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

The Width of Circular Ring given Area and Outer 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 outer radius of Circular Ring and is represented as w = r_Outer-sqrt(r_Outer^2-A/pi) or Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi). The Outer Radius of Circular Ring is the radius of a larger circle of the two concentric circles that form its boundary & 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.

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

The Width of Circular Ring given Area and Outer 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 outer radius of Circular Ring is calculated using Width of Circular Ring = Outer Radius of Circular Ring-sqrt(Outer Radius of Circular Ring^2-Area of Circular Ring/pi). To calculate Width of Circular Ring given Area and Outer Radius, you need Outer Radius of Circular Ring (r_Outer) & Area of Circular Ring (A). With our tool, you need to enter the respective value for Outer Radius of Circular Ring & Area 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 Outer Radius of Circular Ring & Area of Circular Ring. We can use 3 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 = sqrt(Area of Circular Ring/pi+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring
Width of Circular Ring = sqrt((Longest Interval of Circular Ring/2)^2+Inner Radius of Circular Ring^2)-Inner Radius of Circular Ring

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