Math & StatisticsFormula-based · Runs in your browser

Annulus Calculator

Calculate the area and boundary lengths of a ring between two concentric circles.

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Inputs

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Result

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Calculated locally
Annulus area
Outer circumference
Inner circumference
Ring width

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Calculation steps

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  1. 1

    Formula selected

    The calculator uses the following formula or method.

    area = π(R² − r²)

  2. 2

    Values entered

    Your values are placed into the calculation.

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  3. 3

    Result calculated

    The formula or method produces the following result values.

    Results will appear after a successful calculation.

  4. 4

    Answer formatted

    Displayed values are rounded and formatted using each output’s configured precision.

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What this calculator does

Calculate the area and boundary lengths of a ring between two concentric circles.

How it works

The calculator evaluates area = π(R² − r²). Inputs are checked before calculation, and invalid values such as zero denominators or out-of-range selections produce a clear error instead of a misleading result.

Input query strings and outputs

Use an input name in this page’s URL as ?name=value, and join additional inputs with &. Portable shared links may instead use the compact ?ac= state parameter.

Input query strings

2
  • ?outerRadius= Outer radius R

    Number · Required · Default: 10

  • ?innerRadius= Inner radius r

    Number · Required · Default: 6

Outputs

4
  • area Annulus area

    Number · Primary output

  • outerCircumference Outer circumference

    Number

  • innerCircumference Inner circumference

    Number

  • width Ring width

    Number

Inputs and results

The inputs are Outer radius R, Inner radius r. Results include Annulus area, Outer circumference, Inner circumference, Ring width.

Sources
  • No external reference is listed for this calculator. Its formula and variable definitions are shown above.
Limitations
  • Results depend on the selected method and input assumptions. Displayed decimals may be rounded; retain appropriate precision for later calculations.