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Annulus radii from area: Annulus width Calculator

Annulus radii from area: Calculate annulus width from Area, Inner radius. Check the formula, input units and worked result on this page.

Enter your values

cm²
Formula symbol: A. Required unit: cm². Must be greater than zero.
cm
Formula symbol: r. Required unit: cm. Distance from the centre to the edge; half the diameter. Must be greater than zero.

Use a decimal point, without thousands separators.

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.
Example result
Annulus width
3 cm

The initial result uses the example values. Enter your own values and calculate again.

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How it works

The circles are concentric; annulus area is outer disk minus inner disk. Width is the difference between the radii. This form solves for annulus width; enter the known quantities in Area, Inner radius.

Inputs and units
Annulus radii from area: Annulus width Calculator · Inputs and units
InputExample valueWhat to enter
Area65.97344572538566 cm²Formula symbol: A. Required unit: cm². Must be greater than zero.
Inner radius2 cmFormula symbol: r. Required unit: cm. Distance from the centre to the edge; half the diameter. Must be greater than zero.
w = A / (π(√(A/π + r²) + r))

Worked example

Show example inputs and results

This example is generated by the same calculation engine using the starting values in the form. Your own inputs produce your own result.

Area
65.97344572538566 cm²
Inner radius
2 cm

Complete example results

Annulus width
3 cm

Reading the result

The result solves for annulus width from the entered quantities. Check the result unit and the formula conditions before using it.

Questions and answers

Can I use the example values for my own calculation?

The example values illustrate the calculation. Replace every input with your own information, especially dates, rates and the selected operation.

When can I use the annulus width result?

Lengths use cm, areas cm² and volumes cm³ on one consistent scale. The positive real branch is selected; the supplied quantities must describe the stated shape.

Why are some results rounded?

Results display up to 8 decimal places. Calculations use the unrounded values; very small values use scientific notation. JavaScript floating-point arithmetic can introduce tiny rounding differences.

Are my inputs sent to a server?

The calculator processes inputs in your browser. Its code does not send your values to a server.

Method sources: openstax.org

Methods & accuracy

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