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Math · Rex's Toolbox

Sound Level & Distance Calculator

How loudness drops as you move away from a source.

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Rex says

The fast lane for the math you almost remember from school. Type the numbers, get the answer, move on with your day.

Try a scenario

Click to load — tweak from there.

Inputs

Result

Level at new distance (dB)

80.0

Reduction (dB)

20.0

Exposure note

Below 85 dB — safe for 8h

Relative intensity (×)

0.01000

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How to use this

  1. 1Enter level at reference distance (dB).
  2. 2Enter reference distance (m).
  3. 3Enter new distance (m).
  4. 4Read your level at new distance (db) on the right — it updates as you type.
  5. 5Hit Share to keep the scenario or send it to someone.

About this calculator

Sound pressure falls roughly 6 dB every time distance doubles. Useful for noise complaints, speaker placement, and hearing safety.

FormuladB₂ = dB₁ − 20 log₁₀(d₂ ÷ d₁)

Worked example

Using the values the calculator loads with:

Inputs

  • Level at reference distance: 100 dB
  • Reference distance: 1 m
  • New distance: 10 m

Results

  • Level at new distance (dB): 80
  • Reduction (dB): 20
  • Exposure note: Below 85 dB — safe for 8h
  • Relative intensity (×): 0.01

What each field means

Inputs

Level at reference distance (dB)
The level at reference distance used in the calculation, measured in dB. Starts at 100 dB so you have a working example on load.
Reference distance (m)
The reference distance used in the calculation, measured in m. Starts at 1 m so you have a working example on load.
New distance (m)
The new distance used in the calculation, measured in m. Starts at 10 m so you have a working example on load.

Results

Level at new distance (dB)
Returned as a decimal number and shown as the headline result. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Reduction (dB)
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Exposure note
Returned as a plain value. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.
Relative intensity (×)
Returned as a decimal number. It recalculates instantly whenever you change an input, so you can compare scenarios without reloading.

FAQ

How does the sound level & distance calculator work?

Sound pressure falls roughly 6 dB every time distance doubles. Useful for noise complaints, speaker placement, and hearing safety. The underlying maths is: dB₂ = dB₁ − 20 log₁₀(d₂ ÷ d₁)

What do I need to enter?

3 values: level at reference distance, reference distance, and new distance. Each field starts with a sensible default, so you can change one number at a time and watch the result move.

What does the level at new distance (db) result mean?

It is returned as a decimal number and updates live as you edit the inputs, so you can compare two or three versions of a scenario in a few seconds.

Is this calculator free, and do I need an account?

Yes, it's free, and no account is required. Nothing you type is stored on our servers — the maths runs entirely in your browser.

How accurate is the result?

It applies the standard formula exactly, so the arithmetic is precise. Results are rounded for display; the underlying calculation keeps full precision.

Who is this tool for?

It's built for students, developers, and anyone who needs the answer right now without setting up a spreadsheet.

Accuracy and limitations

  • Results are rounded for display; the underlying calculation keeps full precision.
  • Very large or very small inputs may hit floating-point limits in the browser.
  • Inputs outside the accepted range are clamped rather than rejected.

Cite this calculator

Writing about this topic? Grab a citation — every link helps keep these tools free.

APA
RevenueLab. (2026). Decibel Distance Calculator. Retrieved from https://www.revenuelab.fyi/toolbox/sound-db
HTML
<p>Source: <a href="https://www.revenuelab.fyi/toolbox/sound-db" target="_blank" rel="noopener">Decibel Distance Calculator — RevenueLab</a> (2026).</p>
Markdown
Source: [Decibel Distance Calculator — RevenueLab](https://www.revenuelab.fyi/toolbox/sound-db) (2026).
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