• 🔊 Speaker Coverage Calculator

    Estimate how wide and tall a speaker's coverage pattern will be at a specific distance using its horizontal and vertical dispersion angles. You can also compare the result with your target audience area.
    Speaker Dispersion
    Example: Enter 90 for a speaker rated 90° horizontal.
    Example: Enter 60 for a speaker rated 60° vertical.
    Coverage Distance
    Optional Audience Area
    Optional. Enter the width of the area you want to cover.
    Used only for the rough multiple-speaker width estimate.

    Estimated Coverage

    Horizontal Coverage Width —
    Coverage Width —
    Coverage Height —
    Half Width —
    Rough Speaker Count —
    Coverage at Selected Distance
    Horizontal Angle Approx. Width at 10 ft Approx. Width at 30 ft
    40° 7.3 ft 21.8 ft
    60° 11.5 ft 34.6 ft
    90° 20 ft 60 ft
    120° 34.6 ft 103.9 ft
    Note: This calculator uses an ideal geometric coverage model. A manufacturer's dispersion angle usually describes a nominal coverage boundary, often related to a specified level reduction such as the -6 dB points. Real speaker coverage varies with frequency, room acoustics, speaker orientation, directivity, placement, nearby surfaces, and the specific loudspeaker design. Multiple-speaker coverage requires additional consideration of overlap, phase, interference, and level.
    How does the Speaker Coverage Calculator work?

    A loudspeaker's coverage angle, sometimes called its dispersion angle, describes the approximate area over which the speaker distributes sound.

    Speaker specifications may list coverage in a format such as 90° × 60°. In this example, 90° represents the horizontal coverage angle while 60° represents the vertical coverage angle.

    As you move farther away from the speaker, the physical area covered by that angle becomes larger. A narrower dispersion pattern focuses coverage into a smaller area, while a wider dispersion angle spreads sound across a larger area.

    This calculator uses the speaker's coverage angle and distance to estimate the physical width and height of that coverage pattern.

    The geometric formula is:

    Coverage = 2 × Distance × tan(Coverage Angle ÷ 2)

    For example, an ideal 90° horizontal coverage pattern has a width of approximately 20 feet at a distance of 10 feet and approximately 60 feet at a distance of 30 feet.
    Tip: Use the manufacturer's published horizontal and vertical dispersion specifications instead of guessing the angles. For PA systems, aim the speaker so its primary coverage pattern reaches the intended audience rather than walls, ceilings, or other reflective surfaces whenever practical. When multiple speakers overlap, use this calculator as a starting point and verify the final placement with proper system design or acoustic measurements.

  • A Speaker Coverage Calculator helps estimate how wide and tall a loudspeaker's sound coverage pattern will be at a particular distance. It can be useful for PA systems, live performances, churches, venues, rehearsal spaces, theaters, DJ setups, conference rooms, and other sound reinforcement applications.

    Loudspeaker specifications often include a dispersion or coverage angle written as something like 90° × 60°. The first number typically represents the speaker's horizontal coverage angle, while the second represents its vertical coverage angle.

    Enter the speaker's horizontal coverage angle, vertical coverage angle, and distance from the target listening area. The calculator estimates the physical width and height of the speaker's nominal coverage pattern at that distance.

    The calculation uses the geometric relationship:

    Coverage = 2 × Distance × tan(Coverage Angle ÷ 2)

    For example, an ideal 90° horizontal coverage pattern produces an approximate coverage width of 20 feet at a distance of 10 feet. At 30 feet, that same 90° angle spans approximately 60 feet.

    This illustrates an important part of loudspeaker placement: the physical coverage area becomes wider as distance increases, even though the speaker's dispersion angle remains the same.

    A speaker with a narrow horizontal dispersion concentrates its nominal coverage into a smaller area, while a speaker with a wide horizontal dispersion can cover a broader area. Vertical dispersion works the same way and can help determine how much of the audience, floor, walls, or ceiling falls inside the nominal vertical coverage pattern.

    You can also enter an optional audience width. The calculator compares the audience area with the estimated horizontal coverage of one speaker and provides a rough estimate of how many speakers may be needed across that width.

    An optional overlap setting is included for experimenting with multiple-speaker layouts. Keep in mind that this is only a geometric width estimate. Simply overlapping multiple speakers does not guarantee even sound coverage.

    When two or more loudspeakers cover the same area, their sound waves can interact. The final result depends on factors including speaker spacing, aiming, frequency, phase, delay, level, directivity, and the specific loudspeaker design. Poorly planned overlap can create interference and inconsistent frequency response rather than improving coverage.

    Manufacturer coverage angles are also nominal specifications rather than hard boundaries where sound suddenly stops. Depending on the manufacturer, the published angle may describe points where the sound level has dropped by a specified amount, commonly around the edges of the nominal coverage pattern. Coverage can also change substantially with frequency.

    For professional sound-system design, use the loudspeaker manufacturer's detailed polar data, prediction software, and acoustic measurements when available.

    Tip: Use the speaker manufacturer's actual horizontal and vertical dispersion specifications whenever possible. When positioning PA speakers, aim the useful coverage toward the audience rather than unnecessarily directing large portions of the speaker's output toward walls or ceilings. For multiple-speaker systems, combine coverage calculations with your Speaker Delay, Phase Alignment, and SPL calculations to get a more complete picture of the system.

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