RACK/ROOMS & COVERAGE
θcov\theta_{cov}

Speaker coverage

Put every seat inside the sweet spot.

Inputs

YOUR SYSTEM
°
10150
°
10150
m
0.5100

Result

METER
Horizontal coverage
20.0m
Width at a plane perpendicular to the speaker axis
Vertical coverage
11.5m
Bounding footprint
230.9m²
Throw distance
10.0m
90°20.0 m coverage10.0 m throwTOP VIEWNOMINAL -6 dB BOUNDARY
Nominal coverage footprint: Geometric model

How it works

Aim for coverage, not just volume.

A loudspeaker coverage angle forms a wedge. At a given distance, simple trigonometry gives the horizontal width and vertical height of that wedge.

The formula

w=2⋅d⋅tan⁡(θ2)w = 2 \cdot d \cdot \tan\left(\frac{\theta}{2}\right)
  • dd — axial distance in meters
  • θ\theta — nominal dispersion angle
  • Repeat for the vertical angle

Worth knowing

The edge is not a hard cutoff. A nominal -6 dB coverage angle means the sound is quieter at the boundary, not silent outside it.

Assumptions

Actual coverage varies with frequency, cabinet design and mounting angle. The footprint is a rectangular bounding estimate, not a prediction of uniform SPL. Consult manufacturer polar data.

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