For ceiling speakers with a 90° effective coverage angle, a ceiling height of 3 m (10 ft), and an ear height of 1.2 m (4 ft), the spacing for a 50% coverage or edge-to-center layout is:
The formula for calculating speaker spacing for 50% coverage (edge-to-center) is:
Spacing = 2 × (H - h) × tan(θ / 2)
Where:
H = ceiling height = 3 m
h = ear height = 1.2 m
θ = coverage angle = 90°
Plugging in the values:
Spacing = 2 × (3 - 1.2) × tan(45°)
Spacing = 2 × 1.8 × 1
Spacing = 3.6 m
Therefore, the correct spacing is 3.6 m (12 ft).
[Reference: CTS-D Math Formulas 2024, , ]
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