Beam Angle Calculator

Photometry · Beam

Know the pool size you want and how far the fixture sits? Find the beam angle — the optic — you need to buy. Adjust the sliders and the diagram shows the matching cone.

θ = 2 × arctan( D / (2 × d) )  ·  D = desired pool diameter, d = distance
Presets:




Match the angle to a standard optic
Optic Beam angle Typical use
Narrow spot (NSP) 8–15° Artwork, columns, signage
Spot (SP) 16–24° Retail display, accents
Flood (NFL/MFL) 25–40° General accent, dining
Wide flood (WFL) 45–60° Ambient fill, wall wash
Very wide (VWFL) 70°+ Low ceilings, even fill

Worked example: to light a 1.2 m pool from 2.4 m away you need 2 × arctan(1.2 / 4.8) = 28° — a spot / narrow-flood optic.

Choosing narrow vs. wide. A narrow beam concentrates light into a tight, punchy pool — good for drawing the eye to one object, but it leaves the surrounding area dim. A wide beam spreads the same lumens over more area for even, general coverage, at the cost of that dramatic contrast. As a rule, go narrower for accent and feature lighting, wider for ambient fill.

Beam angle vs. mounting height. The same optic throws a smaller, brighter pool when mounted low and a larger, dimmer one when mounted high — beam angle sets the shape of the cone, distance sets its size. If you’re deciding between two fixtures with different beam angles, use this calculator at your actual ceiling height rather than comparing angles alone.

Common mistake. Edge falloff is gradual, not a hard line — the calculator gives the angle where output drops to about half-intensity, so the visible pool on a wall or floor is usually a bit larger (and dimmer at the rim) than the number suggests. For layered lighting, combining a narrow spot with a wider flood on the same object often reads better than one fixture trying to do both jobs.

Scroll to Top

The calculators and tools on Formula Factory are provided for general guidance and informational purposes only. Results are estimates based on standard formulas and the values you enter — they do not constitute professional engineering, electrical, or architectural advice. Always verify calculations with a qualified professional before making decisions for any safety-critical, code-compliance, or commercial application. Formula Factory makes no representations or warranties as to the accuracy or completeness of any result, and accepts no liability for errors, omissions, or any outcomes arising from reliance on this information.