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Beam Angles, Throw & Diameter

The table below shows the beam diameter from a luminaire set at a certain beam angle, for various throw distances.

Throw Distance (m)
  1 2 3 4 5 6 7 8 9 10 12.5 15 17.5 20 25 30
Angle (degrees) 5 0.09 0.17 0.26 0.35 0.44 0.52 0.61 0.70 0.79 0.87 1.09 1.31 1.53 1.75 2.18 2.62
10 0.17 0.35 0.52 0.70 0.87 1.05 1.22 1.40 1.57 1.75 2.19 2.62 3.06 3.50 4.37 5.25
15 0.26 0.53 0.79 1.05 1.32 1.58 1.84 2.11 2.37 2.63 3.29 3.95 4.61 5.27 6.58 7.90
20 0.35 0.71 1.06 1.41 1.76 2.12 2.47 2.82 3.17 3.53 4.41 5.29 6.17 7.05 8.82 10.58
25 0.44 0.89 1.83 1.77 2.22 2.66 3.10 3.55 3.99 4.43 5.54 6.65 7.76 8.87 11.08 13.30
30 0.54 1.07 1.61 2.14 2.68 3.22 3.75 4.29 4.82 5.36 6.70 8.04 9.38 10.72 13.40 16.08
35 0.63 1.26 1.89 2.52 3.15 3.78 4.41 5.04 5.68 6.31 7.88 9.46 11.04 12.61 15.76 18.92
40 0.73 1.46 2.18 2.91 3.64 4.37 5.10 5.82 6.55 7.28 9.10 10.92 12.74 14.56 18.20 21.84
45 0.83 1.66 2.49 3.31 4.14 4.97 5.80 6.63 7.46 8.28 10.36 12.43 14.50 16.57 20.71 24.85
50 0.93 1.87 2.80 3.73 4.66 5.60 6.53 7.46 8.39 9.33 11.66 13.99 16.32 18.65 23.32 27.98
55 1.04 2.08 3.12 4.16 5.21 6.25 7.29 8.33 9.37 10.41 13.01 15.62 18.22 20.82 26.03 31.23
60 1.15 2.31 3.46 4.62 5.77 6.93 8.08 9.24 10.39 11.55 14.43 17.32 20.21 23.09 28.87 34.64
65 1.27 2.55 3.82 5.10 6.37 7.64 8.92 10.19 11.47 12.74 15.93 19.11 22.30 25.48 31.85 38.22
70 1.40 2.80 4.20 5.60 7.00 8.40 9.80 11.20 12.60 14.00 17.51 21.01 24.51 28.01 35.01 42.01
Beam Diameter (m)

The formula for working out the beam diameter is given as:
d = 2t x tan(a/2)
where:
d: beam diameter;
t: throw length;
a: beam angle.

See also:


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