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LED lamp lens angle and illumination area
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The angle of the lens determines the direction of illumination of the light, as well as the size of the aperture and the size of the illumination area, which can be calculated using a mathematical tangent function.
As shown in the figure, the ratio of the opposite side of ∠A to the adjacent side of ∠A is called the tangent of ∠A.
It is written as the opposite side of tan=∠A/the adjacent side of ∠A=a/b
Sharp angle trigonometric function
Tan10°=0.176 (can calculate 20 degree lens value)
Tan12.5°=0.222 (25 degree lens value can be calculated)
Tan15°=2-√3
Tan22.5°=√2-1
Tan30°=√3/3
Tan45°=1
Tan60°=√3
The tangent function can be used to calculate the angle of the lens at different angles and the ground aperture at different heights. The aperture area can be used to calculate the illumination area.
30 degree angle (tan15°=2-√3)*2
45 degree angle (tan22.5°=√2-1)*2
60 degree angle (tan30°=√3/3)*2
120 degree angle (tan60°=√3)*2
Area formula S=πr^2
Different angles, different aperture and illumination area values
30 degree angle, 1 meter aperture diameter 0.56M, irradiation area 0.246 square meters
2 meters aperture diameter 1.12M irradiation area 0.985 square meters
3 meter aperture diameter 1.68M irradiation area 2.217 square meters
45 degree angle, 1 meter aperture diameter 0.828M, illumination area 0.538 square meters
2 meter aperture diameter 1.656M irradiation area 2.154 square meters
3 meter aperture diameter 2.484M irradiation area 4.864 square meters
60 degree angle, 1 meter aperture diameter 1.15M, irradiation area 1.046 square meters
2 meter aperture diameter 2.3M irradiation area 4.189 square meters
3 meter aperture diameter 3.46M irradiation area 9.424 square meters
120 degree angle, 1 meter aperture diameter 3.464M, irradiation area 9.424 square meters
2 meter aperture diameter 6.928M irradiation area 37.697 square meters
3 meter aperture diameter 10.392M irradiation area 84.818 square meters
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