Measurement and calculation method of curved LED billboard

Tag: measurement curved LED billboard, calculation method of arc LED display screen


1. Please measure out chord length,chord height and arc length. In general, the dimension of arc length is hard to measure out and it also exist large size differences. Therefore, we often compute arc length or radius according to chord height and chord length. The difference value allowed within 10cm more or less. If the value was over 10cm, it should be measured or computed repeatedly.  measurement curved LED billboard


2. The measuring method of chord length & height: chord length is the straight-line distance from two endpoints of the arc. The midpoint of length to midpoint of curved lines is chord height.


3. The method of computing arc length and radius: figuring out the degrees of triangle framed by chord length & height.

For example:

a. Supposing the chord height as b and chord length as 2a=100, b=60.

calculation method of arc LED display screen 


b. The triangle is made by chord height and length, therefore the side length are a=100, b=60.  calculation method of arc LED display screen


c. According to Pythagorean Theorem, we can compute the third side length C=116.62 (that is a2 + b2 = c2).

d. Then according to trigonometric formulas: sin∠A=a/c(∠A is opposite angle of diagonal al), thus, sin∠A=0.86 and compute the arcsine∠A=59.32°

calculation method of arc LED display screen 


e. Drawing Side b to the center of the stretch , ∠ B vertex to the center of the connection and  then form an isosceles triangle. According to the theory that interior angles of a triangle and 180 °, we concluded that∠C=62°and the curved billboard radians is 124 °.  calculation method of arc LED display screen


f. In line with sin∠C=c/ bevel edge, we concluded sin62=100/ bevel edge. We can calculate sin62=0.883, thus the bevel edge=113.3.  calculation method of arc LED display screen


g. The circumference of arc is : 2πR=2*3.14*113.3 =711.52. circumference/ 360= 1.98, The arc length= 1.98*billboard radian124°=245.52

Final results are: arc length=245.52, radian=124°, R=113.3


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