Arc LED display

　　Arc LED screen is seldom used, and arc screen can only calculate the area of steel structure and arc screen if you know the arc length, chord length, chord height, etc. Constant Color Optoelectronics introduces the calculation method of arc screen in detail.

　　1. Measure chord length, chord height and arc length

　　Generally, the arc length is difficult to measure and the size difference is large, so the arc length and radius are calculated according to the chord height and chord length for verification. The difference can be within 10cm. If the difference is large, please measure and calculate repeatedly.

　　2. Chord height and chord length measurement method

　　The linear distance between the two endpoints of the arc is the chord length, and the distance from the midpoint of the chord length to the midpoint of the arc line is the chord height (or: the distance from the midpoint of the chord length to the vertical chord length to the arc line is the chord height). The chord length, chord height, and arc length of the arc screen.

　　3. Calculation of arc length and radius based on chord height and chord length

　　Calculation idea: Calculate the angle of right triangle formed by chord height and chord length by root formula. Example:

　　① Set chord height as b, chord length as 2a, measure 2a=200, b=60, calculate arc length and radius

　　② Chord height and chord length form triangle side length, i.e. a=100 b=60 chord height and chord length calculation method

　　③ Chord height and chord length form triangle side length, that is, a=100 b=60. Calculate c side length according to Pythagorean theorem. Pythagorean theorem formula: a square+b square=c square, that is, c=116.62

　　④ Then, according to the trigonometric function formula sin ∠ A=a/c (∠ A is the opposite angle of a), that is, sin ∠ A=0.86, and then calculate the angle of ∠ A=59.32 ° chord length and chord height with the anti sine function of the calculator

　　⑤ Extend edge b to the center of the circle, and connect ∠ B vertex to the center of the circle. The isosceles triangle is formed. According to the angle inside the triangle and 180 °, the isosceles triangle ∠ C=62 ° is obtained, and the arc of the arc screen is calculated as 124 ° arc

　　⑥ Then according to the formula of sin ∠ C=c/bevel, it is obtained that sin62=100/bevel. Then use the calculator to calculate sin62 as 0.883, that is, the length of bevel is 113.3 R=113.3

　　⑦ The circumference of the circle where the arc is located is: perimeter=2 π R=2 * 3.14 * 113.3=711.52 perimeter/360, and the value of each angle of the circle is: 1.98 arc length=1.98 per degree * 124 ° of billboard arc=245.52.

　　Finally, it is concluded that the arc length is 245.52, the radian is 124 °, and the radius is 113.3.

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