On a circle with a radius of 25 mm, if the length of an arc is 50 mm, then the arc number to the center angle of the circle is (),

On a circle with a radius of 25 mm, if the length of an arc is 50 mm, then the arc number to the center angle of the circle is (),


The circumference of the circle is 2 π R, and the corresponding degree is 360 degrees
Degree = (50 / 2 π R) * 360 degree = (50 / 2 * 25 * π) * 360 degree = (50 / 50 π) * 360 degree = (1 / π) * 360 degree = 360 / 3.14 = 114.65 degree



The radius of the circle is 6.3m, and the chord length AB = 5.4m. Calculate the vertical height from the chord length AB to the arc
By the way, can you also calculate the arc length? I'll give you all the marks


Let the center of the circle be o. connect OA, make AB vertical line through o point, perpendicular foot be C, intersect D. then CD is chord, and the vertical distance from AB to the circle is the largest. In addition, OD ⊥ AB, OA, od are radius. Then: AC = BC = (1 / 2) AB = (1 / 2) 5.4 = 2.7 let the length of AB be x, then: x = CD = od-oc