Abwickeln

Abgewickelter Umfang

Umfang

r = 4.52 (slider from 1 to 5, step 0.01)
M_2: (0.0, r)
c = Circle(M_2, r)
α = 3.141592653589793 rad (slider from 0 to 6.283185307179586, step 0.017453292519943295)
a: α / 180.0 / °
b_1: a * 3.141592653589793 * r
Text1: "a= " + a + ""
Text2: "b = " + b_1 + ""
M: (b_1, r)
d_1 = Circle(M, r)
A, B = Intersect(c, xAxis)
e = Circle(B, b_1)
C, D = Intersect(e, xAxis)
f = Segment(B, D)
D' = Rotate(D, -1.0 * α, M)
β = Angle(D', M, D)
b = CircleArc(M, D, D')
D_2: (0.0, 2.0 * r)
d = Segment(D_2, A)
Text3: "d  =  2r  =   " + (2.0 * r) + " cm"
Text4: f + " cm"
Text7: 2.0 * 3.141592653589793 * r + " cm"
γ = Angle(D, M, D')
h = Segment(M, D')
i = Segment(M, D)
Text5: "Länge des Kreisbogens b = " + b + " cm"
Text8: "Winkelweite des Kreisausschnitts γ = " + γ + ""