Unrolling a circle
Date: 5 April 2013

When a bike tire turns one revolution the bike travels a distance equal to the circumference of the tire. Here is a visualtion to help students understand why.

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D = 3.5 (slider from 3 to 15, step 0.05)
r: D / 2
b = 0.05 (slider from 0.05 to n, step 0.01)
B: (15, 0)
A: (0, 0)
a = Line(A, B)
n: ((2 * π) * r)
E: (b, r)
d = OrthogonalLine(E, a)
F = Intersect(d, a)
e = Segment(A, F)
F' = Rotate(F, ((360 / r * (n - e) / 6.28))°, E)
α = Angle(F', E, F)
f = CircleArc(E, F, F')
u = Vector(E, F')
c = Circle(E, r)
g = -2 (slider from -2 to 0, step 0.05)
C: (0, g)
u' = Rotate(u, 180°, E)
I: (50, -2)
text1: "Diámetro = " + D + " unidades"