T h e C y c l o i d
x=a(t-sin(t))
y=a(1-cos(t))
For a set of parametric equations, we have:
x = /OT/ - /PQ/ = rt - rsin(t)
y = /TC/ - /QC/ = r - rcos(t)
Notice that the equation for y is the derivative of x:
= 3πa^2
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When a = 1:
