x(t) = a cos(t) y(t) = a sin(t)

x^2 + y^2 = a^2

r(θ) = a

(for a circle with center at the origin and radius a)

s = 2 π a

s(t) = a t

κ(t) = 1/a

m(t) = -cot(t)

ϕ(t) = t

left double bracketing bar x(t) right double bracketing bar = a