Provide a scatter plot of typical output

Question

Simulate 10⁶ outcomes (X, Y ), where

X = R cos(Θ), Y = Rsin(Θ)

with Θ ~ U[0, 2Π), and R = 5 + S with S ~ Exp(1) independently of Θ. Provide a scatter plot of typical output, and give the (empirical) correlation. Comment on the correlation and dependence of (X, Y ). Supply your code.