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For all values of $r>0$, the area of the set of all points outside the unit square whose Euclidean distance to the unit square is less than $r$ is:

  1. $=\pi r^{2}+4 r$
  2. $<4 \pi r^{2}$
  3. $>4 \pi r^{3}+4 r$
  4. $=\frac{4 \pi r^{3}}{3}+6 r+2 \pi r^{2}$
  5. None of the above

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