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2016 AMC 10B Question 21

AMC10 · 2016 AMC 10B

Question 21

What is the area of the region enclosed by the graph of the equation $x^2+y^2=|x|+|y|?$
  1. $ \ \pi+\sqrt{2} $
  2. $ \ \pi+2 $
  3. $ \ \pi+2\sqrt{2} $
  4. $ \ 2\pi+\sqrt{2} $
  5. $ \ 2\pi+2\sqrt{2} $