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2021 AMC 10A Question 19

AMC10 · 2021 AMC 10A

Question 19

The area of the region bounded by the graph of $$
x^2+y^2 = 3|x-y| + 3|x+y|
$$ is $m+n\pi,$ where $m$ and $n$ are integers. What is $m + n?$
  1. $18$
  2. $27$
  3. $36$
  4. $45$
  5. $54$