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2021 AMC 10A Problems/Problem 19

Revision as of 14:14, 11 February 2021 by Happykeeper (talk | contribs) (→‎Solution)

Problem 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 $m + n$?

$\textbf{(A)} ~18\qquad\textbf{(B)} ~27\qquad\textbf{(C)} ~36\qquad\textbf{(D)} ~45\qquad\textbf{(E)} ~54$

Solution

[File:Image_2021-02-11_111327.png]

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