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2016 AMC 10B Problems/Problem 21

Revision as of 08:28, 21 February 2016 by Mathlogin (talk | contribs) (Created page with "==Problem== What is the area of the region enclosed by the graph of the equation <math>x^2+y^2=|x|+|y|?</math> <math>(A) \pi+\sqrt{2} (B) \pi+2 (C) \pi+2\sqrt{2} (D) 2\pi+\s...")
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Problem

What is the area of the region enclosed by the graph of the equation $x^2+y^2=|x|+|y|?$

$(A) \pi+\sqrt{2} (B) \pi+2 (C) \pi+2\sqrt{2} (D) 2\pi+\sqrt{2} (E) 2\pi+2\sqrt{2}$

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