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2016 AMC 10B Problem 21

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2016 AMC 10B Problem 21AMC 10 Step by Step
Name:                             Date: September 13, 2026
Circles · difficulty 4 of 5 · about 6 min · position P21-25

What is the area of the region enclosed by the graph of the equation x2+y2=∣x∣+∣y∣?x^2+y^2=|x|+|y|?

  1. A)

    π+2\pi+\sqrt{2}

  2. B)

    π+2\pi+2

  3. C)

    π+22\pi+2\sqrt{2}

  4. D)

    2π+22\pi+\sqrt{2}

  5. E)

    2π+222\pi+2\sqrt{2}

Working