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2021 AMC 10AProblem 19P16-20~7 minPrint
Coordinate GeometryAbsolute Value & InequalitiesCirclesSplit into exhaustive cases and handle eachCut the figure into known shapes (triangles, rectangles, sectors)Exploit symmetry to reduce work or pair up objects

The area of the region bounded by the graph of x2+y2=3∣x−y∣+3∣x+y∣x^2+y^2 = 3|x-y| + 3|x+y| is m+nπm+n\pi , where mm and nn are integers. What is m+nm + n ?

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Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.