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2002 AMC 10AProblem 7P1-10~2 minPrint
CirclesRatios, Percents & AveragesSet up the equation/formula and compute; no special trick needed

A 45∘45^\circ arc of circle A is equal in length to a 30∘30^\circ arc of circle B. What is the ratio of circle A's area and circle B's area?

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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. Also appeared as 2002 12A #7.