AMC 10 Step by Step
2018 AMC 10BProblem 7P1-10~2 minPrint

In the figure below, NN congruent semicircles are drawn along a diameter of a large semicircle, with their diameters covering the diameter of the large semicircle with no overlap. Let AA be the combined area of the small semicircles and BB be the area of the region inside the large semicircle but outside the small semicircles. The ratio A:BA:B is 1:181:18 . What is NN ?

figure

Log in to save your progress.

Similar problems

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