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imc

geometry intermediate

Problem

In the figure below, congruent semicircles lie on the diameter of a large semicircle, with their diameters covering the diameter of the large semicircle with no overlap. Let be the combined area of the small semicircles and be the area of the region inside the large semicircle but outside the semicircles. The ratio is . What is ?
problem
(A)
(B)
(C)
(D)
Solution
Use the answer choices and calculate them. The one that works is .
Final answer
D