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2014 General #13

Source:

July 5, 2022
2014General Test

Problem Statement

Square S1S_1 is inscribed inside circle C1C_1, which is inscribed inside square S2S_2, which is inscribed inside circle C2C_2, which is inscribed inside square S3S_3, which is inscribed inside circle C3C_3, which is inscribed inside square S4S_4.

Let aa be the side length of S4S_4, and let bb be the side length of S1S_1. What is ab\tfrac{a}{b}?
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