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UKMT Senior Mathematical Challenge, 2016

Geometry Difficulty 2.0 Junior Find the answer United Kingdom

Five square tiles are put together side by side. A quarter circle is drawn on each tile to make a continuous curve as shown. Each of the smallest squares has side-length 1. What is the total length of the curve?

(A) $6\pi$ (B) $6.5\pi$ (C) $7\pi$ (D) $7.5\pi$ (E) $8\pi$

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