Problem

2026 AMC 8 Problem 11

Squares of side length 1, 1, 2, 3, and 5 are arranged to form the rectangle shown below. A curve is drawn by inscribing a quarter circle in each square and joining the quarter circles in order, from shortest to longest. What is the length of the curve?

Problem 11 diagram

\textbf{(A)} 4\pi \qquad \textbf{(B)} 6\pi \qquad \textbf{(C)} \dfrac{13}{2}\pi \qquad \textbf{(D)} 8\pi \qquad \textbf{(E)} 13\pi


Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.


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