MathDB
Squares, Circles, and Chords

Source: 2020 AMC 12B #10

February 6, 2020
AMCAMC 12AMC 12 B2020 AMC 12Bgeometry2020 AMCsquare

Problem Statement

In unit square ABCD,ABCD, the inscribed circle ω\omega intersects CD‾\overline{CD} at M,M, and AM‾\overline{AM} intersects ω\omega at a point PP different from M.M. What is AP?AP?
<spanclass=′latex−bold′>(A)</span>512<spanclass=′latex−bold′>(B)</span>510<spanclass=′latex−bold′>(C)</span>59<spanclass=′latex−bold′>(D)</span>58<spanclass=′latex−bold′>(E)</span>2515<span class='latex-bold'>(A) </span> \frac{\sqrt5}{12} \qquad <span class='latex-bold'>(B) </span> \frac{\sqrt5}{10} \qquad <span class='latex-bold'>(C) </span> \frac{\sqrt5}{9} \qquad <span class='latex-bold'>(D) </span> \frac{\sqrt5}{8} \qquad <span class='latex-bold'>(E) </span> \frac{2\sqrt5}{15}
Back to ProblemsView on AoPS