1991 AHSME Problems/Problem 10

Point $P$ is $9$ units from the center of a circle of radius $15$. How many different chords of the circle contain $P$ and have integer lengths?

(A) 11 (B) 12 (C) 13 (D) 14 (E) 29 The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. AMC logo.png