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 These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. AMC logo.png