Henry Ernest Dudeney/Puzzles and Curious Problems/274 - Halfpennies and Tray

by : $274$

 * Halfpennies and Tray
 * What is the greatest number of halfpennies that can be laid flat on a circular tray
 * (with a small brim to prevent overlapping the edge)
 * of exactly $9$ inches in diameter, inside measurements?
 * No halfpenny may rest, however slightly, on another.
 * Of course, everybody should know that a halfpenny is exactly one inch in diameter.