Police Department City of Billings Patch Plaque This solid mahogany plaque shows the patch of Police Department City of Billings. This item is hand carved, painted and finish. Perfect as a wall plaque or a podium plaque. A recessed hook enables the plaque to hand flush any walls. Perfect as a police retirement gift or recognition awards.The Billings Police Department is a police department and main law enforcement service in Billings. This police department was established on 1902 with 10 police officers. It is now the largest city police force in Montana with about 139 sworn officers/80 civilian employees covering 50 square miles (130 km2) and a population of about 102,000. The city is divided into nine beats and patrolled by 75 officers.