The calculated distance (air line) between Cavan and An Muileann gCearr is approximately 32 miles respectively 52 kilometers.
By car or train, the actual journey to An Muileann gCearr is certainly longer, as only the direct route (as the crow flies) between Cavan and An Muileann gCearr has been calculated here.
Air line (approximately)
52 kilometers
28 nautical miles