The calculated distance (air line) between Sligo and An Muileann gCearr is approximately 69 miles respectively 111 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 Sligo and An Muileann gCearr has been calculated here.
Air line (approximately)
111 kilometers
60 nautical miles