It is presumed that the Sherwood Forest you are referring to in the question is the one associated with the city of Nottingham in the United Kingdom and the local legend of Robin Hood. The city of Manchester is located in the county of Lancashire and Sherwood Forest is located at Forest Road in the city of Mansfield, which is located in the county of Nottinghamshire (postal code: NG18) in the United Kingdom. The distance between the two cities is estimated to be approximately 68.4 miles.

When the distance between the two cities is expressed in terms of kilometres, it is estimated to be approximately 110.07 kilometres. The city of Manchester is located to the southeast of Sherwood Forest. The duration of time taken to cover the distance is approximately one hour and forty minutes.