The 21ft (6.4m) cabin cruiser began sinking as they passed Studland Bay on Sunday afternoon.
BBC: Family rescued from Studland nudist beach as boat sinks
The northern section of Studland Beach dedicated to naturists will be extended 160ft (50m) inland.
BBC: Studland Nudist Beach granted inland extension
The Studland Beach Users Action Group (SBUAG) was set up in 2005 to improve relations between beach users.
At the time of the incident, on 7 August 2010, the RNLI said 37 people had to be rescued from the boat when it hit rocks near Studland.
BBC: RNLI rescue boat
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